Ask Question
25 March, 06:04

A rain gutter is to be made of aluminum sheets that are 28 inches wide by turning up the edges 90degrees. What depths will allow at least 66 square inches of water to flow?

+4
Answers (1)
  1. 25 March, 06:20
    0
    d=4inches

    Or d=10 inches

    Step-by-step explanation:

    Let d = depth of gutters

    Let 28 - d be width of gutters

    Cross sectional area of gutter = d (28-2d)

    66 = d (28-2d)

    66 = 28d - 2d^2

    2d^2 - 28d + 66=0

    Dividing by 2 gives

    d^2 - 14d + 33

    Using Almighty formular

    d = - (-14) + - sqrt ( - (-14) - (4*1*33) / 2

    d = 14+-sqrt (196-132) / 2

    d = 14+-sqrt (64) / 2

    d = 14 + - (8/2)

    d=14+-4

    d=14+4=18 or

    d = 14-4=10
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A rain gutter is to be made of aluminum sheets that are 28 inches wide by turning up the edges 90degrees. What depths will allow at least ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers