You are here:

Geometry/Questions Answered by Expert Azeem Hussain

SubjectDate Asked
Dimensions of a Compound shape with only the area2/2/2012
  Q: I am having trouble with a problem which is seeking the width (x) of a Norman window (a square with ...
  A: Hey Chris, For a Norman window, the side of the square is equal to the diameter of the semicircle. ...
Distance Between Point and Line1/26/2012
  Q: Hey I have an exam tomorrow and I'm stuck on this review question A cable company is connecting a ...
  A: The shortest distance is the perpendicular distance. This can be computed by taking the orthogonal ...
Pythagorean Triples1/3/2012
  Q: The given lengths are of a right triangle. All three sides lengths of the triangle are integers and ...
  A: Hey SuperGeek, There are two options: (1) Both sides are legs (2) The longer side is the hypotenuse ...
Congruency Proof12/14/2011
  Q: Given: line AB is congruent to line AC, Angle BAD is congruent to angle CAD. Prove: line AD bisects ...
  A: It is given that angle BAD is congruent to Angle CAD and therefore triangles BAD and CAD are ...
Geomtry Using Similarity12/13/2011
  Q: The Design for a Mural is 16 in. Wide and 9 in High. What are the Dimensions of the largest possible ...
  A: Once you've converted all measurements to the same units, divide the width of the wall by the width ...
Curve/Point12/3/2011
  Q: i am not a math major, even a student but am curious about the basics of geometry. what is a ...
  A: Strictly speaking, there are countable infinites and uncountable infinites. The natural numbers (1, ...
Trigonometry12/1/2011
  Q: This question is about heights and distances.It is from class X.I actually tried to understand and ...
  A: Begin by drawing a diagram of the situation. The buildings are understood to be perpendicular to ...
Curve/Point11/28/2011
  Q: i am not a math major, even a student but am curious about the basics of geometry. what is a ...
  A: In general, straight lines are easier to work with, both intuitively and computationally. In ...
Curve/Point11/27/2011
  Q: i am not a math major, even a student but am curious about the basics of geometry. what is a ...
  A: A curve of is made up of infinitely many points. A point is a specific location whose dimension is ...
Diameter and Circumference11/22/2011
  Q: What is the Percentage of a Corresponding value in a Half Circle's circumference and its Diameter. ...
  A: Draw a circle of radius R centred at the origin. Treat it essentially as you would the unit circle. ...
Triangle Congruency11/4/2011
  Q: There is a isosceles triangle ABC that has a segment BD splitting it directly in half to form two ...
  A: As written, if BD splits the isosceles into two right triangles, angles ADB and CDB are by ...
Determining Triangle Congruence10/19/2011
  Q: http://imgur.com/qKFNm The picture above shows two triangles with a shared segment as well as ...
  A: PT=PT by the reflexive axiom, which is necessary to mention. Stating that IT is parallel to OP by ...
Complementary Angles10/15/2011
  Q: Angle A and Angle B are complementary. Find m angle A and m angle B m angle A= (3x+2)(theres a ...
  A: Complementary angles sum to 90 degrees. This means angle A plus angle B equal 90 degrees, which ...
Tangent to Conic Section9/10/2011
  Q: plzzzzzz tell me how to find equation of tangent to any conic section from a point outside it.
  A: Hey jazzzzzzz, Choose an appropriate interval where you can define the conic section as a function. ...
Proofs - Isosceles Triangle8/29/2011
  Q: I have a homework in geometry. It is about proving triangles. I am asked to prove that the triangle ...
  A: By the definition of perpendicular, angles BDA and CDA are both 90 degrees. BD=BC (given) and AD=AD ...
Geometry Problem & Symbols?8/5/2011
  Q: I am having a little bit of trouble. First off, does this ∡ mean "measured angle"? I ask that, ...
  A: You answered the first question correctly. Note that having found the measure of angle 2, you could ...
Geometry Problem & Symbols?8/5/2011
  Q: I am having a little bit of trouble. First off, does this ∡ mean "measured angle"? I ask that, ...
  A: The symbol about which you inquire means "angle." (Excluding the arc, the symbol still means ...
Mirrored Numbers - (Exact Replica of the Number) - Optics & Real Life Use ?7/26/2011
  Q: What i observe by looking at the Numeric Whole Numbers(Integers) in Mirror (Glass) Object are the ...
  A: Mirrored Numbers are palindromic numbers containing the digits 0, 1, and 8. I don't believe this ...
Loci Help! (illustrated)7/25/2011
  Q: I saw where this question was asked before, but could you provide drawing examples of what you mean. ...
  A: Hey Anna, In the diagram, BX is the angle bisector. The zero-point case is when the given distance ...
Isoceles Trapezoid Diagonal7/17/2011
  Q: sir please explain me the proof of arriving at the length of diagonal in a isoceles trapezium which ...
  A: Let a be the short base, b be the long base and c be the length of the equal sides. Draw the ...
Quadractic Relations7/13/2011
  Q: Hey i have a question. Determine the measure of the bas and the height of the triangle if its area ...
  A: The area of a triangle is determined by A=bh/2. You know A=30, b=(x+6) and h=(x-1). Plug them into ...
Negative Angles7/2/2011
  Q: Find the measure of the complementary angle of (x+3)°? let y as the angle, c as complement y=(x+3)° ...
  A: It would be a stretch to allow x to take on negative values. By definition, complementary angles ...
Standard Form of a Line6/21/2011
  Q: i'm having trouble with this problem. please help Write the equation of the line that contains the ...
  A: Hey Julia, Perpendicular lines have slopes that are negative reciprocals of one another. An ...
sin(ab)6/21/2011
  Q: Is there a trig identity for sin(ab) where ab is the product of two angles? I've searched online ...
  A: Hey Adam, To my knowledge, there is no general identity that will give you a result with no ab ...
Basic Trigonometry6/18/2011
  Q: i'm having alot of trouble with these two problems. There a bit alike and I don't know how to solve ...
  A: The key to solving both of these problems is reducing the situation to right triangles. Drawing a ...
Loci Help!6/7/2011
  Q: Given an angle, ABC,there are 3 possibilities for the locus of points in a plane equidistant from ...
  A: Hey Helen, If we're indeed in the plane (2-D) and not in space (3-D), then your statements ...
"Very Difficult Question in Geometry"6/4/2011
  Q: Plzzzzzzz give a very difficult question in geometry so that I can practice
  A: All right Jazzzzzzz, here goes. In two dimensions, consider a 5m by 5m shed adjacent to an ...
3D Object's Cost6/2/2011
  Q: Define a 3D object where the total cost of its volume is $3/cm^3, its surface area cost is ...
  A: Hey Jim, The first thing you need to do is select the shape of the 3D object. You then need to ...
Trigonometric Identities5/23/2011
  Q: Good day - out of thirty (30) questions on a worksheet,I am unable to do the following. I have a few ...
  A: Hey Kyle! A strategy I find helpful with these problems is to break all the operators into sines ...
Solving Logarithmic Equations5/15/2011
  Q: Solve 2log[2](8x)-log[2](1+x^2)=4 I couldn't use the quadratic formula to find my answer! ANSWER: ...
  A: Whoa Eddy, You're raising 64 to the power of x? Please explain your reasoning! Whenever you have ...
Quadratic Trigonometric Equation5/15/2011
  Q: Solve for θ for 0°≤θ<360° for the equation 2Sin^2 θ + 2 Sin θ = 1 I need ...
  A: The sine of an angle represents the y-coordinate of a point on the unit circle. Provided θ is ...
Proving a Trigonometric Identity5/15/2011
  Q: Does my answer prove the identity: Tan^2 x = (1-cos2x)/ (1+cos2x)? Tan^2 x = Sin^2 x / Cos^2 x. = ...
  A: You've almost got it. The half-angle formulas are sin^2 x = (1 - cos2x)/2 and cos^2 x = (1 + ...
Solving Logarithmic Equations5/15/2011
  Q: Solve 2log[2](8x)-log[2](1+x^2)=4 I couldn't use the quadratic formula to find my answer! ANSWER: ...
  A: Eddy, To verify your answer, you can always plug it into the original equation. x=1.5 does not ...
Solving Logarithmic Equations5/14/2011
  Q: Solve 2log[2](8x)-log[2](1+x^2)=4 I couldn't use the quadratic formula to find my answer!
  A: Hey Eddy, By properties of logarithms, constant multiples can be made exponents of the (argument). ...
Quadratic Trigonometric Equation5/14/2011
  Q: Solve for θ for 0°≤θ<360° for the equation 2Sin^2 θ + 2 Sin θ = 1 I need ...
  A: Use the substitution sin(θ)=x, and you'll find your equation is quadratic. Find its roots. ...
Quadratic Trigonometric Equation5/14/2011
  Q: Solve for all delta for 0 < or equal to delta < 360 for the equation 2sin^2 (delta) + sin (delta) = ...
  A: Substitute sin(delta) with x. The equation becomes 2x²+x=1, or 2x²+x-1=0. This is a quadratic ...
Finding the Exact Value of Trig Functions5/14/2011
  Q: Find the exact value of the trig function Given: Sin A = 3/5 and Sin B = -5/13 and A and B are in ...
  A: As the sine of an angle represents a y-value on the trig circle, it can have a different value in a ...
Factor Completely5/10/2011
  Q: i do not understand this at all......a rectangular prism has a volume of X^3y+xy^3-2x^2Y^2 with a ...
  A: Hey Kelly, The expression for volume can be factored into V=(xy)(x²-2xy+y²), and then into ...
Polynomials5/2/2011
  Q: why the monomial shouldn't contain variable in it's denominator. Example 1/x is not monomial but x ...
  A: There are numerous properties that apply to functions where the exponents on x are all positive ...
Congruency Cases - SSS, SAS, AAS4/22/2011
  Q: I learnt in my juniour sections that two triangles are said to be congruent if they satisfy the ...
  A: The theorems can all be proven essentially by contradiction. However, they require diagrams that I ...
Internal Line Division4/12/2011
  Q: I'm having a difficulty in this question, i tried solving it but i failed answering it. Please help ...
  A: Hey John, If you draw the line, it looks something like this: P--O--------Q, with P being the ...
Exponent Issue3/29/2011
  Q: c^3-28c^(3/2)+27=0 This problem confused me because I did not think you could have a variable be ...
  A: Almost anything mathematical can be featured in an exponent. Fractional exponents are fairly ...
Reducing Fractions3/28/2011
  Q: ok my teacher says i need help in math with fractions but i don't even know how to reduce them to a ...
  A: When reducing fractions, you need to divide by the greatest common divisor in the numerator and ...
Intersection of Angle and Perpendicular Bisectors of a Triangle3/18/2011
  Q: If constructed correctly, the angle bisectors and the perpendicular bisectors of a triangle should ...
  A: Hey Deni, The angle bisectors will cross at the incenter and the perpendicular bisectors will cross ...
Circle and Pi3/18/2011
  Q: Why is any circle's circumference is always 3.14 times greater than its diameter? I mean when you ...
  A: All circles are similar. They can be expanded or contracted, but all their relative properties ...
Lateral Area - Triangular Prism3/9/2011
  Q: I really need help finding the lateral area of a triangular prism but, there is a missing angle that ...
  A: The lateral area of a triangular prism (or any prism) is the base perimeter multiplied by the ...
Similarity - Paint Can3/7/2011
  Q: Hey can you help me with this question im having a hard time doing it: A large can of paint has a ...
  A: Scale factors refers to the ratio of one-dimensional sides. This means for the smaller can, it ...
Eigenvalues of a 3 x 3 Matrix3/5/2011
  Q: Can you prove that a 3x3 matrix must have at least one real eigenvalue?
  A: The characteristic equation of a 3x3 matrix is a polynomial of degree 3. The roots of this ...
Apex or Vertex?3/3/2011
  Q: I am a second grade teacher and am currently teaching geometry. The curriculum requires that I ...
  A: When I was first taught solids, the same question came up. My teacher hesitated, but gave the ...
Rotations3/2/2011
  Q: I dont understand rotations.Can you help discribe this to me? Also I dont understand this problem.. ...
  A: "About O" means point O is the centre of rotation. Consider the following. Place a pencil on your ...
Surface Area2/28/2011
  Q: I'm having a really hard time trying to figure out surface area.... could you please teach me about ...
  A: Hey Jen, Surface area, or simply area, is the expression of two-dimensional geometry. It is the ...
Isosceles-based Prism2/27/2011
  Q: I'm trying to do my homework and I'm just stuck on this one problem. That's the question : The bases ...
  A: Hey Patrycja, First off, all prisms have rectangular faces. Take the base, whatever shape if may ...
Parabola - Bridge2/8/2011
  Q: how did you solve this problem? ...
  A: That question was asked 37 months ago today... And in retrospect, I don't know what I did to end up ...
Diagonal of Cube2/3/2011
  Q: What is the length of a diagonal line through a cube of 1 inch.What I am searching for is the ...
  A: Knowing the properties of 45-45-90 and 30-60-90 triangles is very useful, but it is the trusty ...
Finding the Equation of a Line1/24/2011
  Q: Find the equation of the line that satisfies the given condition. The line passing through the ...
  A: Hey Jolleen! Begin by finding the slope of the line. Parallel lines have identical slopes, so the ...
Rhombus1/20/2011
  Q: The is this question which I do not fully understand: A figure is a rhombus. It's side length is 13. ...
  A: Rhombi have four equal sides, so their perimeter is simply the side length multiplied by four. The ...
Area of a Triangle with Variable1/17/2011
  Q: I'm in sixth grade and I'm learning Pre-Algebra. I don't really understand how to find the area of a ...
  A: The area of a triangle is half the product of the base and the height. If you want a numerical ...
Area of Circle1/7/2011
  Q: How do I determine the area (square feet) of a 26" diameter circle?
  A: The area of a circle is given πr², where r is the radius, and π is the constant ...
Polygons - Internal Angles1/7/2011
  Q: I have stumbled upon a question that I do not understand. I would really apprieciate it if you could ...
  A: For an n-sided polygon, the sum of its interior angles is given by 180(n-2). From this equation, ...
Coordinate Geometry - Linear Equations w/2 Variables1/6/2011
  Q: What is the equation of the line that contains the points with (x,y) coordinates (–3,7) and (5,–1) ? ...
  A: The line can be expressed by a number of equations, but the simplest one to find is the ...
Basic Trig - Ladder Against Building1/5/2011
  Q: A 20 foot ladder leaning against a building making an angle of 60 degrees with the ground. How far ...
  A: Hey Sharonett! The building, the ground, and the ladder form a right triangle. You need to use ...
Quadrilateral's Area from Side Lengths12/12/2010
  Q: how to find the area of an quadrilateral when only its 4 sides are given.the four sides are ...
