A rain gutter is to be made of aluminum sheets that are 32 inches wide by turning up the edges 90°, See the illustration. (a) What depth will provide maximum cross-sectional area and hence allow the most water to flow? (b) What depths will allow at least 78 square inches of water to flow? 32-2x (a) The depth that will provide the maximum cross-sectional area is inches.

A rain gutter is to be made of aluminum sheets that are 32 inches wide by turning up the edges 90°, See the illustration. (a) What depth will provide maximum cross-sectional area and hence allow the most water to flow? (b) What depths will allow at least 78 square inches of water to flow? 32-2x (a) The depth that will provide the maximum cross-sectional area is inches.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter5: Factoring Polynomials

Section5.13: Using Factoring To Solve Problems

Problem 30P

See similar textbooks

Similar questions

A city planner wants to build a bridge across a lake in a park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the leg is 160 feet. Find the length of the bridge.
A man on the top of a building wants to have a guy wire extend to a point on the ground 20 ft from the building. To the nearest foot, how long will the wire have to be if the building is 50 fttall?
The area of a triangular church window is 90 square meters. The base of the window is 15 meters. What is the window’s height?
A vacant lot is being converted into a community garden. The garden and the walkway around its perimeter have an area of 378 ft2. Find the width of the walkway if the garden is 12 ft, wide by 15 ft. long.
Show that the sum of the two solutions to the quadratic equation is ba.
The width of a rectangle is 21 meters. The area is 609 square meters. What is the length?
Rectangle ABCD in the illustration is twice as long as it is wide, and its sides are parallel to the coordinate axes. If the perimeter is 42, find the coordinates of point C.
Solve: 5a+3=37 .
The legs of a right triangle are 718 and 912 . What is the length of the hypotenuse?
The area of a triangular painting is 126 square inches. The base is 18 inches. What is the height?
In the equation 0.35x+2.1=2.85 what is the LCD? How do you know?