Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 1142235: Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = −4x. The east edge cannot intersect with the west edge. On which line could the east edge be located?
Click here to see answer by ikleyn(52779)   |
Question 1142996: 1. A rectangular piece of cardboard can be turned into an open box by cutting away identical squares from each corner and folding up the resulting flaps. The cardboard is 12 inches long and 12 inches wide.
a) Write an expression for the length of the box in terms of x (the length of each square you cut away).
b) Write an expression for the width of the box in terms of x.
c) Write an expression for the Volume of the box in terms of x.
d) Find the dimensions of the box that will yield the maximum volume.
2. A manufacturer of yoga pants sells them for $28 each. They hired some consultants who determined that the cost of manufacturing x pants was
C( x ) = x^2 − 2^x − 9.
a)Write a function for the revenue (the amount of money the company brings in).
b)Write a function for the profit (the revenue - cost).
c)Find the number of t-shirts they should make to maximize the profit function. Round your answer to the nearest whole number.
3. A man wishes to have a rectangular shaped garden in his backyard. He has 84 feet of fencing with which to enclose his garden.
a) Write an expression for the perimeter of the garden.
b) The area of the garden is A = l*w. Use the perimeter equation from part (a) to write the area in terms of just one variable.
c) Find the dimensions for the largest area garden he can have if he uses all the fencing.
Click here to see answer by ikleyn(52779) |
Question 1143072: 1. A rectangular piece of cardboard can be turned into an open box by cutting away identical squares from each corner and folding up the resulting flaps. The cardboard is 12 inches long and 12 inches wide.
a) Write an expression for the length of the box in terms of x (the length of each square you cut away).
b) Write an expression for the width of the box in terms of x.
c) Write an expression for the Volume of the box in terms of x.
d) Find the dimensions of the box that will yield the maximum volume.
Click here to see answer by josgarithmetic(39617) |
Question 1143072: 1. A rectangular piece of cardboard can be turned into an open box by cutting away identical squares from each corner and folding up the resulting flaps. The cardboard is 12 inches long and 12 inches wide.
a) Write an expression for the length of the box in terms of x (the length of each square you cut away).
b) Write an expression for the width of the box in terms of x.
c) Write an expression for the Volume of the box in terms of x.
d) Find the dimensions of the box that will yield the maximum volume.
Click here to see answer by ikleyn(52779) |
Question 1143074: 3. A man wishes to have a rectangular shaped garden in his backyard. He has 84 feet of fencing with which to enclose his garden.
a) Write an expression for the perimeter of the garden.
b) The area of the garden is A = l*w. Use the perimeter equation from part (a) to write the area in terms of just one variable.
c) Find the dimensions for the largest area garden he can have if he uses all the fencing.
Click here to see answer by ikleyn(52779) |
Question 1143074: 3. A man wishes to have a rectangular shaped garden in his backyard. He has 84 feet of fencing with which to enclose his garden.
a) Write an expression for the perimeter of the garden.
b) The area of the garden is A = l*w. Use the perimeter equation from part (a) to write the area in terms of just one variable.
c) Find the dimensions for the largest area garden he can have if he uses all the fencing.
Click here to see answer by josmiceli(19441)  |
Question 1143073: 2. A manufacturer of yoga pants sells them for $28 each. They hired some consultants who determined that the cost of manufacturing x pants was
C( x ) = x^2 − 2x − 9.
a)Write a function for the revenue (the amount of money the company brings in).
b)Write a function for the profit (the revenue - cost).
c)Find the number of t-shirts they should make to maximize the profit function. Round your answer to the nearest whole number.
Click here to see answer by ikleyn(52779) |
Question 1143080: Please help me find and understand the solution to this problem: The diameter of a sphere and the base of a cone are equal. What is the percentage increase of volume of that diameter must the cone's height be so that both volumes are equal. The answer given: (h=200% of diameter)
Thank you!
Click here to see answer by greenestamps(13200)  |
Question 1143127: A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candle has a radius of 0.5 inches and a height of 3 inches. The other two candles are scaled versions of the smallest, with scale factors of 2 and 3. How much wax is needed to create one set of candles
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1143127: A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candle has a radius of 0.5 inches and a height of 3 inches. The other two candles are scaled versions of the smallest, with scale factors of 2 and 3. How much wax is needed to create one set of candles
Click here to see answer by greenestamps(13200) |
Question 1143168: A square metal plate of side length 2 feet and negligible thickness rests on a table top parallel to the ground, and a point source of light is suspended 2 feet above the center of the plate. While one edge of the plate remains on the table, the opposite edge is lifted until the plate makes a 45∘
angle with the table top. What is the area, in square feet, of the shadow cast by the plate on the table top
Click here to see answer by greenestamps(13200) |
Question 1143561: Mr.luna would like to construct a new house with a floor area of 72m².He ask an architect to prepare a floor plan that shows te following:
a.2 bedrooms. d.comfort room
b.living room. e.kitchen
c.Dining room. f.Laundry room
1.suppose you were the architect asked by mr.luna to prepare a floor plan,how will you do it?Draw a floor plan.
2.Fomulate as many Quadratic equation as you can using the floor plan that you prepared.solve the equation using the quadratic equation.
Click here to see answer by ikleyn(52779) |
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