  A: To my knowledge, you need insight on the shape of the quadrilateral. If you know a little bit more, ...
Mathematical Modelling12/4/2010
  Q: I need to model a building with a curved roof structure. For example the equation of the roof ...
  A: In 3-D, we have the x-, y-, and z-axes, the latter of which is conventionally used for height. ...
Contrapositive, Converse, and Inverse10/28/2010
  Q: im currently using an online course for geometry, and some of it is confusing me, its the ...
  A: Hey Jason, The inverse is the same statement, but with "not" in front of each part. "If a figure ...
complement and supplement10/26/2010
  Q: so my objective is, find the measure (if possible) of the complement and the supplement of each ...
  A: If I had to guess, I'd say the 0.5 is relative, meaning the angle is half as large as its ...
Surface Area - Pyramid10/26/2010
  Q: i just started a new school and i don't really grasp the concept trying to find the surface area the ...
  A: As with all right pyramids (whose vertical faces are congruent isosceles or equilateral triangles), ...
Angles of Inclination10/13/2010
  Q: My question is in what real life situations do you use the angle of inclination? I kind of already ...
  A: I understand your situation. I'll give you a couple of examples, but frankly, it's not like I use ...
Cylinder Radius10/11/2010
  Q: The rectangular metal sheet of area 2m sq. is rolled to form a cylinder of volume 4/(pie)m cube. ...
  A: To solve this question, you need to make a system of equations in 2 variables using the equations ...
Law of Sines9/25/2010
  Q: My math homework, there is a triangle with a length called A and a length which is 12cm. Length A ...
  A: What you need here is the law of sines. It states that the ratio of a side to the sine of its ...
Isosceles Trapezoid9/20/2010
  Q: In an isosceles trapezoid the length of each leg is 3, each diagonal has length 7 and the longer ...
  A: Hey Space Man, Use the law of cosines to find the angle between a leg and the long base. Drop ...
Pizzas9/12/2010
  Q: Ok. So I need a lot if help with this question. I have been working on it a lot, but I can't seem to ...
  A: Hey Brianna, The area of a circle is found by A=πr², where r is the radius of the circle. ...
Pizzas9/12/2010
  Q: Ok. So I need a lot if help with this question. I have been working on it a lot, but I can't seem to ...
  A: Hey Brianna, You need criteria to answer this question. How important is the number of toppings ...
Area of Triangle9/10/2010
  Q: Question involves finding area of a triangle: 27= 1/2bh but the height is three times the base. ...
  A: The height is three times the base? No problem. h=3b. No need to guess anything now, just put this ...
Square Root Counterexample9/9/2010
  Q: Okay, in this problem you are supposed to find a counterexample that proves the conjecture wrong. I ...
  A: Hey Olivia, Take x to be any number between 0 and 1. Root x will be greater than x. If x=0 or if ...
Supplementary or Complementary8/30/2010
  Q: I know they would be supplementary if the it all was flat but I dont know how to do it since they ...
  A: Hamad, They are in the same plane. Picture a side view of a staircase. Or an inclined plane, with ...
Spherical Coordinate8/25/2010
  Q: Could you tell me how to calculate the distance of a point from origin of an ellipsoid in spherical ...
  A: I would say to convert the coordinates to rectangular, and then use the extended Pythagorean ...
Hyperbolas & Ellipses8/22/2010
  Q: Why we are considering 2 foci for ellipses and hyperbolas? Which is a and b for a hyperbola whose ...
  A: Let's begin by defining what a circle is: the locus of points equidistant from a single point known ...
Sum of Integers from 1 to 1008/21/2010
  Q: Find the fastest was to sum the integers from 1 to 100; from 1 to n. (hint: use patterns)
  A: Hey Erica! Classic question. Count pairs of numbers whose sum is 100, and then the the midpoint. ...
Various8/15/2010
  Q: I hope you can help me solve these problems: I am supposed to describe in words the locus that ...
  A: (a) It's worded a bit weird, but I believe the locus in question is the bisector of that angle. (b) ...
Diagonal of Prism8/14/2010
  Q: Can you help solve part b) of the attached problem (length of diagonal AB)?
  A: Hey Jeff, All this problem requires is two applications of the Pythagorean Theorem. I want you to ...
Plotting an Isoceles Triangle8/13/2010
  Q: I am a college student, but I have a problem with math. I really need some help solving this problem ...
  A: Hey Hope, Start by sketching the given points. This gives you a very rough idea of what to expect. ...
Proofs for Isosceles and Speed8/12/2010
  Q: I hope you can help me answer thisI need to prove : If an isosceles triangle has an altitude from ...
  A: I'll say this informally. Consider the two triangles created by the altitude. An altitude is, by ...
Geometry:Circles8/10/2010
  Q: I am homeschooled,and I have been stuck on these circles for awhile.I just don't understand the ...
  A: Hey Samantha, Question 2 is a direct application of the far arc-near arc formula (FANAF). Question ...
Geometry:Circles8/10/2010
  Q: I am homeschooled,and I have been stuck on these circles for awhile.I just don't understand the ...
  A: These questions all require you to know circle theorems involving arcs, such as the ones found at ...
Symmetric, Reflexive, and Commutative Properties7/12/2010
  Q: what is the definitions for these following properties.... symmetric, reflexive, commutative. thank ...
  A: Hey Autumn, These are all similar, so be sure you understand how to distinguish them. The ...
Lottery Odds7/5/2010
  Q: Would anyone's chances of winning the lottery be higher or lower if they played the same numbers ...
  A: It all depends on the process by which the lottery runner selects the winning numbers. If they are ...
Two-Column Proofs6/23/2010
  Q: My question is: Prove that tangents to a circle at the endpoints of a diameter are parallel. State ...
  A: Hey Aimee! Proofs like this require a labelled diagram. I'll do my best to describe one. There is ...
Trigonometry Without a Calculator6/21/2010
  Q: How can I find the values of trigonometric ratios of all angles like sin 23degrees or tan 59.45 or ...
  A: Without a calculator, you would need a trigonometric table. This is a table with angles down one ...
Multiplying & Dividing Negatives6/13/2010
  Q: "Sir , I am a high school student . But right from my childhood I was having a question in my mind ...
  A: Strictly speaking, one word: pragmatism. Because it works. The actual mathematical explanation is ...
Area Formulae for Hexagons6/8/2010
  Q: what is the formula to find the surface area of an irregular hexagon? also what is the formula for ...
  A: Hey Rosie, There is no formula for any irregular polygon's area. You'd need to subdivide it into ...
Isosceles Proof5/30/2010
  Q: Azeem, I am trying to do an Isosceles Proof but having no luck. Here's the problem: Complete the ...
  A: "Show that ABD and ACD are congruent" probably refers to the triangles. The perpendicular line ...
Triangles - Isosceles & Scalene5/26/2010
  Q: I'm a 12-year-old advanced-Cambridge 6th grade student and I'm taking Algebra next year. I'm doing ...
  A: Isosceles triangles have exactly two equal sides. As a result, they have two equal angles ...
Volume - Test Tube5/20/2010
  Q: I need the math for this one - if you have a test tube shape(a cylinder with semi-circular bottom ...
  A: Hey Tony! You have a cylinder with a hemisphere attached to it. Consider both solids separately. ...
Trigonometry - Definitions5/17/2010
  Q: how's pie's formula 22\7 and how do we get it can u please explain (how is it related to a circle) ...
  A: sin, cos, and all the rest are trigonometric operators. They exist because of we have defined them ...
Pi5/16/2010
  Q: how's pie's formula 22\7 and how do we get it can u please explain (how is it related to a circle)
  A: Pi (spelled without an e) is the ratio of a circle's circumference to its diameter. If you take the ...
Conventions for Drawing Shapes5/14/2010
  Q: Does it matter which way a 2 dimensional shape is drawn? While helping my child do her homework my ...
  A: It does not matter. In 2 or 3 dimensions, shapes can be drawn with any perspective, provided the ...
Far Arc Near Arc Formula5/7/2010
  Q: What is the rest of this conjecture? The measure of an angle formed by two intersecting secants ...
  A: Hey Megan! The measure of an angle formed by two intersecting secants through a circle is equal to ...
Proofs - Diameter Tangents5/3/2010
  Q: can you prove that tangents to a circle at the endpoints of a diameter are parallel? State what is ...
  A: I won't prove it formally for you, but the basic idea is as follows. Tangents, by definition, form ...
Circles and Pentagons5/3/2010
  Q: So I tried to figure this out for a long time, and I feel tha I am on the right track, however I am ...
  A: Hey Kevin! To my understanding, finding the diagonal is not necessary. Begin by finding the ...
Area - Yield Sign4/22/2010
  Q: A yield sign is equilateral with each side measuring 62cm. i measured down the middle for the height ...
  A: Hey Jacqueline! The general way of doing this is as follows. Subdivide your equilateral triangle ...
Lateral Area of Triangular Prism4/20/2010
  Q: My question is how to find the lateral area of a triangular prism. I've tried to figure out formulas ...
  A: Hey Allie! As with all prisms, the lateral area (bases excluded) is equal to the base perimeter ...
Dodecagon4/18/2010
  Q: How do you calculate the length of the 12 equal sides of a dodecagon based on the radius, ...
  A: The idea here is fairly simple. From the centre of the [regular] dodecagon, draw a line to two ...
Trigonometry - Aircraft4/10/2010
  Q: If I stand at the seaside and look out to sea I understand that the horizon is about 3 miles away. ...
  A: I'm not sure how much of an effect the curvature of the Earth has. If you were to neglect that ...
Sides of a Dodecagon3/25/2010
  Q: How can I calculate the length of each side of a regular do decagon with a radius of 19?
  A: Find the centre of the dodecagon. Draw a line to every vertex. You have now separated the triangle ...
Similarity - Cylinder3/23/2010
  Q: If the dimensions of a cylinder are tripled, how will it affect the surface area?
  A: Hey Travis, Dimensions are in 1-D, surface area is in 2-D. When you affect something in 1-D, the ...
Basic Trig - Ladder Against Wall3/13/2010
  Q: I have a favor to ask. I have a geometry question that I cannot figure out and would like some ...
  A: The ladder forms a right triangle with the wall. Height 7, base x, hypotenuse h. You can set up ...
Perpendicular Bisector - Definition3/13/2010
  Q: A very simple definition......... a perpendicular bisector is a line that bisects a specific line ...
  A: A perpendicular bisector splits a line segment in two equal parts and is at a right angle to that ...
Scale3/11/2010
  Q: My daughter is in the 6th grade and she has to find the scale; scale drawings and models; how do we ...
  A: To find the scale of 1 in: 12 ft, only one type of unit must be used. There are 12 inches in a ...
Solids - Painting Cubes3/10/2010
  Q: 125 small congruent cubes are combined to build a large cube. all the faces of the large cube are ...
  A: Hey Allyson! Begin by constructing your large cube. It will measure 5 by 5 by 5 small cubes. It ...
Quadrilateral Inscribed in a Circle.3/4/2010
  Q: In this picture, a quadrilateral is inscribed on a circle, angle ABC is 30 degrees, and the radius ...
  A: The radius is given, allowing you to find diameter AC. ABC is a 30-60-90 triangle, so you can use ...
Volume - Drum3/3/2010
  Q: I'm trying to calculate how many parts will fit in an drum. It's not really homework related but ...
  A: The drum is a cylinder and the volume of a cylinder can be calculated by πr²h, where r is the ...
Circle - Circumference3/3/2010
  Q: i have been to atleast 29 other sites that havnt explained it simply HOW DO I GET to find - the ...
  A: The formula for the circumference of a circle is 2 x pi x radius. Pi has an approximate value of ...
Probability - Marbles2/23/2010
  Q: A table shows that 8 red 19 blue 29 yellow and 23 green marbles were picked random;y fom a bag and ...
  A: From a purely probabilistic view, you would have to find the amount of marbles there were initially ...
Area - Regular Triangular Prism2/22/2010
  Q: I need to find the lateral area and surface area of a regular triangular prism with width 9 cm and ...
  A: The lateral area would be equal to the base perimeter multiplied by the height of the prism. That ...
Similarity - Globe2/18/2010
  Q: I dont know where to begin to answer this question. Is there a formu;a to start to fgure this ...
  A: Hey Allyson! There is a formula. The scale factor (k) is defined as the ratio of one side to ...
Regular Figures2/10/2010
  Q: I know virtually nothing about geometry and am trying to understand what Rudolf Arnheim is saying ...
  A: Equal side measures means all the sides have the same length. A square is a regular figure, other ...
Regular Figures2/9/2010
  Q: I know virtually nothing about geometry and am trying to understand what Rudolf Arnheim is saying ...
  A: Regular figures have equal side and angle measures. A regular triangle is an equilateral. A ...
Areas of Regular Triangles2/9/2010
  Q: Well my Geometry class is doing a section called Areas of Regular Triangles and I am completely ...
  A: Multiplying square roots is really quite simple. When multiplying roots, multiply the stuff outside ...
Area of Triangle Using Semiperimetre2/8/2010
  Q: The question the teacher gave me is to find the area of the triangle where radius of the circle ...
  A: The subject line doens't match the question, and that has me confused. I'm nearly certain this ...
Vectors - Dot and Cross Products1/28/2010
  Q: in vectors. we say the cross product is vector quantity and dot product is scalar. but why cross ...
  A: The dot product (aka scalar product) results in a scalar quantity. 2 vectors are combined and the ...
Volume - Water Tank1/26/2010
  Q: Our water holding tank is 9 feet tall and 10 feet in diameter,the high (full) waterline is 7 feet 2 ...
  A: Your water tank has a radius of 5 feet, or 60 inches. πr² tells you the area of a disc inside ...
Trapezoid1/25/2010
  Q: I need to know all the side lengths and angle measures for the trapezoid JKLM, where KL are parallel ...
  A: The trapezoid you have proposed is completely acceptable. From the information given, there is not ...
Trigonometry - 0, 90 Degrees1/21/2010
  Q: sir i know to derive the trigonometric values of 30,60,45degrees but how to find the values of 0,90 ...
  A: Draw a unit circle. 0 degrees is on the x-axis, so the sine is 0 and the cosine is 1. Similarly ...
Counterexmaples - Months1/20/2010
  Q: I am reading and re-reading these question, but i don't seem to get it. Geometry is NOT my best ...
