Questions on Geometry: Geometric formulas answered by real tutors!

Tutors Answer Your Questions about Geometric formulas (FREE)

Question 142121: I would like to know the formula to find the radius of a circle, when I only have a portion of a circle. chord and arch. I can't remember the formula.
Click here to see answer by stanbon(57354)

Question 142843: please help!! find the length and width of rectangle WXYZ. top left of rectangle labeleb W top right Z bottom left X bottom right Y between W and Z is x+7 between X and Y A=198 in.^2 between Z and Y x thenks for the help.
Click here to see answer by stanbon(57354)

Question 142841: please help!! find the length and width of rectangle ABCD. top left of rectangle is labeled A top right D bottom left B bottom right C between B and C is P=140cm between D ancd C is x thanks for the help.
Click here to see answer by stanbon(57354)

Question 142839: please please help!! find the length of the rectangle in terms of x left top of rectangle is labeled M right top N left bottom P and right bottom O between P and O is area + 4x^3-5x^2-10x-3 Between N and O is 4x+3 please help.
Click here to see answer by stanbon(57354)

Question 144010: Hey! My name is Lacey and my teacher gave me the opportunity for extra credit with a really hard problem, but I really, really, really need the extra credit and she said there are going to be problems like this on the test this Friday! yikes! So, your help would be greatly appreciated.
The problem is as follows:
How many squares are on an 8 by 8 checkerboard? Write an explanation of how you got your answer.

Click here to see answer by checkley77(12569)

Question 144573: i need help finding the are of a shaded region but id have to draw you a picture in order for you to help me. is there a way i can do that so you can help me??

THANKS ALOT
Click here to see answer by Alan3354(30993)

Question 144880: Find the unknown angle for the following right triangle:
Angle A Angle B Angle C
? 90 27

Click here to see answer by Alan3354(30993)

Question 145075: write TRUE or FALSE...
1. A line has lenght and width.
2. A point has no Dimension.
3. A ray has definite length.
4. A line consists of an infinite number of points.
5. A plane has an infinite number of lines.
6. Opposite planes are Coplanar.
7. TRUE
8. A line segment has definite length.
9. TRUE
10. TRUE
Click here to see answer by 24HoursTutor.com(40)

Question 145731: If you are standing 85 ft. from the base of a flag ploe, and determined that at ground level, you would need to look up at a 30 degree angle to see the top of the flag pole, how tall is the flag pole round the hight to tenths.
Click here to see answer by jojo14344(1512)

Question 146504: Hey, I'm having some trouble understanding this... Do you think you could help me? Thanks ahead of time.(:

Find the slope of a line parallel to the graph of each equation.

y = 1/2x + 2.3
Click here to see answer by Earlsdon(6287)

Question 146741: what is the formula will i use if i want to get the area in square meter of an octagon?
Click here to see answer by vleith(2825)

Question 146816: Is there a formula for answering this problem?
The coordinates are (-1,2),(-10,-1). Find two points that can cut the segment into three parts with equal length.
Click here to see answer by Alan3354(30993)

Question 146952: This was a two part question. I figured out the answer for A but not B.
Find components for the following vectors AB :
(a) A = (1,2) and B = (3,-7)
My answer is: from A to B [-1,4]
(b) A = (2,3) and B = (2 + 3t, 3-4t)
Click here to see answer by Fombitz(13828)

Question 147608: The height h (in feet) of an object that is dropped from the height of s feet is given by the formula h = s - 16t 2 , where t is the time the object has been falling. A 6 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 2 story. How long does she have to get out of the way? Round to the nearest tenth. (A story is 12 feet.) Choose the answer from the following:
Click here to see answer by ankor@dixie-net.com(15652)

Question 147750:
A bicycle wheel of diameter 30 inches is spinning at a rate of 60rpm. What is the exact value of the angular velocity of the wheel in rad/min?
What is the linear speed of the bicycle in the previous problem to the nearest mile per hour?
Click here to see answer by stanbon(57354)

Question 148404: how can you represent the cosine of an angle in terms of a ratio?
thnx
Click here to see answer by stanbon(57354)

