Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 192748: A building 220 feet tall casts a 100 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the building.)
Click here to see answer by jojo14344(1513)  |
Question 192983: Suppose you have 2000cm^2 of material to create a 3D figure with the greatest volume. The material can be formed into a square-based prism (cube), a cylinder or a sphere.
b) Determine the dimensions of the cylinder and sphere so that the volume is maximized.
c) Determine the volume of the cylinder and sphere.
Here are my answers. Are they correct?:
b) cube= 18.26 cm, cylinder radius= 12.6 cm Cylinder height= 12.7 cm, sphere radius = 12.6 cm
c) Cube: 6,088.4 cm^3 Cylinder: 12,568 cm^3 Sphere: 8,375 cm^3
If these answers are not correct, how do I solve these questions?
Click here to see answer by Alan3354(69443)  |
Question 193147: One dimension of a cube is increased by 1, another is decreased by 1, and the third is left unchanged. The volume of the new rectangular solid is 5 less than that of the cube. What is the volume of the cube?
Please explain how to solve this problem.
Click here to see answer by Earlsdon(6294) |
Question 193147: One dimension of a cube is increased by 1, another is decreased by 1, and the third is left unchanged. The volume of the new rectangular solid is 5 less than that of the cube. What is the volume of the cube?
Please explain how to solve this problem.
Click here to see answer by Alan3354(69443) |
Question 193184: Mrs. Sterling's will states that three fourths of her estate will be left to her son and $24,000 will go to her niece. Half of the remainder will got to her church. One third of the money remaining after the church donation will go to her alma mater and the remaining $4000 will pay for Mrs. Sterling's attorney. How much is Mrs. Sterling's estate worth?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 193536: The Great Pyramid of Cheops has a square base of 771 ft on
a side and a height of 486 ft. How many apartments 35 ft x
20 ft x 8 ft would be needed to have a volume equivalent to
that of the Great Pyramid’s?
Please show me how to work this problem. Thank you.
Click here to see answer by vleith(2983) |
Question 193536: The Great Pyramid of Cheops has a square base of 771 ft on
a side and a height of 486 ft. How many apartments 35 ft x
20 ft x 8 ft would be needed to have a volume equivalent to
that of the Great Pyramid’s?
Please show me how to work this problem. Thank you.
Click here to see answer by RAY100(1637) |
Question 193537: A heavy metal sphere with radius 10 cm is dropped into a
right circular cylinder with base radius of 10 cm. If the
original cylinder has water in it that is 20 cm high, how
high is the water after the sphere is placed in it?
I do not understand how to solve this. Please help. Thank you.
Click here to see answer by vleith(2983) |
Question 193537: A heavy metal sphere with radius 10 cm is dropped into a
right circular cylinder with base radius of 10 cm. If the
original cylinder has water in it that is 20 cm high, how
high is the water after the sphere is placed in it?
I do not understand how to solve this. Please help. Thank you.
Click here to see answer by RAY100(1637) |
Question 193755: the length of the cover of a road atlas is 4 in. more than the width. The area is 165 in^2. Fnd the dimensions of the cover
answer: 15 inch by 11 inch anyone can give a complete break down on why the anwer is 15 inch by 11 inch
Click here to see answer by stanbon(75887) |
Question 193755: the length of the cover of a road atlas is 4 in. more than the width. The area is 165 in^2. Fnd the dimensions of the cover
answer: 15 inch by 11 inch anyone can give a complete break down on why the anwer is 15 inch by 11 inch
Click here to see answer by RAY100(1637) |
Question 193631: THe sculpture Batcolumn by Claes Oldenburg and Coosje van Bruggen is a giant replica of a baseball bat and is 100 ft and 9 in. tall What is the ratio of the volume of this sculpture to the volume of a real baseball bat that is 35 in. long?
Click here to see answer by checkley77(12844) |
Question 194227: Hi!!! Im Very Confused with this problem:
The Longest side of a triangle is twice as long as the shortest side and 2cm longer than the third side. if the perimeter of the triangle is 33 cm, what is the lenght of each side?
Pls Help me!!! Thank you!!!
Click here to see answer by nerdybill(7384)  |
Question 194474: REP makes and sells TV satellite dishes. The broadcast companies give them the machining specifications for the best possible signal collection. Their production machine is programmmed to form each dish using the function:
 for y-values greater than 0
If the machine is programmmed in centimeters, what are the minimum dimensions of the cardboard box needed to ship each individual dish?
Click here to see answer by nerdybill(7384) |
Question 194818: A rectangle has one side that is 2ft longer than the other. The diagonal is 10ft. What is the perimeter?
This is an extra credit question from my college Algebra II professor. I have no idea how to go about solving it. Any help is greatly appreciated.
Click here to see answer by solver91311(24713)  |
Question 194941: Three pizzas of the given diameter are cut as indicated. Which cut produces the largest pieces?
a. An 8-inch pizza cut into 6 congruent slices
b. A 12-inch pizza cut into 8 congruent slices
c. A 16-inch pizza cut into 10 congruent slices
I chose A, but I'm not really sure if the drawings I made are accurate.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 194941: Three pizzas of the given diameter are cut as indicated. Which cut produces the largest pieces?
a. An 8-inch pizza cut into 6 congruent slices
b. A 12-inch pizza cut into 8 congruent slices
c. A 16-inch pizza cut into 10 congruent slices
I chose A, but I'm not really sure if the drawings I made are accurate.
Click here to see answer by scott8148(6628)  |
Question 195142: please help me solve this i've been trying forever.
the width of a rectangle is 3 cm less than the length. if the diagonal of the rectangle is 20 cm., find the width and length to the nearest hundredth.
thanks.
Click here to see answer by Alan3354(69443) |
Question 195732: A ladder leans against the side of a house. The angle of the elevation of the ladder is , and the top of the ladder is above the ground. Find the distance of the foot of the ladder from the side of the house. Round your answer to the nearest hundredth.
Click here to see answer by user_dude2008(1862) |
Question 195732: A ladder leans against the side of a house. The angle of the elevation of the ladder is , and the top of the ladder is above the ground. Find the distance of the foot of the ladder from the side of the house. Round your answer to the nearest hundredth.
Click here to see answer by stanbon(75887) |
Question 195972: A goat is attached to a rope 8 yards long, which is attached to the corner of a rectangular shed in a grassy field with dimensions of 5 yards by 7 yards. What is the area of the patch of grass that the goat can graze?
Click here to see answer by nerdybill(7384) |
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