  A: You're trying to show an example where the same given information results in a different conclusion. ...
Cone - Polyhedron?1/19/2010
  Q: is a cone a polyhedron with a circular base?
  A: Hey Heather, A cone is not a polyhedron. It is a circular cross-section of a pyramid, but still ...
Interior Angles of a Hexagon1/16/2010
  Q: how do i find the value of x in a six sided figure. it kind of looks like a hexagon. it has 98 ...
  A: To my understanding, you're trying to find the value of x, where x is an angle measure. (I'm going ...
Diagonals of Quadrilaterals1/14/2010
  Q: 1- How diagonals of quadrilaterals make triangles? 2- describe how to join triangles to make ...
  A: A diagonal joins two non-adjacent vertices (2 corners that aren't connected by a line). ...
Factoring1/6/2010
  Q: I'm in 9th grade geometry and i really need help. my teacher told us we need to know how to factor ...
  A: Hey Sierra! The basic principle of factoring is to turn a sum into a product of sums. It is a form ...
Science Fair Project1/5/2010
  Q: I am doing a science fair project. My expiriment is about rolling balls down a ramp that is ...
  A: When the ball goes down the ramp at 20 degrees, due to the direction of its momentum, it will try to ...
Area - Equil. Triangle1/2/2010
  Q: How do I find the area of an equil.triangle with a radius of 2 times square root of 3? ANSWER: Hi ...
  A: I'll take the radius to be what you said it is, that is the distance from the centre of the triangle ...
Counterexamples - Inequality12/31/2009
  Q: The question is Which of the following is a counterexample to the statement"If x > 3, then x > 6"? A ...
  A: The statement "If x > 3, then x > 6" means that if x is greater than 3, then it is also greater than ...
Lateral Area of Triangular Pyramid12/30/2009
  Q: I'm having a hrad time in geometry right now because im homeschoolong and my parents don't know a ...
  A: Hey Daryl! The lateral area of a triangular pyramid is the area of one of the triangles multiplied ...
Calculating Volume12/25/2009
  Q: is there an easy and quick way to calculate cubic meters
  A: It depends on the shape of the solid. A general technique you could use for small objects would be ...
Reflection Symantics12/18/2009
  Q: i am having trouble understanding how to reflect points on tests, the points given are ...
  A: The transformation you have written out is not a reflection, but rather a translation. The points ...
Sides of a Rectangle from its Diagonal12/5/2009
  Q: How can we find the sides of a rectangle whose diagonal is say 7", the ratio of the sides being ...
  A: You could draw a circle where the diameter was the known length (7"). If you join both ends of the ...
Sides of a Rectangle from its Diagonal11/29/2009
  Q: How can we find the sides of a rectangle whose diagonal is say 7", the ratio of the sides being ...
  A: This question requires a system of equations. Let x equal one side of the rectangle, and the other ...
Trigonometry11/19/2009
  Q: A 20 foot ladder is leaning against a building. If the base of the ladder is 6 feet from the base of ...
  A: Symon, When looking for an angle, you need to use inverse trig operations. In this case, the angle ...
Calculus I - Various11/3/2009
  Q: Hey there I have a test tomorrow nigh for Calc and I just can't seem to get the answers for these ...
  A: 2. To find the 30th derivative, begin by finding the first few. f(x)=cos(2x) f'(x)=-2sin(2x) ...
Finding Dimensions Given Area11/1/2009
  Q: I am trying to figure out how to get the base and lenght to a problem that only has the area given. ...
  A: Ultimately, your final formula will depend on the shape. You need an equation for area in terms of ...
Circle Formulae10/12/2009
  Q: Hey, I'm in first year calculus in university and it seems my prof expects us to know the xy formula ...
  A: The equation for the unit circle centred at the origin is x²+y²=1. The standard equation is ...
Angle of Elevation of Sun10/8/2009
  Q: Hey, I'm a high school junior and I'm trying to figure out how to find the elevation of the sun by ...
  A: Hey Bella, When dealing with a right triangle, basic trigonometry comes into play. Draw a right ...
Angle of Elevation of Sun10/7/2009
  Q: Hey, I'm a high school junior and I'm trying to figure out how to find the elevation of the sun by ...
  A: The method I will explain to you uses an inverse tangent. Find some flat ground, and hold the metre ...
Basic Trig - Airplane9/22/2009
  Q: An airplane takes off with an angle of elevation of 25º. It flies 1,100 feet before the angle levels ...
  A: Sketch the ground. Sketch the diagonal at 25 degrees to the ground. Connect the diagonal to the ...
Complementary Angles9/18/2009
  Q: My daughter posed this question to me, and I can't seem to solve it: Angle A and Angle B are ...
  A: As written, there is no solution to the quadratic equation. Assuming there is a typo and it's ...
Triangular Prism9/17/2009
  Q: how to find the surface area, volume and lateral area of the triangular prism if the height of the ...
  A: Assuming you have the three sides of the triangle and the prisms height... [a=side 1 of triangle ...
Various9/14/2009
  Q: Azeem, honestly i have no clue about maths, I really need you help. 1. Please help me to find the ...
  A: Unless if you don't know what a square is (in which case tell me), I can't make it much simpler than ...
Various9/11/2009
  Q: Azeem, honestly i have no clue about maths, I really need you help. 1. Please help me to find the ...
  A: A cube's surface area is composed of 6 equal squares. Find the area of one square and multiply that ...
Systems of Equations - Complementary Angles9/2/2009
  Q: I really am tryin to figure out a math problem concerning two complementary angles. I have tried ...
  A: Complementary angles sum to 90 degrees. L+M=90, N+P=90. You have two variables in two equations. ...
Square Roots8/31/2009
  Q: Task: Show the conjecture is false by finding a counterexample. Problem: The square root of a number ...
  A: Hey Cody! The square root of x will be greater than x when x is between 0 and 1 inclusively. ...
Supplementary & Complementary Angles8/30/2009
  Q: the suppliment of an angle is 36 degrees less than twice the suppliment of the compliment of the ...
  A: The supplement (note spelling) of the complement (note spelling) is not 180-90-x, but 180-(90-x). ...
Conversion - Cubic Meter to Ton8/30/2009
  Q: How to convert cubic meter into ton
  A: A cubic meter is a unit of volume, while a ton is a unit of mass. You may not convert from one to ...
Volumes and Areas8/20/2009
  Q: I need to find the lateral are (when possible), surface area, and volume. 3.14 needs to be used for ...
  A: For a rectangular prism, volume can be calculated by multiplying all three dimensions. Lateral area ...
hi8/19/2009
  Q: http://en.allexperts.com/q/Geometry-2060/2008/8/Coordinate-Geometry-Linear-Equations.htm I think u ...
  A: The order of the coordinates is irrelevant, as long as it is consistent. Whether (-3,7) or (5,-1) ...
Roots of an Equation8/15/2009
  Q: I recently came acros the following type of equation: (x - 2)/(x - 1) = (x^2 + 6x + 4)/(x - 1) ...
  A: Allow me to begin by stating that the ideal strategy is to cancel the common factor. This gives you ...
Analytic Geometry - 2-Point Distance8/15/2009
  Q: J (2,-5) K (-1,2) L (-5,-5) The distance formula consists of x1-y1 and x2-y2 so where does L come ...
  A: The formula for calculating the distance between two points on a plane is essentially the ...
Irrational/Rational Circumference8/13/2009
  Q: You said that if we take a line whose length is rational and bend it to form a circle, the ...
  A: "You said that if we take a line whose length is rational and bend it to form a circle, the ...
Circumference - Exactitude of Pi8/13/2009
  Q: Hey there, I was wondering that since pie is a number whose exact value is not known or it doesn't ...
  A: Hey Shikhin! You may have misunderstood the key part: FOLDING A STRAIGHT LINE INTO A CIRCLE DOES ...
Circumference - Exactitude of Pi8/13/2009
  Q: Hey there, I was wondering that since pie is a number whose exact value is not known or it doesn't ...
  A: "What if we cut the circle at a point on its circumference and then unfold the entire circumference ...
Circumference - Exactitude of Pi8/12/2009
  Q: Hey there, I was wondering that since pie is a number whose exact value is not known or it doesn't ...
  A: In theory, the length of any line segment or curve is measurable up to 100% accuracy. But, a ...
Properties of Triangles8/3/2009
  Q: "Hello Sir, I have three questions: Q1:if C=2B,then c^2=ab+b^2. Q2:one side of a triangle is double ...
  A: For Q1, you haven't actually asked the question. You've given me the setup, but you haven't asked ...
Proofs - Isosceles Triangle8/3/2009
  Q: I really need your help. I have struggled with this for months. I have a prrof that i cant seem to ...
  A: It seems as though your reason for statement 3 is mismatched. I think you should first state that ...
Base Angle Bisectors of Isoceles Triangle7/31/2009
  Q: This is a problem which has bothered me all my life, well, at least since I first learned geometery, ...
  A: The question you are asking is a theorem known as the Steiner-Lehmus theorem. It is very difficult ...
Number of Possible Triangles7/25/2009
  Q: On a triangle ABC ,D,E and F are points on side AB,G and H are on BC,I is a point on side CA. If all ...
  A: If the question is really what you've written, then the answer is zero, as joining 2 points will ...
Circle Intersecting Parabola7/19/2009
  Q: Q)In the X-Y plane, the equations of circle shown is x^2 + y^2 = 4 ( center is at 0,0). At how many ...
  A: Hey Vandhana, You said drawing the graph didn't help you. It helped me. The graph is, in my ...
Various7/18/2009
  Q: Find the area of a regular hexagon with side 2√3 cm apothem 3cm? (My problem is that i dont ...
  A: To prevent square roots from giving you "really long answers," it's best to just keep them as square ...
Similarity - Quadrliateral7/17/2009
  Q: The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the sides of a similar ...
  A: Hey Carly! In problems such as this, the first step is usually to find the scale factor, that is ...
Optimization - Area7/14/2009
  Q: It has been a LONG time since I have done this type of math. Can you refresh me on this simple ...
  A: There are numerous ways of doing this, including using systems of equations or Calculus. However, ...
Radical7/13/2009
  Q: What is a radical? In geometry, I know it has something to do with square roots, but I don't ...
  A: Hey Melissa, Radicals are what you think they are, square roots. Actually, they're any root. This ...
Area - Cylinder7/13/2009
  Q: I am looking at a tank 10 foot diameter 34 feet long. What is the formula for this and answer. Thank ...
  A: In order to find the surface area of a cylinder, break it up into three parts: the two circular ...
Analytic Geometry - Perpendicular Line7/1/2009
  Q: What is the equation for a line that passes thru (2,5) and is perpendicular to line y=0.5x-3? The ...
  A: Hey Marie! Begin by finding the slope of the line. Perpendicular lines have slopes that are ...
Perpendicular Lines6/30/2009
  Q: if the perpendicular lines doesn't form a right angle, can it still be considered perpendicular? ...
  A: Perpendicular lines are at right angles, 90 degrees, ALWAYS. This is their definition. Two ...
Perpendicular Bisector6/29/2009
  Q: It has been a LONG time since I did Geometry. Can you help me understand this? Do I draw this or ...
  A: There is a mathematical way of figuring this out. Begin by finding the slope of AB. This is done ...
Wrap Around a Bucket6/28/2009
  Q: I'm wrapping a vinyl adhesive around a bucket, and can't get the fit exact. I tried drawing the top ...
  A: You'll need to cut a sort of arch thing you have in the picture. It will have to be 31.42" on the ...
Basic Trig Involving Systems6/22/2009
  Q: From a point A, the angle of elevation of the top of a transmission tower is 57*. At the point B, ...
  A: Begin by sketching the situation. Assume the tower is perpendicular to the ground. You will have a ...
Unit Explanations6/16/2009
  Q: Why is perimeter measured in units and area is measured in square units? Please give examples to ...
  A: Dwayne, Reread the last part of my answer. It's essentially the same as with area, but in three ...
Unit Explanations6/16/2009
  Q: Why is perimeter measured in units and area is measured in square units? Please give examples to ...
  A: When you're measuring perimeter you are only dealing with one dimension. If I asked you to find the ...
Construction of Equilateral Triangle Around Given Center6/16/2009
  Q: Given only the length of the sides of an equilateral triangle and a point, how do I construct the ...
  A: Hey Dauda! Begin by constructing an equilateral (elsewhere on the page) using the given side ...
Basic Trig - 2 Wires6/15/2009
  Q: A pole is used to support an observation platform. The top of the pole is secured by two wires, one ...
  A: Assuming the pole is perpendicular to the ground, the pole and its two supporting wires comprise two ...
Circumference - Challenge Questions6/11/2009
  Q: I really need help with numbers 4-6 on the following page : ...
  A: For question 4, you know the total perimeter is equal to twice the side of the square plus twice the ...
Surface Area - Painting a Spherical Tank6/7/2009
  Q: I'm having a very hard time finding out how much paint I need to cover a spherical tank with a ...
  A: Begin by finding the surface area of the sphere. To do this, you need the radius which is half the ...
Loci6/4/2009
  Q: 1. sketch and describe the locus of all points in a plane that are 4 centimeters from a circle with ...
  A: 1. The locus would be a circle with radius of 12 (8+4=12). 2. This locus is really just a single ...
Skydiving5/31/2009
  Q: "My name is Kira Yuta I am in grade eleven in USA I am studying for my final exam and I came a upon ...
  A: "98% of its terminal velocity" means v=(0.98)45=44.1. Plug this into the equation and solve for t. ...
Skydiving5/30/2009
  Q: "My name is Kira Yuta I am in grade eleven in USA I am studying for my final exam and I came a upon ...
  A: What you need to understand in order to solve the question is written immediately before the ...
Surface Area of Triangular Pyramid5/20/2009
  Q: I have a Triangular Pyramid - all edges are 3cm. How do I figure the Surface area and volume?
  A: Every triangle is an equilateral, meaning they have angles measuring 60 degrees each. Subdivide an ...
Working Backwards on a Number Problem5/18/2009
  Q: I'm stuck on a geometry question and I dont understand it. Here's theA number is added to 4. The ...
  A: The easiest way to do this is to start at the last step and do the opposite of what is said. (The ...
Area - Sphere5/18/2009
  Q: I recently took a geometry test, and i am required to correct all wrong answers. The only question ...
