Questions on Geometry: Geometric formulas answered by real tutors!

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Question 149518: Charlie built a treasure box. Lucy build a treasure box with dimensions twice as large as Charlie's. If it takes one-half gallon of paint to vover the surface of Charlie's box, how many gallons of paint would it take to paint Lucy's box? How many times more volume will Lucy's box hold than Charlie's?

Click here to see answer by jim_thompson5910(35256)

Question 149520: The corresponding edges of two similar triangular prisms are in the ratio 3:5. What is the ratio of their surface areas? What is the ratio of their volumes?

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Question 149521: The surface areas of two cubes are in the ratio of 49:81. If the volume of the smaller cube is 20, what is the volume of the larger cube?

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Question 149699: The vectors (8,0) and (3,4) form a paralellogram. Find the lengths of its altitudes. I don't know how to generate the algebraic equations to solve this one.
Click here to see answer by jim_thompson5910(35256)

Question 149700: The parallel sides of a trapezoid are 12" and 18" long. The non-parallel sides meet when one is extended 9" and the other is extended 16". How long are the non-parallel sides of this trapezoid.
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Question 149701: The dimensions of rectangle ABCD are AB=12 and BC=16. Point P is marked on side BC so that BP=5, and the intersection of AP and BD is called T. Find the lengths of the four segments TA, TP, TB, and TD.

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Question 149702: The altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into two segments, whose lengths are 8" and 18". How long is the altitude?

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Question 149703: Find coordinates for the centroid of the triangle whose vertices are (a) (-1,5), (-2,8) and (3,3); b) (2,7),(8,1) and (14,11); (c) (a,p), (b,q) and (c,r).
Click here to see answer by jim_thompson5910(35256)

Question 150483: A roof is shaped like a rectangle with a length that is twice the width and an area of 1800 sq ft. What is the lenght, width and perimeter of the roof?
Click here to see answer by rajagopalan(174)

Question 152121: find the diameter of a circle if the radius has the value given r=33in.
Click here to see answer by vleith(2983)

Question 152917: This problem was given by the instructor in a seperate workbook & is not in my book. I take this class via Distance Learning at UGA, so I don't really see a teacher.
"A closed rectangular box with a surface area of 28 sq. inches is to be designed. The design of the box requires that the length of the box is 2 times the width, and the depth must be 4 inches. Find the length and width of the box."
I have tried to fit this into the formula for surface area, but I just can't figure this out.
Click here to see answer by scott8148(6628)

Question 152979: derive the formula of the following:
1. rectagular prism
2. triangular prism
3. cylindrical prism
4. pyramid
Click here to see answer by Fombitz(32388)

Question 153146: The Fibonacci sequence consists of the pattern 1,1,2,3,5,8,13...
What is the ninth term in the pattern?
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Question 153974: We need to figure out the surface area of a room so we can figure out how much paint to use and howmuch is it going to cost
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Question 154402: I need to find the surface area of a christmas tree I made for my summer project. The cone shape is 22 inches tall and has a diameter of 7.5 inches. There is also a base for the cone shape. I also have a cylinder shape for the tree trunk wich is 3 inches in diameter and 5 inches in height. Please show me the calculations. I am using 2TTR(R+H) for both shapes but I do not think it is right and then I am not sure how to do the base of the cone.
Click here to see answer by ankor@dixie-net.com(22740)

Question 155127: The state of colorado is almost perfectly rectangular with it's north border 111 miles longer than it's west border. If the state encompasses 104,000 square miles, estimate the dimensions of colorado. Round your anwser to the nearest mile.
I was thinking that the equation was x times (x+11)=104,000 but i couldn't figure it out.
Click here to see answer by stanbon(75887)

Question 155446: How do you begin solving a problem like this --
1. A room measures 20' by 30' by 9' (length x width x height).
2. How many boxes measuring 18 inches x 24 inches by 12 inches will fit in the room?
Click here to see answer by jim_thompson5910(35256)

Question 155963: how to write these word problems into numbers?
1)two hundred seventeen thousand,eight
2)one hundred thousand,fifty-nine
3)nineteen hundred
Click here to see answer by Alan3354(69443)

Question 141787: A circle centered at the point of origin has a radius of 10. If the point (10,0) is rotated 120 degrees counter-clockwise, determine the coordinates of the new point in exact radical form.
Click here to see answer by Alan3354(69443)

Question 156678: What is the radius of a sphere with a volume of 113.1 in.
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Question 156958: Write a rule for the nth term of the geometric sequence:
a3=180,a6=38,880
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Question 157294: Find the radius of a cylinder with a height of 8 cm and a surface area of 96(pi)cm^2.
Click here to see answer by jojo14344(1513)

