Questions on Word Problems: Geometry answered by real tutors!

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Question 1110558: The radii of two concentric circles are 15 cm and 7 cm. A diameter AB of the larger circle intersects the smaller circle at C and D. Find two possible values for AC.
I know one is AC = 15 - 7 = 8 cm. Can I get help on another value explain how you got it.
Thanks!
Click here to see answer by ikleyn(52778)

Question 1110559: Circle O has a radius of 12. Points A and B are on the circle forming radii OA and OB. What is the length of line AB if measure of angle AOB = 120?
The answer is 12 square root of 3
Can somebody explain to me how to get to the answer.
Thanks!
Click here to see answer by greenestamps(13198)

Question 1110681: The angle of a triangle is twice the measure of the second angle.The third angle is twice the measure of the second angle.Find the measure of each angle
Click here to see answer by Fombitz(32388)

Question 1110705: A rectangular display cabinet measures 96 centimeters by 78 centimeters by 34 centimeters. What is the aurface area of the outside of the cabinet if it does not have a cover?
Click here to see answer by greenestamps(13198)

Question 1110789: Lets say you are building a wooden frame for a rhombus shaped mirror. The mirror has diagonals with lengths of 10 inches and 24 inches. How much wood is needed to build the frame? The wood costs $1.14 per foot. How much will you spend on wood to build the frame? When you build the frame, the four sides will connect at four corners. What angle measures will be created at these four corners?
Click here to see answer by KMST(5328)

Question 1110878: You have a circular garden with an area of 32 square feet. If you increase the radius by a scale factor of 5, what is the area of the new garden?

I think it may be:
32=r^2(pi)
so with scale factor of 5, it would be:
(5r)^2
so 25*32 or 800 square feet
Click here to see answer by Alan3354(69443)

Question 1110882: Two angles are supplementary. One is 48degrees more than three times the other. Find the measures of the angles. Supplementary angles are angles whose sum is 180degrees.
Click here to see answer by josgarithmetic(39617)

Question 1110934: if the length of each side of a square is doubled, the area is increased by 1875 in^2. Find the length of each side of the original square.
Click here to see answer by ikleyn(52778)

Question 1110990: If the sides of a square are reduced by 1 in. The total amount taken is equal to 40 square inches. What was the original length of the sides of the square.
Click here to see answer by josgarithmetic(39617)

Question 1110997: A rectangle sandbox has a width of 5 feet the sandbox is five times as long as it is wide what is the Perimeter of the sandbox
Click here to see answer by ikleyn(52778)

Question 1111071: A wall with an area of (3x2 + 4x + 1) square units has a rectangular window that has a width of (x + 2) units and a length of (x + 1) units. The wall also has a built-in shelving unit that occupies an area of (x2 + 5x + 6) square units of wall space. If the wall is to be covered with wallpaper, how much wallpaper will be required?
Click here to see answer by Boreal(15235)

Question 1111092: A contractor has been hired to pour a rectangular concrete patio. How can he be sure that the frame in which he will pour the concrete is rectangular?
Click here to see answer by ikleyn(52778)

Question 1111093: At a campground, a rectangular fire pit is 7 feet by 6 feet what is the area of the largest circular fire that can be made in this fire pit? Use 3.14
Click here to see answer by ikleyn(52778)

Question 1111185: To find the height of a tal tree a surveyor moves 140 feet away from the bace of the tree and then with a transit 4 feet tall measure the angle of elevation to the top of the tree to be 53 degrees what is the highs of the tree round to the nearest foot
Click here to see answer by mananth(16946)

Question 1111119: ABCD is a square with side length x cm. M and N are the midpoints of AD and CD respectively. The midpoints and point B make a triangle which is the shaded area. Find the ratio of the shaded to unshaded area.
Click here to see answer by KMST(5328)

Question 1111264: If the length of a given rectangle is increased by 3 inches and the breadth is reduced by 4 inches, then the area is reduced by 67 square inches. If the length is reduced by 1 inch and the breadth is increased by 4 inches, then the area is increased by 89 square inches. Find the length and the breadth of the rectangle.

Click here to see answer by josgarithmetic(39617)

Question 1111270: Mary wants to fill a swimming pool that holds 15,000 gallons of water. if she fills from a large hose for 3 hours and a small hose for 8 hours, she can fill half the pool. The pool is completely filled if she uses both hoses together for 10 hours. how long will it take to fill the pool using each hose by itself.
Click here to see answer by ikleyn(52778)

Question 1111292: the length of a rectangular field is two more than twice the width. the perimeter is 137 meters. find the dimensions.