  A: The radius of a sphere can be found from its diameter, exactly as you would do for a circle: divide ...
Comparing Prism Areas5/16/2009
  Q: the base of the right triangular prism is an equilateral triangle with a perimeter of 30 in. the ...
  A: Hey Matt, Lateral area is the product of the base perimeter and the height. Total surface area is ...
Sphere - Surface Area5/8/2009
  Q: i have a globe that has a volume of 33.5103 inches cubed i need to find the surface area of the ...
  A: The volume of a sphere (a globe is a sphere) can be found by the equation V=(4(pi)r^3)/3. Plug in V ...
Triangles and the Quadratic Formula5/7/2009
  Q: I read your answer to another student about how to solve a question similar to this one: "The ...
  A: Start by expanding your squares. 15²=x²+(x+2)² (15)(15)=x²+(x+2)(x+2) 225=x²+x²+2x+2x+4 Collect ...
Basic Trig - Tree5/5/2009
  Q: can you please help me drawing and solving this problem. i tried but i don't think it is the right ...
  A: This problem requires you to use basic trigonometry twice. Begin by drawing your tree tilted at 12 ...
Lateral Area - Regular Prism4/14/2009
  Q: I don't understand how to find the lateral area for regular prism. Can you explain in steps how do i ...
  A: A regular prism has 6 faces, all of which are rectangles. I'll ask you to draw a rectangular ...
Similarity with Volumes4/13/2009
  Q: ..STILL trying to help my daughter out but I can`t remember radius etc..... ( x 3.14, etc) I really ...
  A: a) Cylinders and cones work the same ways as pyramids and prisms. The volume of a cylinder is the ...
Volumes and Base Areas4/13/2009
  Q: ...I am the mom of a 9th grader and I am having a difficult time helping her with her homework. I am ...
  A: The volume of a pyramid is one-third of the product of the area and the height. V=Ah/3 (4.7)=A(1.5) ...
Twisted Tape Measure3/31/2009
  Q: March 31, 2009 Azeem, If you pull a long steel measuring tape out to, say, 10 meters, and make a ...
  A: There are undoubtedly the variables of tape width and how tightly it can be twisted. From my own ...
Polygons - Names3/25/2009
  Q: what are the names of the polygons eleven through twenty?
  A: 11-Hendecagon 12-dodecagon 13-triskaidecagon 14-tetrakaidecagon 15-pentakaidecagon 16-hexakaidecagon ...
Optimization - Area3/25/2009
  Q: . OK OK this is the original problem: a 30 cm wire is cut to two. One piece is to bend to a square. ...
  A: Let the perimeter of the rectangle equal x and that of the square equal y. x+y=30, so y=30-x. ...
Algebraic Volume and Surface Area3/24/2009
  Q: . I need help to figure out the followings: I want to find the ratio of the volume to the surface ...
  A: Begin by calculating the volume (multiply all 3 dimensions). Then calculate your surface area ...
Analytic Geometry - Line Division3/17/2009
  Q: If W2 is the starting point, then W7 is located two-thirds of the way between W2(0,3) and ...
  A: Sketch the situation. Divide the line segment approximately. You have 2 segments. Indicate their ...
Trig Identities3/15/2009
  Q: I am to verify 1-(sinx- cosx)^2/ sin x= 2cos x I got as far as cos^2x+ cos^2x/ sinx; which may or ...
  A: You need to verify this identity: [1-(sin x-cos x)^2]/sin x=2cos x. Note the brackets. Be sure to ...
Trigonometry - Radians3/15/2009
  Q: the question is: Find all the angles (A) (between 0 and 2pi) that sastisfy the equation sineA = -1 ...
  A: The easiest way to visualize this is to draw a circle centred at the origin with a radius of 1. sin ...
Most Common Digit from 1 to 10003/12/2009
  Q: Numbers are 1 to 1000. What is the most common number used in the series and what is the least used? ...
  A: I would say the least used digit is 0. This is because there is only one double zero per hundred. ...
Basic Trig - Angle of Elevation Word Problem3/10/2009
  Q: You are skiing down a mountain with a vertical height of 1500 feet. The distance from the top of the ...
  A: Think of the mountain as a right triangle seen from the side. The height is equal to 1500 and the ...
Trig - Carpenterial Angles3/9/2009
  Q: March 3, 2009 How is the math done in the general example of the following specific situation? You ...
  A: This formula is correct, but can be simplified as: angle_of_error=ASIN(RADIANS(distance_high/c)) ...
Calculus I - Minimizing Cost3/9/2009
  Q: the area of the yard is 100 sq m. To put a fence around the yard the cheapest way at a cost of ...
  A: Let x equal length and y equal width. xy=100. (Your assumption about the perimeter is not ...
Surface Area and Volume Formulae3/8/2009
  Q: what is the formula for surface area and volume for square pyramid, cyclinder, hemisphere, and ...
  A: Square pyramid: (b=base length, h=height, a=apothem) SA=b^2+2ab V=hb^2/3 Cylinder: ...
Trig - Carpenterial Angles3/7/2009
  Q: March 3, 2009 How is the math done in the general example of the following specific situation? You ...
  A: If your question is an actual follow-up to your original question, ask it as a follow-up. If it is ...
Trig - Carpenterial Angles3/3/2009
  Q: March 3, 2009 How is the math done in the general example of the following specific situation? You ...
  A: You can breathe a sigh of relief; trigonometry can allow you to solve for everything you've ...
Ovoids3/2/2009
  Q: I am trying to be sure that I am using the proper terminology. An egg shape (like a chicken egg) ...
  A: Ovals are loosely defined in mathematics. I'd like to first say that the term ovoid is derived from ...
Non-collinear Points3/1/2009
  Q: I am having trouble with thisPlot 7 non-collinear points on a page. How many different triangles can ...
  A: Hey Mia! Ignore the "at a time" part. To make a triangle you need to join three points, and that's ...
Compound Interest Rate2/27/2009
  Q: Joe wants to put his savings in a bank account. He has heard the bank will pay him interest of 6.5% ...
  A: If you were told that Joe's %3 000 investment gained 6.5% in one year, how would you calculate that? ...
Pythagorean Theorem - Shadow2/27/2009
  Q: A nine foot tree casts a forty foot shadow at 3:00 p.m. A boy was curious to determine the length ...
  A: Ivy, Sketch the situation. The tree is 9 feet tall, and [presumably] perpendicular to the ground. ...
Proofs - Isosceles Trapezoid2/25/2009
  Q: Prove that the lengths of the diagonals of an isosceles trapezoid are equal with out using any ...
  A: I'll do this informally. Draw a diagram of an isosceles trapezoid. Draw two altitudes ...
Coordinate Geometry - Square2/18/2009
  Q: Two opposite vertices of a square are ( -1, 2) and ( 3, 2).What are the coordinates of the other two ...
  A: Link the two opposite vertices. Find that line's midpoint. It is (1,2) You know your other ...
Statistics - Average of Tests2/17/2009
  Q: i need help on solving thisLance has taken five tests in his English class, each worth 100 points. ...
  A: This problem can be solved algebraically using two variables and two equations. The average (mean) ...
Area and Perimeter2/12/2009
  Q: I am a mother and my son is in 2nd grade he brought home a math paper today that I do not ...
  A: For the first problem, try making a 4 by 2 rectangle. As for the second problem, let's begin by ...
Similarity in 1, 2, and 3 Dimensions2/11/2009
  Q: We were given a rectangular figure with the dimensions of 11 in. L, 17 in. W, and 31 in. H (all with ...
  A: P, A, and V, are perimeter, area and volume, right? Let's call the scale factor k. In this ...
Algebraic Equations - Parking Lot2/9/2009
  Q: a parking lot is 72 feet less than twice the width. the lot requires 12 feet of buffering ...
  A: The area of a rectangle (it's a rectangular lot, right?) is the product of length and width. In ...
Triangle - Area from "Radius"2/8/2009
  Q: i need to find the area of an equilateral triangle with radius square root 3. I have to leave my ...
  A: By "radius" you mean the distance from the centre to a vertex, right? If not, do not read this. ...
Proofs - Midpoint of Arc2/5/2009
  Q: please i really need help. i was a wiz at algebra, but geometry has me completely confused. i'm ...
  A: I'll be straight up with you on this one: there is no way of proving that B is equidistant to the ...
Unusual Proofs2/4/2009
  Q: I know that one can sometimes prove that 2 plus 2 is not equal to 4. Is there any kind of proof that ...
  A: I can think of a situation: imagine a sphere, like the Earth. Start at the North Pole and go south ...
Angle of Depression2/3/2009
  Q: will the angle sizes still correspond to smallest angle across from smallest angle? I need the ...
  A: The angle elevation is equal to the angle of depression. The angle of depression is measured from ...
Working Backwards2/1/2009
  Q: Ali,Ben,Chandra and Devi had $790 altogether.At a shopping trip,Ali spent $60,Ben spent $90,Chandra ...
  A: The one constant in this equation is the amount of money they have left. Call this (x). The amount ...
Surface Area and Volume - Octagonal Pyramid1/30/2009
  Q: what are the beginning steps in finding the surface area and volume for a pyramid with an 8-gon ...
  A: Hey Alexandra! The volume would be calculated as any right pyramid's: multiply the base area by ...
Triangles - 30-60-901/29/2009
  Q: can you please help me with this triangle question, how do I treat 30-60-90 triangle, can you give ...
  A: Hey Natasha! I can't think of anything in terms of a formula involving perimeter, but I can tell ...
Angle Notation1/29/2009
  Q: in a triangle ∆ABC ∠ABC ∠BC ∠CA please tell what is the mean of these ...
  A: This symbol, "∠," means "angle." ∠ABC means the angle formed by lines AB and BC. This ...
Basic Trig - Cosine1/26/2009
  Q: to find the height of a tower a surveyor positions a transit that is 2 m tall at a spot 25 m from ...
  A: Think about it. The tower is perpendicular to the ground, and thus the right triangle is formed. ...
Basic Trigonometry1/25/2009
  Q: I will be very appreciated if you can help me in solving the follwing question. Draw a diagram of a ...
  A: By definition, sine is the ratio of the opposite side over the hypotenuse in a right triangle. So ...
Triangle Area on a 5 by 5 Array1/25/2009
  Q: To clarify my 1 unit by 1 unit arrayI have a five by five set of dots array (like a geoboard with ...
  A: I was able to find 16 downward-pointing 2 by 2 triangles. There are also 16 upward-, leftward-, and ...
Elementary Algebra1/23/2009
  Q: how do you add x+4+3x=48
  A: When solving equations, you need to get one of the variables all alone on the equals side. Bring ...
Gallons of Fuel in a Horizontal Tank.1/23/2009
  Q: I have a horizontal fuel tank that is 8 feet tall (diameter) and is 27 feet long. The interior ...
  A: To do this, you need to find the area of the circular segment and multiply all of that by the ...
Minimum Surface Area1/21/2009
  Q: I'm baking a cake, and I want to use the LEAST amount of frosting possible. In what shape should I ...
  A: Hey Jon! The shape with the smallest area for a given volume is a sphere. However, when you ...
Area - Pick's Formula1/20/2009
  Q: Using Pick's Formula, how does one approximate the area of the state? Please show an example using a ...
  A: Begin by drawing the state as a polygon. This means you'll have to roughen curves into diagonals, ...
Capacity of a Cylinder1/20/2009
  Q: I need to know the capacity of a cylinder 6 feet deep and 6 feet across. How many gallons will this ...
  A: I'm going to simplify things a bit by converting feet to inches. The cylinder is 72 inches deep by ...
Pattern Recognition1/3/2009
  Q: I have so much trouble with these kind of problems. I can understand the visual ones but not the ...
  A: I honestly don't know what to suggest for this. If you can see that the increase is irregular, you ...
Cutting a 16" Octagon1/2/2009
  Q: I have a 16" square stock and I am wanting to make a perfect octagon(equal on all sides).Can you ...
  A: The square and the octagon have few similarities. One of the only ones is the apothem (distance ...
Volume - Pyramid12/28/2008
  Q: how would i find the volume of a pyramid when the volume is 800cm3 and the base is not given?
  A: Please double-check your question. The question asks for volume, but also gives it: 800 cubic ...
Maximizing Volume While Minimizing Surface Area12/22/2008
  Q: To be honest, this isn't really a homework question but more of a practical joke. I'm trying to make ...
  A: The only thing I can really tell you is that a cubic box would optimize your volume with a given ...
Cylindrical Gas Tank12/21/2008
  Q: I have a horizontal cylinder gas tank it is 17 inches round and is 58 inches long, first how many ...
  A: The volume of a cylinder can be found by the formula V=πhr^2, where h is the height (in this ...
Analytic Geometry - Undefined Slope12/20/2008
  Q: What can you say about a line if every point on the line has the same x coordinate?
  A: Hey Trina! If every point on a line has the same x coordinate, then the line is completely ...
Midpoint & Improper Fractions12/17/2008
  Q: Heres my problem: M is the midpoint of L and N. Solve for the variable then find the lengths of LM ...
  A: Hey Crissy! Don't panic! I'll help you. The principal you're using is that LM+MN=LN. This is ...
Geometry Related to Billiards12/17/2008
  Q: I am doing a project in school in which I have to relate geometry to something we use in everyday ...
  A: Hey Karli, Billiards is more closely related to physics than geometry. When 2 balls collide, they ...
Solids - Snowmen12/16/2008
  Q: This is a three part question. I understand part 1 and some of 2. Chiquita and Rhonda are each ...
  A: I'll start by saying that "smaller" is a very ambiguous word. I would think volume and not ...
Complement and Supplement12/15/2008
  Q: I am trying to help my daughter study and we are stuck on this question- The measure of the ...
  A: Let the angle equal x. The complement of the angle would thus be 90-x. The supplement, as dictated ...
Area - Irregular Objects12/13/2008
  Q: First, I am not a student, I am over 50 years old and trying to remember my highschool geometry for ...
  A: Your general approach, subdividing the lot into triangles and quadrilaterals, is the ideal, and ...
Reflexive Property12/12/2008
  Q: I'm stuck on a problem that says, Choose two cities from the United States road map. Describe the ...
  A: The reflexive property essentially states that something is equal to itself. AB=BA, if you will. ...
Coordinate Geometry - Right Triangle12/10/2008
  Q: How to calculate coordinates of third vertex, given the coordinates of hypotenuse as (1,3) and ...
  A: I'm going to assume the legs of the triangle are parallel with the axes (if they aren't, there are ...
Solids - Cylinder and Hemispheres12/3/2008
  Q: A satellite is in the shape of a cylinder with two hemispheres fitted snugly on either end. If the ...
  A: Find the volume of the cylinder using V=πhr^2, where h is the height and r is the radius. The ...
Perimeter - Rectangle12/1/2008
  Q: I'm trying to help my daughter write a formula for finding the perimeter of a rectangle with 82 ft. ...