Question 157878: 9x + 45 = 3x -15
Click here to see answer by jim_thompson5910(35256)

Question 157889: Find the area under the normal distribution curve to the right of z = �1.03.
Can you explain this for me?
Click here to see answer by Fombitz(32388)

Question 158186: Can you help me figure this out. I am trying to help my daughter learn some of this and have lost most of what I learned.
The coordinates of A, B, C, D are 8, -9, 17 and -14 respectively. Determine AB, BC, CD, and AD.
Click here to see answer by gonzo(654)

Question 158370: what is converse?
Click here to see answer by MathLover1(20850)

Question 158756: I know the formulas for finding the surface area of a sphere and the volume of a sphere. I need to use these formulas to find out the algebraic formula for the ratio of a sphere's surface area to its volume AND show logical steps on how I got it.
Click here to see answer by scott8148(6628)

Question 158809: Hi,
My question is about finding a measure in simplest form. I have to use the distance formula. The coordinates are (-5,3) and (3,4. The answer I got for that question was 65. Now I have to simplify the answer and I'm not sure what to do.
Thank You
Click here to see answer by checkley77(12844)

Question 159125: Im having a brain fart. Im trying to solve 3+9+27+..., find S10
tn=3+(10-1)(is 3 to power of 3?) I can't remember the rule for multiplying.Please help!
t10=12(?)
t10=
s10= [n(t1+tn)/2]

Click here to see answer by Alan3354(69443)

Question 159312: Need help on the following problem please?
problem:
determine which variable you will substitute for and rewrite as an equation using one variable?
x + y =6
2x - 3y =9
Click here to see answer by gonzo(654)

Question 159400: What is the formula to find out what the some of all of the interior angles in a non regular pentagon?
Click here to see answer by vleith(2983)

Question 159513: 2
for the function f(x)=3x - 2x + 5, find f(1), f(-2) and f(a).
Click here to see answer by jim_thompson5910(35256)

Question 160470: Write the equation of a parallel line to y=16x-14 going through (2,-2).
Click here to see answer by checkley77(12844)

Question 161357: useing a mid-point formula Line AB is located (-5,0) and (-1,3).what slope is
a) 4/3
b) 2/4
c) 3/4
d) 4/2
Click here to see answer by checkley77(12844)

Question 161674: 1) there is a circle with a 24" diameter.
2) There is a line drawn across the circle six inches from the bottom.
3) What is the area under the line?
4) figure this problem out without using the formula to find the area under a curve.
5 Good luck!
Click here to see answer by gonzo(654)

Question 161749: My husband and I are building a semi-circular wall in our landscaping. We have 12x12 inch blocks that we need to cut in order to place them on top of the wall. If the radius of our semi-circle is 78 and 5/16 inches at what angle should we cut each of our blocks to form the semi-circle?
Click here to see answer by scott8148(6628)

Question 162344: i need to solve the equation: y1-y2/x1-x2 in terms of y1
Click here to see answer by Alan3354(69443)

Question 162533: The length of a rectangle is 4 times the width. The perimeter of the rectangle is 120. What are the length and width of the rectangle?
Click here to see answer by checkley77(12844)

Question 163219: In the problem I'm working on, I have to draw a scalene triangle with set side lengths, but the book doesn't tell me the angle measures, which would make the problem a lot easier. We haven't learned a formula to calculate angles from side lengths in class yet, so I'm wondering if you know, because I've encountered problems like this before, and wondered if there's an easier way. Thanks for your help!
Click here to see answer by scott8148(6628)

Question 163915: find the volume of a frustum of a cone with bases of radii 5cm and 19cm. The height of this frustum is 6cm.
Click here to see answer by orca(409)

Question 164005: Prove that the area of a circular sector of radius r with central angle theta is , where theta is measured in radians.
The following is what I've come up with so far, am I on the right track?
I can tell that a circular sector looks similar to a triangle with an arc replacing its flat base. The area of a triangle is computed using A=1/2bh. Therefore:
h=r
b=s=r(theta)
A=(1/2)rr(theta) which is simplified to
Click here to see answer by Alan3354(69443)

Question 164311: The width of a rectangle is 22 centimeters shorter that its length. The perimiter of the rectangular is 160. find its length.
Click here to see answer by algebrapro18(249)

Question 164311: The width of a rectangle is 22 centimeters shorter that its length. The perimiter of the rectangular is 160. find its length.
Click here to see answer by stanbon(75887)

Question 164934: Write an equation for the line parrallel to XY that contains Z.
XY: 6x-10y+5=0, Z(-5,3)
Click here to see answer by Mathtut(3670)