Question 148357: What is a meter? I know that it is a member of the metric unit, but I need to know what the meaning of it is. I also need the same thing about these:
kilometer(km)(I think I already know this one though, one km=0.62miles?)
kilogram(kg)
Click here to see answer by jojo14344(1512)

Question 142123: Factor completely by grouping:

Click here to see answer by Edwin McCravy(8909)

Question 148768: Find the exact value. (We are suppost to be using the trig addition and subtraction formulas to find a solution) For the first problem I got the answer -(√2)/2 and I got totally lost on the second problem. I'm not sure if my answer was correct. Help would be greatly appeciated. Thanks
1) sin(11pi/12) (use 11pi/12=2pi/3+pi/4)
2) tan(7pi/12) (use 7pi/12=3pi/4-pi/6)
Click here to see answer by jim_thompson5910(28595)

Question 148784: Please help me solve:
An angle measures 14° less than three times its complement.
Find the measure of the angle and it's complement.

Click here to see answer by nerdybill(6959)

Question 148866: For a holiday party, Marcus is making a nine-layer torte, which consists of nine 8-inch diamer cake layers with a cream topping on each layer. He knows that one receipe of cream will cover 54 square inches of cake. How many batches of topping must he make to complete his torte(Use 3.14 as an approximate value)
Could you please start me off with how i would set this problem up? Please don't give me the answer. Thank you
Click here to see answer by edjones(7569)

Question 148843: Verify the identity using multiple-angle formulas.

1a) cos^(2)3x-sin^(2)3x=cos6x

1b) (sin^(2)2α)/(sin^(2)α)=4-4sin^(2)α
Click here to see answer by Nate(3500)

Question 149168: 2. The Great Pyramid at Giza was originally 483 feet tall, and it had a square base that was 756 feet on a side. It was built from rectangular stone blocks measuring 7 feet by 7 feet by 15 feet. Such a block weighs seventy tons. Approximately how many tons of stone were used to build the Great Pyramid? The volume of a pyramid is 1/3 the base area times the height.
Click here to see answer by jim_thompson5910(28595)

Question 149170: 4. A broken circular gear is brought into a metal shop so that a replacement can be built. A ruler is placed across two points on the rim, and the length of the chord is found to be 14 inches. The distance from the midpoint of this chord to the nearest point on the rim is found to be 4 inches. Find the radius of the original gear.
Click here to see answer by jim_thompson5910(28595)

Question 149171: 7. The altitude of a regular triangular pyramid is the segment connecting a vertex to the centroid of the opposite face. A regular triangular pyramid has edges of length 6 inches. How tall is such a pyramid, to the nearest hundredth of an inch?
Click here to see answer by jim_thompson5910(28595)

Question 149173: 10. The segments GA and GB are tangent to a circle with center O at A and B, and AGB is a 60-degree angle. Given that GA = 12 square root 3 cm, find the distance GO. Find the distance from G to the nearest point on the circle.

Click here to see answer by jim_thompson5910(28595)

Question 149517: Find the volume of material that is needed to form a spherical shell whose outer radius is 6.0 inches and whose thickness is 0.01 inches. Use your answer to estimate the surface area of the 6-inch sphere.
Click here to see answer by jim_thompson5910(28595)

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(28595)

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?

Click here to see answer by jim_thompson5910(28595)

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?

Click here to see answer by jim_thompson5910(28595)

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(28595)

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.
Click here to see answer by jim_thompson5910(28595)

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.

Click here to see answer by jim_thompson5910(28595)

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?

Click here to see answer by jim_thompson5910(28595)

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(28595)

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(158)

Question 152121: find the diameter of a circle if the radius has the value given r=33in.
Click here to see answer by vleith(2825)

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(13828)

Question 153146: The Fibonacci sequence consists of the pattern 1,1,2,3,5,8,13...
What is the ninth term in the pattern?
Click here to see answer by stanbon(57354)

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
Click here to see answer by Fombitz(13828)

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(15652)

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(57354)

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