  A: The perimeter of a rectangle is found by twice the sum of both dimensions, or p=2(l+w). If the ...
Polyhedra - Cylinders and Railway Track11/27/2008
  Q: I need to be honest, i dont anything about Geometry, please examplain the answer to me so that i can ...
  A: His plan was obviously incorrect, but not for the reasons you mentioned. The units are not the ...
Polyhedra - Cylinders and Railway Track11/26/2008
  Q: I need to be honest, i dont anything about Geometry, please examplain the answer to me so that i can ...
  A: These questions are a bit intimidating, but you have to take them step by step. For the first ...
Radius from Inscibed Polygon11/18/2008
  Q: How to find the radius of a circle that will contain a triangle (all corners touching the circle). ...
  A: The triangle you're referring to is said to be "inscribed" in the circle. The easy way to do this ...
Triangles - Algebraic Angles11/17/2008
  Q: Hey, I really need help on this big time. the square root's and everything are really hurting me. if ...
  A: As much as possible, try not to let the roots confuse you. You can see that the ratio of the angles ...
Pemdas11/17/2008
  Q: Ok so i have tried this problem several times and my teacher keeps returning it and he wont tell me ...
  A: Hey Colby, Begin with P: parentheses. Simplify anything within parentheses first. ...
Area - Torus11/14/2008
  Q: 'm stuck on the following question . Please answer this. I know the height needs to be found .but ...
  A: Hey James, If you look at it in 2-D, it's just two circles. One with radius 8, and it has a hole ...
Basic Trigonometry11/11/2008
  Q: So my name is Brittany and I'm a 9th grader at Hoover Highschool in advanced geometry. Right now ...
  A: Hey Brittany! When dealing with right triangles, if you're given the non-right angle, you can find ...
Linear Functions - Graphing11/6/2008
  Q: I have a little trouble with graphing slope. It's not just like y=mx+b, it's a little complicated. A ...
  A: Honestly, convert into the slope-intercept form of the symmetric form before graphing. It's much ...
Similarity - Hexagons11/5/2008
  Q: Can you check the anwser to this question and let me know if it is right or not . If it is not can ...
  A: Begin by finding the scale factor, k. When dealing with areas, in two dimensions, the ratio of the ...
Volume - Hexagonal Prism11/3/2008
  Q: I'm stuck on a question. can you check my answer and if it's wrong can you please give the correct ...
  A: The volume of a prism is calculated by multiplying the base area by the altitude. Begin by finding ...
When You're Behind...11/1/2008
  Q: I started my first geometry class late -third week of class. The terms are foreign to me and the ...
  A: Frankly, get class notes off a friend. Consult the textbook if you have one. Talk to your teacher. ...
Similarity - Car10/31/2008
  Q: i cant figure out this problem at all i must be having a brain freezeif you have a model car that ...
  A: Hey Amber, Divide the 10 cm by the ratio. You'll end up with 120 cm. (The correct answer to this ...
Polyhedra - Surface Areas10/30/2008
  Q: I was given a question on a quick test the other day and had a hard time wrapping my head around it. ...
  A: This question is asking you which solid has a greater surface area. It is the cereal box. Frankly, ...
Various Problems10/29/2008
  Q: Mr Hussain , Can you please check my answers to the questions below.If I have them wrong can you ...
  A: For the first question, begin by finding the area of the full circle, using πr^2. It is ...
Circles - Chord Length10/28/2008
  Q: Mr, Hussain Can you please answer a question for me .I think I know the answer ,however if I get it ...
  A: Draw the full circle, the chord in question, and the full diameter. By definition, diameters bisect ...
Area - Property10/27/2008
  Q: I am a realtor, i need to find out how many square feet there are in a piece of property. the ...
  A: I need to know the exact shape of this property to be able to use these dimensions. The best I can ...
Proofs - Parallel Lines10/27/2008
  Q: How would I write a 2-column proof for this? Given: l perpendicular to n, m perpendicular n Prove: ...
  A: The key to the first one is this: you know that corresponding angles are equal if the lines are ...
Probability - Handshakes10/25/2008
  Q: There are 47 people at a party. Over the course of the evening, various people shake hands. Is it ...
  A: This question's a bit unclear. I would say each person could shake hands with 46 others. I know ...
Angles - Irregular Hexagon10/23/2008
  Q: I'm a single mother and my Child is asking me for help .I'm terrible at math . I wish I can help him ...
  A: Count the number of sides. Use the formula (n-2)180 to find the sum of the interior angles (where n ...
Polyhedra - Axes of Rotation10/23/2008
  Q: What axes of rotation exist for the regular square pyramid? How do you know where to look to ...
  A: A regular square pyramid has a single axis of rotation in the z plane going from the summit to the ...
Supplement of Complement10/17/2008
  Q: What is the measure of the supplement of the complement of an angle with the measure (n-2). if you ...
  A: You know what supplements and complements are, so this is really just a matter of thinking about it, ...
Analytic Geometry10/16/2008
  Q: So I have thisWrite the equation of a line that passes throught the point A(-1,3) and which is ...
  A: You found the slope to be 2. That's right. The y-intercept of the line passing through A, however, ...
Surface Area - Sphere10/15/2008
  Q: I have this problem that is a little difficult. Here it is: the surface area of a sphere is 86 pi ...
  A: Hey Angel, The surface area of a sphere may be calculated by the formula A=4πr^2. The ...
Congruency vs. Equivalence10/14/2008
  Q: I have a tough question to answer, what's the difference in meaning of the words "congruent" and ...
  A: "Congruent" means equal in every way, while "equal" means having the same area or volume. As you ...
Similarity - Surface Areas10/12/2008
  Q: The radius of one sphere is 4 and the radius of a second sphere is 12. How do the surface areas of ...
  A: To begin, you need to find the scale factor, denoted "k." This is the one-dimensional ratio of one ...
Algebraic Perimeter10/8/2008
  Q: Suppose that the length of a rectangle is 3 inches longer than the width and that the perimeter of ...
  A: Call the width of the rectangle x, and the length x+3. Knowing that the perimeter of a rectangle is ...
Segment Addition Postulate (Twice)10/7/2008
  Q: M is the midpoint of of AB and B is the midpoint of AC. draw a figure to repesent the above ...
  A: The diagram would look something like this (count the dashes, not the letters): A--M--B----C ...
Basic Trig - Height of Right Triangle10/7/2008
  Q: I know the base is 100 ft. I know the degrees to the top of the tree (30 degrees). How do I figure ...
  A: Relative to your angle, you have the adjacent side (base) and you need to find the opposite side ...
Calculating Force up an Incline10/6/2008
  Q: I need to know how to calculate the force necessary for a person to push an object up an incline. I ...
  A: The force going down an incline is equal to 9.8 N/kg (acceleration due to gravity) multiplied by the ...
Minimum Pipe Length10/3/2008
  Q: I am studying at secondary school level 3 and I need some help with this question. at least I need ...
  A: I can't give you a numerical answer, but I can situate where the station should be. It should be ...
Surface Area - Round Tube10/2/2008
  Q: I am trying to find out what is the formula for figuring the internal surface area of a tube or ...
  A: A round tube is really just a rectangle rolled up. The height is preserved, but the length becomes ...
Proofs - Concept9/30/2008
  Q: Could you explain the (basic) concepts Proofs. I have to rewrite the conditional statement in the ...
  A: The very basic concept of formal proofs is as follows: you're given a situation and you have to show ...
Lateral Surface Area - Square Pyramid9/28/2008
  Q: what is the formula for lateral surface area of a square pyramid
  A: The formula for the lateral surface area of a square pyramid is as follows: LA=2bl "b" is the ...
Triangle - Height from Area9/27/2008
  Q: i'm trying to figure out the steps to finding the height of a triangle (and I guess the base too). ...
  A: Hey Monique! You probably don't realize it, but the ratio of the length to the base is as important ...
Pre-algebra9/26/2008
  Q: I'm struggling over a mind boggling problem. I've been working on this for 2 days and can't figure ...
  A: I'm assuming the use of brackets is permitted. There are surely numerous solutions. Here are 3 I ...
Proofs - Reflexive and Transitive Properties9/25/2008
  Q: what is the property that says that a variable equals itself and what is the property that says ...
  A: The reflexive property says a variable equals itself (AB=BA). The second one in your question would ...
Proofs - Substitution Property of Equality9/25/2008
  Q: Can I use the Substitution Property of Equality with congruent segments in a proof, or do I have to ...
  A: Provided you have afore-mentioned the congruency between the two line segments, it is not necessary ...
Angles - Supplements and Such9/23/2008
  Q: the measure of an acute angle is equal to the difference between the measure of a supplement of the ...
  A: I've got a method that should help you. Convert this problem from math to English. Let the angle ...
Analytic Geometry - Perimeter9/23/2008
  Q: What is the perimater of this triangle round to the nearest tenth when the vertices of the triangle ...
  A: Solving this problem requires a simple formula applied three times. This is the formula for ...
Complement and Supplement of an Angle9/13/2008
  Q: I learned this in class but its very unclear to me what I am suppose to do. Can you help me with ...
  A: Hey Amber! Let "the angle" equal (x). It's complement will thus be (90-x) and its supplement ...
Area - Rectangle (Quadratic)9/12/2008
  Q: the area of a rectangle is 43cm2 we need to know how to find the length and width? the length is 1cm ...
  A: Hey Jue! Let (x) equal the width. The length will thus be (x+1). Use the formula for area and ...
Segment Addition Postulate - Squared Variable9/10/2008
  Q: How do you solve when the value is squared the basic formula does not seem to work. Example AC=10 ...
  A: The basic formula should still work. I'm assuming B is between A and C. AB+BC=AC ...
Circle to Octagon9/7/2008
  Q: If I have a 30 ft. circle and want to convert it into an octagon, what would be the dimensions of ...
  A: Hey Linda, Seeing that I don't know which dimension is 30 ft., I'll just tell you the procedure. ...
Volume - Irregular Shapes9/3/2008
  Q: How can I find out the volume of oddly shaped objects, like a peanut shell?? ANSWER: Hi John, Use ...
  A: Using the eraser tip of a pencil or something, push the peanut shell down to the point where the ...
Volume - Irregular Shapes9/2/2008
  Q: How can I find out the volume of oddly shaped objects, like a peanut shell??
  A: Use the water displacement method. Pour some water in a graduated container and measure the water ...
Supplements and Complements9/1/2008
  Q: i am now working with supplementary angles and complementary angles, and do not understand it at ...
  A: Firstly, don't panic. Acknowledge that problems such as these are ones you'll have to solve, so ...
Circles - Finding Radius8/28/2008
  Q: Given a chord that intersects a circle and that distance between the intersection points is 11", and ...
  A: You're right, using Euclidean geometry, this was likely done a couple thousand years back. Begin by ...
Functions - Vertical Line Function Test8/28/2008
  Q: how do I find out if it is a function or not??
  A: You need four letters: VFLT. This stands for "vertical line function test." Draw a vertical line ...
Segment Addition Postulate8/27/2008
  Q: I am stuck on this problem and I can figure it out lm=3x+8 mn=2x-5 ln=23 what is the length of each
  A: I'm assuming M is between L and N. If not, then what I'll do will be wrong. In the future, be sure ...
Math question8/26/2008
  Q: How would you do this? The volume of a cube increases by 12.154 cm3 when the length of the sides is ...
  A: Let s equal the length of the initial side. Because we are dealing with a cube, the initial volume ...
Supplements and Complements8/26/2008
  Q: the supplement of an angle is 36 less than twice the supplement of the complement of the angle. Find ...
  A: Read the question carefully and translate the English into math. Let (x) equal "an angle." ...
Isosceles Triangle Proof8/25/2008
  Q: Prove is base angles of a triangle are congruent, then the triangle is isosceles. The given is angle ...
  A: I'm pretty sure I know how this is done, but I need to know specifically what you mean by "bisected ...
Pythagorean Theorem8/22/2008
  Q: Help! my teacher assigned this concept for homework and didn't explain it! i need to find to find ...
  A: Don't worry, this is actually quite straightforward. Draw your line AB. Make a point C at (8,0). ...
Word Problem - Pole Vault8/20/2008
  Q: IF A POLE -VAULTER USES A 15-FOOT-LONG POLE.SHE GRIPS THE POLE SO THAT THE SEGMENT BELOW HER LEFT ...
  A: The segment below her left hand is twice the length of the segment above her left hand. ...
Segment Addition Postulate8/19/2008
  Q: I'm trying to help my son and we can't figure this one out. Let point N be between M and P. Let ...
  A: The segment addition postulate states that the sum of the parts equals the whole. MP=MN+NP. Plug ...
Complementary Angles8/18/2008
  Q: Find an angle such that 4 times it's compliment equals 200
  A: Let "an angle" equal (x). Its complement is thus (90-x). Set up the equation and solve for x. ...
Polygons - Diagonal Problem8/16/2008
  Q: what polygon has a number of sides that is 5 times its number of diagonals?
  A: Let d equal the number of diagonals and n equal the number of sides. In this case, n=5d, d=0.2n. ...
Hyperbola8/13/2008
  Q: Foci (0,0) and (0,10), asymptote is x+y=5 I now how to solve the center and the value of C. How can ...
  A: Firstly, rearrange the asymptote equation into something more manageable. x+y=5 y=-x+5 The ...
Area - Rectangluar Prism8/12/2008
  Q: what is the formula for find this area ANSWER: Hi Rokisha! The total surface area of a rectangular ...
  A: Rokisha, Please specify which area. A rectangular prism has 6 faces, three of which have different ...
Construction8/9/2008
  Q: (In words step by step)I need to know how to use a protractor to draw angle D such that the measure ...
  A: A protractor is a semicircle with the angle measures written on it. You would just have to make ...
Coordinate Geometry - Linear Equations in 2 Variables8/6/2008
  Q: What is the equation of the line that contains the points with coordinates: (-3,7) and (5,-1)? Step ...
  A: Hey Justin, Let's find the equation in the slope-intercept form, y=ax+b. Begin by finding the ...