Click here to see answer by addingup(3677)

Question 1111411: the length of a rectangular patio is three-time its width. The area of the patio is 432 square feet.
What is the length, in feet, pf the patio?
Click here to see answer by josgarithmetic(39617)

Question 1111438: A rag rug is shaped like a rectangle whose perimeter is 210 ft. The length is 4 times as long as 4 times as long as the width. Find the length and the width
Click here to see answer by josgarithmetic(39617)

Question 1111517: Jim built a large wooden storage box. The box was in the shape of a rectangular prism, as shown below. He covered all the sides of the box with special wallpaper that cost a total of 942
. How much did the wallpaper cost per square foot?
Click here to see answer by Alan3354(69443)

Question 1111576: If a meteor hits the Earth and forms a crater that measures 10 miles in diameter, what is the area of the crater formed?

Click here to see answer by Alan3354(69443)

Question 1111572: Hello, my name is Lucy. I need help on a math problem. I have sort of eliminated the choices C and D but am still struggling on A and B. Do you think you can help? The math problem reads:
A company produced 10,288 crayons. They put 75 crayons in each large box they ship out. Which statement is true?
A. The company can fill 137 large boxes of crayons, with 11 crayons left over.
B. The company can fill 137 large boxes of crayons, with 13 crayons left over.
C. The company can fill 138 large boxes of crayons, with 10 crayons left over.
D. The company can fill 138 large boxes of crayons, with 14 crayons left over.
Click here to see answer by Alan3354(69443)

Question 1111651: An architect creates the blueprint of a new office building. The blueprint uses a scale of 1 inch = 2.5 feet and shows the area of the office building to be 336 square inches.

What will be the area of the office building?

Click here to see answer by KMST(5328)

Question 1111777: In a right triangle, one acute angle is 54� more than twice the other. Find each acute angle.
Click here to see answer by ikleyn(52778)

Question 1111513: I have a package of software shrink-wrapped with plastic.How much plastic is used for this size package? My measures are 14in. width and 8in.length and 7 1/2 in. height
Click here to see answer by mananth(16946)

Question 1111914: A square poster has sides measuring 2 feet less than the sides of a square sign. If the difference between their areas is
32 square feet, find the lengths of the sides of the poster and the sign.
Click here to see answer by josgarithmetic(39617)

Question 1112032: A model of a marble statue of height 3.2 metre is made up of the material of the same density. The height of the model is 40 cm. If its mass is 12 KG find the mass of the Statue
Click here to see answer by stanbon(75887)

Question 1112075: a construction worker is building a rectangular wall that is 16 feet high and 23 feet long. if he needs to leave space for a window that takes up 24 square feet,in square feet what is the area of the wall

Click here to see answer by ikleyn(52778)

Question 1112106: the width of a rectangular swimming pool is 12 meters less than the length and the perimeter is 72 meters find its dimensions
Click here to see answer by ikleyn(52778)

Question 1112140: Find the smallest angle of a triangle if the difference and sum of two angles are 30 degrees and 110 degrees respectively.
Click here to see answer by Alan3354(69443)

Question 1112138: The official ball diamond is in the form of a square.The distance between the home base and the second base in a baseball is usually 35m. Find the area and the distance between the bases.
Click here to see answer by Alan3354(69443)

Question 1112168: Given that the perimeter of a triangle is 180 in. If the angles of the triangle are in the ration 5:6:7. Determine the sides of the triangle.
Click here to see answer by Alan3354(69443)

Question 1112186: a triangle with a perimeter of 72 cm is reduced. The reduced perimeter is 54 cm. What is the scale factor of the reduction?. 54/72 = 0.75
Click here to see answer by math_helper(2461)

Question 1112160: Suppose that AD, BC, AC, and BD are line segments with line AD parallel to line BC. If AD=3, BC=1, and the distance from AD to BC is 5, then what is the sum of the areas of the two triangles formed?
Click here to see answer by greenestamps(13198)

Question 1112136: A regular hexagon A has the midpoints of its edges joined to form a smaller hexagon B and this process is repeated by joining the midpoints of the edges of B to get a third hexagon C. What is the ratio of the area of C to the area of A? Please Explain.
Click here to see answer by greenestamps(13198)

Question 1112243: a sphere of radious 2 cm is dropped into water contained in a cylindrical vessel of radious 4 cm. if the sphere is comp[letely immersed then what will be the rise in level of water

Click here to see answer by ikleyn(52778)

Question 1112249: Add 27 to the measure of an angle and the result is half of the angles supplement what is the measure of the angle
Click here to see answer by Boreal(15235)

Question 1112194: How long would n $800 investment take to earn $160 at a rate of 5% annually?

What is the interest rate if you earned $504 on an $1800 investment for 4 years?

Click here to see answer by Boreal(15235)

Question 1112283: One kiloparsec (kpc) is 3,260 lightyears. How many lightyears is the sun from the center of our galaxy?
Click here to see answer by Alan3354(69443)

Question 1112283: One kiloparsec (kpc) is 3,260 lightyears. How many lightyears is the sun from the center of our galaxy?
Click here to see answer by ikleyn(52778)

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