Algebra - Evaluating Expressions8/6/2008
  Q: trying to help my son. could you please assist me -cde3 C=5 D=1 E=-2 AND -2a2+(b+ac) when ...
  A: Simply substitute the given values into the expression and then do the arithmetic. (I'm assuming ...
Measuring System for Cylinder Gas Tank8/4/2008
  Q: I have a horizontal cylinder gas tank in my boat and it does not have a gas gage. I stick measure ...
  A: If the tank is a true cylinder, then its volume may be solved for using πr^2h, where r is the ...
Construction of a Bridge8/1/2008
  Q: A new bridge is to be constructed over the East River in New York City. The space between the ...
  A: One clarification is necessary. "The height at the center of the arch needs to be 350 feet." Is ...
Liters and Volume7/31/2008
  Q: Can liters be converted into a dimensional factor. For example, can 450 liters be converted into a ...
  A: Hey Bob! Liters cannot be converted strictly into a length, width, or depth because you cannot go ...
Perimeter - Rectangle7/28/2008
  Q: Find the perimeter of a rectangle with width 2(x-y) and length 3(x+y)
  A: The perimeter of a rectangle is calculated by taking twice the sum of the length and width. p=2(l+w) ...
Square Feet7/26/2008
  Q: I have a pool 12ft by 3ft how many square feet is that? ANSWER: Hey Ryan, I'm guessing this pool ...
  A: You know the shape and the dimensions of the pool because you have the full question. I don't. If ...
constructing a rhombus7/25/2008
  Q: How do I construct a rhombus with sides the length of the given line segment (1-inch) and having an ...
  A: Make a right angle and bisect it. You now have a 45-degree angle. Measure out 1" on each of the ...
Surface Areas - Hexagon and Pentagonal Pyramid7/24/2008
  Q: how to find the surface area of a regular hexagon and a pentagonal pyrimid
  A: Hey Ayana! A regular hexagon may be subdivided into 6 congruent equilateral triangles. The ...
Angles with Algebra7/22/2008
  Q: What is the measure of the larger angle of two supplementary angles if two-fifths of the larger ...
  A: Let the large angle equal x. The smaller angle will thus equal 180-x. Translate this question from ...
Prism - Longest Line7/22/2008
  Q: the dimensions of a wooden prism horizontal up and down 5cm and vertical is 9cm . known what is the ...
  A: Given what I can make out from your question, I'd say the largest face is 5 cm by 9 cm. Solve the ...
Bisecting a 60 Degree Angle7/17/2008
  Q: I know this: To draw a 60 degree angle, fix compass on point A and draw an arc intersecting straight ...
  A: Hey Somnath, These arcs of random but equal measure serve as reference points. What is needed to ...
Bisecting a 60 Degree Angle7/17/2008
  Q: I know this: To draw a 60 degree angle, fix compass on point A and draw an arc intersecting straight ...
  A: I don't quite follow the part about the actual bisection. To my understanding, it would not work. ...
Linear Functions7/16/2008
  Q: How do you graph x=3, and how do you graph -19<3x+2<20. but the the greater that signs are all less ...
  A: x=3 is not a function. It has what is known as an "undefined slope." This is really a vertical ...
Area - Sector of a Circle7/16/2008
  Q: I need to calculate the area of a sector within a circle which is less than a semi-circle. Can you ...
  A: Hey Bill, If you were asked to find the area of the sector which represented 1/8 of the circle, ...
Similarity - Calculating Scale Factor7/12/2008
  Q: if the height of a cone is tripled and the radius is doubled, then the volume of the new cone is how ...
  A: Hey Meilani! For the initial cone, let all the parameters equal 1. Put the scale factor, k, on ...
Similarity - Areas7/12/2008
  Q: the perimeters of two similar polygons are 36 and 48. if the area of the larger polygon is 96, what ...
  A: You need to find the scale factor, k. This is the ratio of one-dimensional measurements: side, ...
Ratio - Pyramid7/12/2008
  Q: A regular square pyramid with height 8m is intersected by a plane parallel to the base and 2m above ...
  A: Let the edges of the base equal 1. This will make calculations easier. Find the volumes of the ...
Probability - Darts on a Square Board7/12/2008
  Q: A square dart board 60cm on a side has a sqaure baseball field 40cm on a side and 4 smaller squares ...
  A: Hey Athyna! You are dealing with area, which means 2 dimensions. You must find the fraction of the ...
Problem Solving - Working Backwards7/10/2008
  Q: Larry, lionel and lester painted a fence. Larry painted the first 1/3 of the fence. Lionel painted ...
  A: Let the fence's length equal x. Watch carefully. (1/3)x+(1-1/3)(3/5)x+40=x 1/3 3/5 of the ...
Probability - Darts7/10/2008
  Q: a target has circles with radii of 2cm, 10cm, and 20cm. what is the probability that the dart would ...
  A: A few assumptions have to be made to answer this question. We need to assume there is a 100% chance ...
Ratios - Hexagons7/10/2008
  Q: given: the areas of two regular hexagons are 54 radical 3 and 150 radial 3. what is the ratio of ...
  A: Because we're dealing with 1 dimension in both cases, the ratio of their perimeters is equivalent to ...
Linear Functions - Undefined Slope7/10/2008
  Q: What is the slope of the line that passes through (c, d) and (c, 1/d)?
  A: Hey Casey! Slope equals the difference in y over the difference in x. In this case, there is no ...
Volume - Triangular Pyramid7/8/2008
  Q: I can't seem to find the volume of this pyramid.. A regular triangular pyramid has a height of 12 ...
  A: Hey Rob! This is actually quite tricky. Take a profile view of the pyramid. You will see an ...
Basic Trig - Slide7/7/2008
  Q: A slide has an angle of elevation of 25 degrees. It is 60 feet from the end of the slide to the ...
  A: Basic trigonometry is what you need here. You need the adjacent side and the hypotenuse of the ...
proving a triangle is isoceles7/5/2008
  Q: Azeem,I am in desperate need of help.  I have to prove a triangle is isosceles in a two-column ...
  A: ([justifications will be bracketed] "=" means congruent) In triangle AGC: m<BGE=m<DGE [given] ...
Perimeter - Rectangular Prism7/3/2008
  Q: What is the formula for find the perimeter of a rectangular prism?
  A: Three-dimensional figures don't really have a "perimeter," but two-dimensional figures do. Do you ...
Volume - Cylinder7/3/2008
  Q: i have been asked for my homework to verify that the vol. of a cylinder is pi*r*r*h using modelling ...
  A: I would begin by making the base of the cylinder, whose circular area would be calculated by ...
Supplementary Angles7/1/2008
  Q: Find the measure of the angle whose measure is 40 degrees more than the measureof its supplements.
  A: Let "x" equal your angle. "x+40" thus equals its supplement. Supplementary angles have a sum of ...
Triangles - Congruency6/28/2008
  Q: i do not understand how to get the answers to questions such as this is triangle ABC is congruent to ...
  A: There is insufficient information given to say that the triangles are congruent. I would need a ...
Segment Addition Postulate6/24/2008
  Q: let c be between d and e.use the segment addition postulate to solve for m. dc=6m-21 ce=7m-18 de=65 ...
  A: The segment addition postulate states that the sum of the parts equals the whole. This means that ...
Circles / Coordinate Plane6/24/2008
  Q: What is the method for finding any coordinate pair of the points of a circle, given the radius, ...
  A: Think vectors: the x-coordinate is equal to the magnitude times the cosine of the angle and the ...
Length and Width of a Rectangle6/23/2008
  Q: The length of a rectangle is 2 inches less than twice the width. The diagonal is 5 inches. Find the ...
  A: Hey Peter, "2 inches less than TWICE the width." Here's the proper math: c^2=a^2+b^2 ...
Length and Width of a Rectangle6/21/2008
  Q: The length of a rectangle is 2 inches less than twice the width. The diagonal is 5 inches. Find the ...
  A: Let the width equal (x) and let the length equal (x-2). These two sides are perpendicular to one ...
Angles and Quadratics6/18/2008
  Q: i got this question that i cannot figure out at all Angle ABC is a right angle. Angle ABD is ...
  A: So the sum of both angles is 90. Set up the equation, make it equal zero, and then use the ...
Perimeter of Circles6/16/2008
  Q: i was surfing on the net a few days ago and i found this question. unfortunately the answer for this ...
  A: Here's the way I see it, informally. (r6 is the big radius, d1 through d5 are the smaller radii.) ...
Analytic Geometry - Line Division6/14/2008
  Q: The endpoint of segment AB are : point A (1, -5) point B (9, 11) find the coordinates of the point ...
  A: Firstly, sketch out the situation. Find out which point is higher up (B) and where the division is. ...
Proofs - Tangents6/14/2008
  Q: Prove that tangents to a cirlce at the endpoints of a diameter are parallel.State what is given,what ...
  A: I'm sure there are a few ways to do this, but I'll give you the way I see it. Let's give the circle ...
Area - Equilateral Triangle6/12/2008
  Q: The question is Find the AREA of an equilateral triangle with the perimeter 90 cm. Thanks
  A: Equilateral triangles have 60 degrees per angle. This means that the height of your triangle is ...
Proofs6/8/2008
  Q: I have to proofs that I am unsure how to do. I'll give you everything that the problems have, and ...
  A: Hey Amber, The first proof seems fine to me. As for the second, I don't understand why you've done ...
Supplemements6/8/2008
  Q: The measure of an angle is 8 degrees less than three times the measure of the angle's supplement. ...
  A: To make this more manageable, translate this from math to English. Make "an angle" equal "x." "is" ...
Vertically Opposite Angles6/6/2008
  Q: If 5x degrees and (7x - 12)degrees are the measures for vertical angles formed by two intersecting ...
  A: Vertically opposite angles formed by intersecting lines are equal. Make both angles equal and solve ...
Volume - Cylindrical Tank6/3/2008
  Q: How much water, in gallons, will fit into a cylindrical tank 12" in diameter and 12" in height?
  A: The area of a cylinder is found my multiplying the base area by the height. The base is a circle, ...
Area - Justification for bh/26/3/2008
  Q: Why is the formula for the area of a triangle 1/2bh? Thank you for your help!
  A: This is best seen with two right triangles. If you put two right triangles together, you will see ...
Proofs - Circle6/1/2008
  Q: Given: Segment AC and segment BD are diameters of circle O. Prove: Angle ABD is congruent to Angle ...
  A: For formatting simplicity, "=" means "congruent." The justifications are in [brackets.] In circle ...
Rhombus Areas5/30/2008
  Q: A rhombus has sides of length 10, and its diagonals differ by 4. What is its area?
  A: Let the length of the short diagonal equal (x). The long diagonal will thus equal (x+4). The ...
Polygons5/29/2008
  Q: True or false.. a quadrilateral cannot have exactly 3 angles that are right angles please explain ? ...
  A: This is false. A quadrilateral has 360 degrees of interior angles. If three angles are right, then ...
Percentages - Math Final5/26/2008
  Q: whats the formula for calculating what you need on your final to keep the same letter grade. ...
  A: I'm unfamiliar with letter grades; I only know percentages, so I'll show you how to calculate what ...
Number of Sides in a Polygon5/22/2008
  Q: calculate the sides of a regular polygon whose interior angles are 150 degrees?
  A: I take it you mean the NUMBER OF sides. The sum of the interior angles in a polygon can be ...
Apothem5/22/2008
  Q: can you please helpt me. A petagonal based pyramid has a volume of 2756m^3. Determine the length of ...
  A: I need you to specify which apothem. Are you referring to the non-base edges of the pyramid, or are ...
Product of Odd Numbers5/21/2008
  Q: Find 3 x 5, 13 x 7, 9 x 5, and 123 x 7. Find the product of any two odd numbers. State a ...
  A: The conclusion I draw from this is the following: the product of two odd numbers is always a third ...
Distance Between 2 Points5/21/2008
  Q: what is the approximate length of segment XY if X is located at (-2,5) and Y is located at (4,-10)
  A: This is found by making a right triangle in which XY is the hypotenuse. The length of each leg is ...
Area - Halo5/14/2008
  Q: If I have a 9.5 foot ring that is 2 foot wide how do I figure the square footage? I am lost on this, ...
  A: Imagine if the ring were unfolded. It would be a rectangle whose width were 2 feet and whose length ...
Area - Floor5/8/2008
  Q: what is the area of a floor that measures 6 yards by 14 feet?
  A: I'm assuming this floor is rectangular. You must get all your units to the same thing. Make ...
Conic Sections - Solving for y5/8/2008
  Q: The equation is x(squared)+y(squared)=64. It's a conic equation for a circle and I can't figure out ...
  A: When you graph a circle, you can't solve for y, because a circle is not a function. The best you ...
Area - Goat Tied to Fence5/7/2008
  Q: It's been a while since I've dealt with a geometry-related math problem. And despite being really ...
  A: Hey Livvie, If I gave you a circle's area asked you to find the area of half that circle, you would ...
Complementary Angles5/7/2008
  Q: one angle is 8 times the other. The two angles are complementary. find the measurment of both ...
  A: Let one angle equal x. Consequently, the other equals 8x. If they're complementary, then their sum ...
Area - Goat Tied to Fence5/6/2008
  Q: It's been a while since I've dealt with a geometry-related math problem. And despite being really ...
  A: As I gather, there is a lot of unnecessary information in this problem. This leads me to think that ...
Creating an Arc5/6/2008
  Q: I need to create an arc over a doorway.I know the width and the height.For example the width is 65" ...
  A: Hey Cliff, According to my understanding of the question, you only need the width of the door. ...
Parallelogram - Area5/5/2008
  Q: An acute angle of a parallegram measures 60 degrees , if a base measures 15cm and the other side ...
  A: A parallelogram's area is found by multiplying the base by the height. To find the height, create a ...
Rectangular Yard5/4/2008
  Q: I have a question about measurements which I thought would fall into the category of geometry. My ...
  A: Allow me to begin by stating that in a case like this, it is always a square which will yield the ...
Euclides5/3/2008
  Q: What is Euclid's 5 postulates used for today? And what have they been used for?
  A: #1: A straight line segment can be drawn joining any two points. #2: Any straight line segment can ...
Word Problem - Hunting4/29/2008
  Q: There was nobody available from the word problem area. Any chance you can answer this one. I am ...
  A: This is a bizarre question. I can tell you that if he actually did travel 3 miles South and then 3 ...
Volumes and Surface Areas4/28/2008
  Q: how do i figure out the surface area and volume of prisms... like cylinders pyramids, cones, ...
  A: The volume of any prism is found by multiplying its base area (ba) by its height (h). As for their ...
Similarity - Circle Areas4/28/2008
  Q: The problem is: the scale factor of 2 circles is 3:2. The area of the larger circle is 81pi. Find ...
  A: You need the scale factor, k. This is given in theit is 3/2. k works in one dimension only. You ...
Proof - Right Isosceles4/24/2008
  Q: Draw and label a picture, use a two column proof format with statements and reasons. Given: ...
  A: In triangle PQR, <Q=90 because given <R=45 because given <P=180-90-45=45 because sum of int. angles ...
Trigonometry - Tangent Ratios4/24/2008
  Q: this is more for my girlfriend than it is for me. she is needing help with the following problems at ...
  A: I'm not going to do your girlfriend's homework for her, but I'll tell you some tips that you can ...
Axis of Symmetry4/23/2008
  Q: what is the axis of symmetry?
  A: An axis of symmetry is a line or reflection. If you were to cut the figure in two about that line, ...
Proofs - Corrsponding Parts4/23/2008
  Q: When proving that two (non special) triangles are congruent, how many pairs of corresponding parts ...
  A: Frankly, I don't quite understand your question. Triangles' congruency is proved by side-side-side ...
Adjacent and Vertical Angle Pairs4/20/2008
  Q: I am home schooled and have a question on a problem i have been stuck on for awhile now, and it ...
  A: Hey Drake, Begin by converting the question from English into math. Let's call "the angle" x. ...
Rhombus on a Cartesian Plane4/20/2008
  Q: how can you calculate the coordinates of a rhombus if the only give you the length of the line and 1 ...
  A: I need to know of the rhombus is ABCD or if it's in a different order. Are the equations given ...
Rhombus on a Cartesian Plane4/19/2008
  Q: how can you calculate the coordinates of a rhombus if the only give you the length of the line and 1 ...
  A: This is not really doable. This is because a rhombus has a few variables, and when you put it on a ...
Statistics - Mean4/17/2008
  Q: What is the mean of 81, 76, 94, 81, 79, and 78?
  A: The mean is what most people casually refer to as the "average." It is found by taking the sum of ...
Rhombus - Diagonals4/16/2008
  Q: ABCD is a rhombus. it has two 120 degree angles and two 60 degree angles and all of it's sides equal ...
  A: The sine law can be used to solve for your diagonals. The ratio of the sine of an angle to the ...
Triangle4/15/2008
  Q: One leg of a right triangle is two inches more than twice the other leg. The hypotenuse is 13 ...
  A: Use the Pythagorean Theorem, c^2=a^2+b^2. Let's make a=x, and b=x+2. c=13, as indicated by the ...
Sine Equations4/14/2008
  Q: solve the following equation algebraically for all the values of theta in the interval 0<theta<180. ...
  A: For formatting's sake, let's use "x" instead of "theta." Now, get all the numbers on one side. ...
Trigonometry - Lengths from Angles4/11/2008
  Q: I'm not a student, however my inability to navigate the web led me here for with my questions, ...
  A: Draw a sketch and label your triangle. Make your angles <A, <B, and <C. Make the sides opposite ...
Extra Credit Impossible Problem4/11/2008
  Q: Let P be any point in the interior of rectangle ABCD. Four triangles are formed by joining P to each ...
  A: I began by drawing the diagram, evidently. I also added points W, X, Y, and Z. Each of these ...
Algebraic Comparison4/8/2008
  Q: For what positive number is the square root of the number the same as the number divided by 40 ?
  A: Let's call "the number" x. Let's now put x in an equation. Convert the language from English to ...
Surface Area - Pyramids4/7/2008
  Q: all, right. so i've asked for your help before and you helped me loads. think you can try again? ...
  A: Hey Keli! This is actually not that easy. I don't know what is meant by "length," but luckily it ...
Parallelogram's Points4/6/2008
  Q: a paralleogram has coordinates PQRS P(-3,-1) Q(0,a) R ( 7,11) S(c,b) determine the value of a+b+c
  A: Firstly, make a sketch of the problem. To prevent complications, let's not rotate the ...
Lateral Area4/4/2008
  Q: im getting a bit confused. im in geometry and working with lateral area. my formula sheet says that ...
  A: Don't panic, I can help you. LA only equals height times BASE perimeter in prisms. Because this is ...
Pythagorean Geometry4/4/2008
  Q: Okay, so the proof on the website below is getting me quite frustrated. I read and tried what their ...
  A: Although this proof is very poorly explained, it is the way the Pythagorean Theorem is derived. I ...
Triangular Prism Lateral Area Formula3/31/2008
  Q: All i really need is the formula for finding the lateral area of a triangular prism.
  A: I'll use height (h), width (w), and depth (d). a=3dw+hw You have 3 rectangular sides which explains ...
Octagon's Area3/30/2008
  Q: if, a regular octagon has all of its vertices on circle with a radius of 2m, work out the octagon's ...
  A: Hey Katie, May answer was 8 times the square root of two, which is roughly equal to 11.31 metres ...
Group Average3/30/2008
  Q: what is the best way to figure out the length of a diagonal line across a rectangle? can you give me ...
  A: Allow me to begin by pointing out that this is not a follow-up, it is a separate question. In the ...
Definitions - Midpoint3/27/2008
  Q: What's symmetric property of congruence And definition of midpoint
  A: The symmetric property states that things that are equal to each other are also equal to the reverse ...
Octagon's Area3/27/2008
  Q: if, a regular octagon has all of its vertices on circle with a radius of 2m, work out the octagon's ...
  A: You've got the right idea, although it would be easier if you divided the octagon into 16 right ...
Construction - "15 Degree Triangle"3/25/2008
  Q: How can I construct a 15 degrees triangle using a compass
  A: This question's a bit vague, so I'll fly over the answer. Essentially, create a 60 degree angle the ...
Similarity - Radii3/24/2008
  Q: If the radius of a circle is made one-fifth as long as the original radius, what fraction of the ...
  A: This is a similarity problem which requires you to find the scale factor, k. k is equal to the new ...
Triangles3/21/2008
  Q: i do not have an example to provide but my question was do you use the pythagorean theorum to find ...
  A: The Pythagorean Theorem only works for right triangles. However, it is a simplified form of the ...
Tank Circumference3/20/2008
  Q: I am an oil field worker and college was too many years ago to recall. I would like to find a ...
  A: Hey Mark! You need to find the circumference of a cylinder. The formula for the situation here is ...
Biconditional Statement3/20/2008
  Q: is a biconditional statement a statement that can be both true and false
  A: A statement that can be both true and false is of absolutely no use to you. A biconditional ...
Dechlorinator3/19/2008
  Q: I bought an inexpensive dechlorinator for my aquariums. All it says on the back is: 1.207 grams ...
  A: Let's get a few things straight. Grams are a measure of mass; teaspoons are a measure of volume. ...
Diagonal of a Rectangle3/18/2008
  Q: what is the best way to figure out the length of a diagonal line across a rectangle? can you give me ...
  A: I'm going to assume you are given both the length and width of the rectangle. (You need either both ...
Depth of Lake Function3/13/2008
  Q: An artificial lake is 1.5m deep at the end of a dock.The lake gets 1.75m deeper every 10m from the ...
  A: Create a simple partial variation function in the form y=ax+b. Let y=the depth of the lake, a=the ...
Sq. Footage in a Circle3/10/2008
  Q: If I have a circle 75.60 ft. across, how many square feet would the circle contain?
  A: The area of a circle is measured by multiplying pi by the square of the circle's radius. The ...
Angle Construction3/10/2008
  Q: lesson plan for teaching construction of 60 and 90 degrees angles
  A: To construct a 90 degree angle, first draw a line. Next, put your compass on that line and draw a ...
Golden Ratio3/9/2008
  Q: .. so would you mind send me some refrnces to go and find my question thanks,sanaz
  A: I remember my project on this stuff. Honestly, just Google "golden ratio application" or "uses of ...
Area of Irregular Shapes3/9/2008
  Q: i have a question. How to find the area of a irregular pattern or shape? Please reply.
  A: What is an irregular pattern? If it's irregular, wouldn't it not be a pattern? You need to ...
Diagonals of Kites3/9/2008
  Q: Im trying to find the longest diagonal of a kite, being given the lengths of the 2 sides and no ...
  A: This is actually a pretty awesome question once you figure out how to solve it. The longest ...
Triangle Definition3/8/2008
  Q: 3.02] An equiangular triangle is defined as which of the following? A triangle containing three ...
  A: I know these are homework questions and you shouldn't be asking them and I shouldn't be answering ...
Rectangle from Diagonal3/2/2008
  Q: Were to start, well the reason for this question is that I use autocad, I am trying to write a lisp ...
  A: By "creating the rectangle" are you referring to the mathematics, or the programming? The ...
Rhombus' Angle Measures2/24/2008
  Q: A rhombus has diagonals of length 4 and 10. Find the measures of the angles of the rhombus to the ...
  A: Break this rhombus down into 4 right triangles about in which half the diagonals are legs. This ...
Angle Addition Postulate With Variables2/23/2008
  Q: I know how to do angle addition postulates with numbers but I need some help when trying to figure ...
  A: Hey there Shelby! Find which angle is the biggest. Let's say that its <CBD in this case. This ...
Surface area of Pyramids2/22/2008
  Q: Allright this may seem stupid but i just can;t seem to grasp the surface area concept...especially ...
  A: Don't worry. The area all the triangles in the pyramid is found to be sln/2. The slant height is ...
Volume of a displaced sphere...2/20/2008
  Q: Not sure if this is geometry or not... Let's say you have a perfect sphere and drop it into water. ...
  A: This question requires you to compare surface area to volume. This means comparing two dimensions ...
Octagon Help2/15/2008
  Q: I am currently working on wood working project a flower vase and I am hoping that you can help me. ...
  A: Each angle of your octagon will be 135 degrees. This is found by the formula int. < =((n-2)180)/n. ...
Slopes2/13/2008
  Q: my son has a slope homework....Here is the description... The points given in each table lie on a ...
  A: Great attempt, but your explanation is not crystal-clear to me. I'll help you to the best of my ...
Algebraic Equation2/6/2008
  Q: what is 16y=164
  A: You must solve for "y" by isolating it. That means getting it alone. To do so, you must divide it ...
Circle - Radius from Circumference1/30/2008
  Q: if a circle has a circumference of 8 how can I find the radius of the circle
  A: The circumference of a circle is calculated by c=2πr. Plug in 8 and solve for r. c=2πr ...
Proofs - Parallelogram1/28/2008
  Q: write in a two column proof: Given: wx is parallel to zy; wz is parallel to xy Prove: angle w is ...
  A: Statements are on left, justifications are bracketed; "//" means "parallel." In quadrilateral WXYZ: ...
Isosceles Triangle - Angle Bisections1/25/2008
  Q: Prove that the bisectors of the angles of base of an isosceles triangle intersect each other on its ...
  A: The bisectors of the base angles of an isosceles triangle intersect each other on ONE of its ...
Apothems1/23/2008
  Q: How do you find the apothem of a regular polygon something like a hexagon?
  A: Hey Gary! The apothem is the distance from the centre to the middle of a line segment. This can be ...
Geometry - Complement of an Angle1/21/2008
  Q: S.) and thanks in advance for your help. As a teacher, I'm filling in for low-level math and need a ...
  A: A system of equations will allow you to solve this. Firstly, let's designate "1 angle" as "x" and ...
Pentagon Angles1/19/2008
  Q: i have a pentagon with 3 right angles. i am trying to figure out the degree of the other 2 angles. ...
  A: James, Please send me a diagram or clarify your question. I only have four side measurements, and ...
Parallelogram - Definition1/14/2008
  Q: what is a parallelogram
  A: A parallelogram is a quadrilateral (four-sided polygon) whose opposite sides and angles are equal ...
Analytical Geometry - Line Division1/13/2008
  Q: Given three points A(0,2) B(4,6) and C(3,0). P is a point on AB such that AP:PB= x:1 a) find the ...
  A: Hey Ginger! Given the level of complexity of this problem, I'll tell you how to do it now, and you ...
Geometry - Proof1/12/2008
  Q: Prove that 2 angles that are supplemental to a third, are congruent to each other. And I'm not ...
  A: To be completely honest, I don't exactly understand the situation as you have described it. The "2 ...
Square Meters Versus Square Feet1/9/2008
  Q: How many square feet are there in 100 square meter?
  A: Hey Jerry, There are approximately 3.28 feet in a metre. Because we are dealing with area, in 2 ...
Trig Question1/4/2008
  Q: I barely remember my high school trig from 20 years ago. Finally, I need it for a project :) In a ...
  A: This is a tough one. The law of cosines is necessary to solve it, as well as a system of equations. ...
Converting Square Centimetres to Square Feet12/30/2007
  Q: Please could you assite me, its been over 15year since i did my last conversion. I have created a ...
  A: A foot is equivalent to 30.48 centimetres. Therefore, you have to multiply 10 000 by 30.48 to give ...
Tank Capacity12/27/2007
  Q: I found a 30" x 90" cylinder tank in my backyard. what is the fluid capacity. thanks ...
  A: Hey Anthony, The formula for finding the volume of a cylinder is 2πhr^2. I'll have to assume ...
Locus - Fence12/16/2007
  Q: a map shows that a treasure is located 5 feet from a long straight fence, and also 8 feet from a ...
  A: I can't actually draw you a diagram here, but assuming the gate has SOME width, I can tell you how ...
ASA Postulate12/12/2007
  Q: I have a rhombus with a transversal through it diagonally and the top and bottom lines have parallel ...
  A: Hey Janet, The ASA Postulate may be used. Rhombi, by definition, have 4 sides of equal measure. ...
Duplicate Questions12/11/2007
  Q: I dont know how t study and learn how to do it. i need some study tips.. I'm having a hard time ...
  A: Trisha, Please don't send duplicate questions to experts. I'm going to assume this was an Internet ...
Studying Geometry12/11/2007
  Q: I dont know how t study and learn how to do it. i need some study tips.. I'm having a hard time ...
  A: Take what you've learned in class and condense it into a few equations, formulae, theorems, and ...
Geometry for an Accountant12/5/2007
  Q: Can you please tell me what kind of Geometry does an accountant use and do a problem how they use ...
  A: An accountant would use a logarithmic function to determine something exponential, such as an ...
Rate of Water12/2/2007
  Q: water flows in a 400mm diameter drain to a depth of 120mm at a speed of 200mm/sec.calculate the rate ...
  A: I need to make several assumptions in order to interpret this question and answer it. This drain ...
Locus and Equations of Lines11/30/2007
  Q: describe the locus of points equidistant from the points F(-2, 1) and G(6,3) and give the equation ...
  A: This is on a plane, right? First, figure out what the locus will look like. It will be a line ...
Parallelograms - Planes11/29/2007
  Q: Why is it that when planes are drawn as diagrams that they are always drawn as parallelograms? ...
  A: Azza, I must say that my response will be no better than your teacher's. Furthermore, I also don't ...
Parallelogram11/27/2007
  Q: State the principal defintion or theorem that enables you to deduce, from the information given, ...
  A: Something is wrong here. How does <SQR exist, and how is it congruent to <QPS? You meant <SRQ, ...
Perimeter - Parallelogram11/26/2007
  Q: The perimeter of parrellelogram JKLM is 46cm, and JK is 1cm longer than JM. find JK and JM.
  A: Let (JM=x). This way, we know that (JK=x+1), right? To find the perimeter, we need to add all four ...
Ellipse - Eccentricity of 111/25/2007
  Q: I am Mohammed Babaee, an Expert in Windows Mobile Devices at AllExperts. I have oneHow can we prove ...
  A: I would use logic to show this. If e=0, then the ellipse is really a circle, for both foci are ...
Circle - Debate11/22/2007
  Q: I am in the midst of a geometry debate, I submit in my argument that a circle does not necessarily ...
  A: I totally agree with your perspective. Although a sphere has a radius, it is not based on a circle ...
Algebraic Angles11/21/2007
  Q: I am having a hard time figuring out this question, I hope you can help me. :)In ABC, M<BAC=5x+8, ...
  A: Hey Elizabeth! You know that the sum of the interior angles in a triangle is 180 degrees. ...
Analytical Geometry - Midpoint11/18/2007
  Q: I have having trouble on a few answers. Q1:Find the coordinates of the midpoint of a segment that ...
  A: Hey Emily! You're right for Q1, but you've made a tiny mistake. 5+(-3)=2, not -2. The midpoint's ...
Analytical Geometry - Perpendicular11/17/2007
  Q: How do you find the y-intercept of a perpendicular line? I already know how to find the slope. For ...
  A: You need a point on this perpendicular line to find the y-intercept. You know the slope is the ...
Lateral Area of a Rectangular Prism11/16/2007
  Q: Find the lateral area of a rectangular solid with length 10, width 6, and height 4? What is the ...
  A: l=10 w=6 h=4 la=lateral area By "rectangular solid," I take it you mean rectangular prism. The ...
Rhombus' Diagonal11/12/2007
  Q: A rhombus has an angle of 120*, and its longer diagonal has a length of 12 centimeters. Find the ...
  A: Rhombus' diagonals intersect at a right angle. Knowing this, basic trig will guide you to the ...
Triangles11/10/2007
  Q: sir, could you tell me how many triangles can be drawn by joining 7 non collinear points? ...
  A: Hey Akshaya! I've done this and I get 15 triangles. If duplicates and triplicates are included, ...
Analytical Geometry - Isosceles Triangle11/9/2007
  Q: for the isoscles triangle with vertices A(-6,-1), B(5,5) and C(11,-6) determine the following 1. ...
  A: Hey Will, I'll tell you how to do this: 1. Graph the triangle. This can be done visually, but if ...
Perpendicular Bisectors and Altitudes11/8/2007
  Q: I am having troubles solving some questions in regard to altitudes and perpendicular bisectors, I am ...
  A: Question 5 can be answered quite simply using the segment addition postulate. RX=RS+SX ...
Geometry - Rhombus11/7/2007
  Q: I am a a hard time figuring out this problem, here's the problem: Find the value of x,y, and each ...
  A: Hey Lizzie! Let's begin with the angle measurements. One property of a rhombus is that its ...
Reflection Upon a Line11/6/2007
  Q: Find the image of the points K(5,-2) and L(-10, 4) reflected in the line y=2/3x +6 Would I start ...
  A: Draw this out on graph paper to find the actual coordinates of the image points. From that, notice ...
Substitution Postulate11/2/2007
  Q: i have a problem distinguishing segment addition postulate and the substitution postulate. the two ...
  A: Hey Nikko! The substitution postulate tells us that a quantity and its equal(s) are interchangeable ...
Length of a Median10/30/2007
  Q: How to prove that in a triangle, length of the median to the smallest side is larger than the length ...
  A: Draw them both and measure them. At any rate, the median hitting the smallest side must be the ...
Proofs - Circle10/30/2007
  Q: Hey, Ok. this is kind of long to start out with. Start by drawing a line segment g. From those ...
  A: Hey Elizabeth, The most logical way I see this is that the side measuring root h is a radius. This ...
Analytical Geometry - Functional and Standard Forms10/28/2007
  Q: find an equation of the line passing through the given points. (a) write the equation in ...
  A: First, find the slope: a: a=ΔY/ΔX a=((-5)-(1))/((3)-(6)) a=-6/-3 a=2 Now for the ...
Equivalent Ratios10/28/2007
  Q: ) I am a little confused about how to go about answering this problem... One of the numbers from ...
  A: Hey Janine, We need to find a common denominator. Alternatively, we could just figure out the ...
Transformational Geometry for Real10/27/2007
  Q: need to illustrate one exampl eof each reflection, translation, rotation and glide reflection to a ...
  A: Shooting the puck around the boards behind the net would be a rotation. Shooting the puck off the ...
Applications of Geometry10/27/2007
  Q: I would like to know the applications of geometry in real life ? Where all do we use geometry in ...
  A: Geometry is really all around us and has virtually infinite real life applications. Perhaps you ...
Squares10/27/2007
  Q: Can you help me, I am having difficulty? If the perimeter of a square is 152 m. What is the area of ...
  A: Hey Janine! By definition, a square has four equal sides. To find the length of one side of a ...
Third Angle Theorem10/26/2007
  Q: How do I prove the third angle theorum?
  A: Hey Carol! The sum of all the angle measures in a triangle (in 2-D at least) is 180 degrees. If ...
Dividends - Multiples of 310/24/2007
  Q: why is a number that is divisble by a multiple of 3 also divisible by 3
  A: This question almost answers itself if you think about it. 3 is a factor of many numbers. For this ...
Circle Definitions10/23/2007
  Q: am i right or wrong here. the question is what is the radius of a 48 inch circle? is there enough ...
  A: Luke, Generally, when one names a circle by one-dimensional measurement, it is the diameter to ...
Co-ordinate Geometry - Parallelogram10/22/2007
  Q: I need the answer of the following question. If possible reply with details. If the equations of ...
  A: The 4 equations you have given me are coincident: they are all the same line. There is no ...
Locus10/22/2007
  Q: IN SPACE WHAT IS THE LOCUS OF POINTS EQUIDISTANT FROM THE VERTICES OF A SQUARE?
  A: Hey Sarah, I'd say it would be the summit of a pyramid whose base vertices are formed by those of ...
Ratios as Percentages10/14/2007
  Q: I need your help! I can't figure out how to determine comparison ratios. Can you tell me (step by ...
  A: By definition percent means "for every one hundred." The symbol is thus a 1 with a 0 in either ...
Point (x,y) in a Closed Figure10/9/2007
  Q: Given a closed figure, or irregular ploygon, defined by points (X1,Y1) ... (Xn,Yn) - (X1,Y1) How do ...
  A: I'm sorry to say, but I don't fully understand your question. I gather you mean given the points of ...
Tessellation10/6/2007
  Q: what is a Tessellation
  A: Andrew, A tessellation is a collection of two-dimensional figures that fill a plane completely, ...
Complements and Supplements10/6/2007
  Q: The question says, "Find the measures of a complement and a supplement of the andle." Then it has ...
  A: The complement of the angle equals (90-x) while the supplement equals (180-x), where (x) is the ...
Area from Algebraic Perimeter10/6/2007
  Q: A rectangle has a perimeter of 200 and a width of x, what is the area.
  A: If the rectangle's perimeter is 200, then half its perimeter is 100. Half its perimeter equals the ...
Impossible Triangle10/5/2007
  Q: I am building a roof over my front porch. To make a long question short, I have a triangle ...
  A: Hey Trevor, A triangle with those dimensions may not exist because the sum of the 2 shorter sides ...
Similarity Transformations10/4/2007
  Q: A cross section of the leg of a dinosaur is a circle with a radius of 6 cm. What should the radius ...
  A: Logically, a dinosaur twice as tall would be much more voluminous. This is because (k=scale factor) ...
Hexagon in a Circle10/3/2007
  Q: Im in calculus class and am having trouble answering this question finding the area of a regular ...
  A: Trigonometry and a formula you may or may not have learned make this problem decently quick to ...
Balloon Volumes10/2/2007
  Q: How many regular balloons (6” diameter) will be needed to fill a large plastic bubble (5’5” ...
  A: Hey Carl, Given how I've been taught, I found each volume using (4/3)(pi)r^3. Nonetheless, I end ...
Proofs10/2/2007
  Q: I just don't understand how 2 do it?? HELP!! Given:angle 6 is congruent to angle7 Prove: Angle5 is ...
  A: Tsunami, I hate to disappoint you, but I don't have the diagram as you do. I'm thus unable to ...
Polyhedron - Cone10/2/2007
  Q: Is a circular cone a polyhedron?
  A: Cheyenne! What is a polyhedron? Basically, it's a 3-D figure which has faces made up of polygons. ...
Triangle's Angles9/29/2007
  Q: in a triangle ABC,P is the point on BC such that it trisects BC. also Ap bisects angle BAC,bac=60. ...
  A: pnd, By drawing a scale diagram, angle APC is found to equal about 126 degrees. Seeing that even ...
Proofs, Postulates, and Properties9/28/2007
  Q: I have this worksheet and do not get some problems. This what, this question in particular, says: ...
  A: The first two are undeniably given. Your teacher's answer key (or reasoning) is wrong. JK is ...
Algebraic Equations9/27/2007
  Q: how do you do this, and what is the answer: 1/5(a+10)=-3 and t+6.5=3t-1.3 ???
  A: In algebraic equations, moving anything across the equals sign changes its sign. REMEMBER THIS! ...
Triangle's Angles9/27/2007
  Q: in a triangle ABC,P is the point on BC such that it trisects BC. also Ap bisects angle BAC,bac=60. ...
  A: I do not understand the problem as you have given it to me. "P is the point on BC such that it ...
Algebraic Angles9/27/2007
  Q: please help on this problem: how would i solve: angle w is equal to angle z, where the measure of ...
  A: Hey Ashton, This question gives you an algebraic equation with the variable on both sides of the ...
Segment Add. Postulate Again!9/26/2007
  Q: ..you went step by step which made it easy for me for AC=4/5CB and AB=27 Find CB but you came up ...
  A: I agree with you in that my method seems easier. From what I gather, I've done nothing wrong, other ...
Segment Addition Postulate9/25/2007
  Q: I'm trying to help my daughter with her Geometry homework but I'm learning with her at the same time ...
  A: Firstly, the segment addtition postulate states that the sum of the parts equals the whole (I ...
Algebraic Equation9/25/2007
  Q: how do I solve this equation? 6-5(2x-3)=4x+7
  A: First, simplify each side of the equals sign as much as possible. On the left, multiply (2x) and ...
Similarity - Areas9/25/2007
  Q: If two polygons are similar their perimeters will have the same ratio as their corresponding sides. ...
  A: Hey Courtney, The ratio of their areas will be the square of the ratio of their sides. Why? ...
Word Problem - Clock9/24/2007
  Q: if we follow the hour and minute hands of a clock for 24 hours how many times will they form a right ...
  A: To be honest, a proper answer to this question depends on the mechanics of the clock. My reasoning ...
Segment and Angle Addition Postulates9/23/2007
  Q: what is the difference between the segment addition postulate and the angle addition postulate? what ...
  A: Questioner Steven asked about the addition postulate before, so browse through my past answers for ...
Geometry - Prism Volume9/22/2007
  Q: if a cube shaped box is 6 inches long and a rectangular box is 10 inches long 4 inches high and 4 ...
  A: First, find the volume of the cube. Vcube=s^3 Vcube=6^3 Vcube=216 Now, find the volume of the ...
Geometry - Segment Addition Postulate9/20/2007
  Q: I have a test tomorrow over this stuff and its quite confusing. If you could first help me with a ...
  A: these are kinda tough. Firstly, the Segment Addition Postulate simply means that the sum of the ...
Geometry - Midpoint9/20/2007
  Q: i have a question about segments on a sketch Here is aGiven one endpoint A, and midpoint M, find ...
  A: Don't worry about getting stumped on this question. Working backwards with the midpoint formula ...
Special Parallelograms9/20/2007
  Q: which of these statements is not true about a parallelogram? A)opposite angles are congruent ...
  A: Hey Richard, A), B), and C) are definitely correct. I'm assuming by D) you mean consecutive ANGLES ...
Algebraic Perimeter - Carpet9/20/2007
  Q: the perimeter of a rectangular carpet is 70 feet.he width is three-fourth the length. find the ...
  A: I'm honoured to be able to help you. The carpet's perimeter is 70 feet, with a width 3/4 the ...
Volume9/19/2007
  Q: I have a 60 gallon tank, its 1'-6" wide and 2'-8" tall. I need to know how long to make the other ...
  A: Hey there, Mandy. To answer this question, I must surmise that you are referring to a U.S. liquid ...
Geometry, complements9/18/2007
  Q: Three times the measure of an angle is twice that of its complement. What is the angle?
  A: it's a pleasure to help you. First things first, translate the problem from English into ...
Geometry - Mandala Logos9/17/2007
  Q: IN Lesson0.5: What corporate disgns or logos are also mandala?
  A: Well, I'm don't have very much experience with mandala, but a few TV network logos are instances of ...

All Questions in This Category

Geometry

All Answers


Answers by Expert:


Ask Experts

Volunteer


Azeem Hussain

Top Expert on this page

Expertise

I can answer mostly any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry.

Experience

Drop-in tutor at Champlain College since 2010. I am neither a professor nor a teacher of this subject. I am merely a student who is good at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.

Education/Credentials
Presently enrolled in Materials Engineering at McGill University. Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert. Diploma of Secondary Studies from Chambly Academy High School. Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.

©2012 About.com, a part of The New York Times Company. All rights reserved.