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andre [41]
2 years ago
6

A rain gutter is to be made of aluminum sheets that are 16 inches wide by turning up the edges 90. See the illustration.

Mathematics
1 answer:
goblinko [34]2 years ago
7 0

Based on the width of the aluminum sheets and the angle of the edges, the depth that allows maximum cross-sectional area is 4 inches.

<h3>How much can the maximum cross-sectional area?</h3>

Assuming that the depth is x, the area would be:

= x (16 - 2x)

= 16x - 2x²

The maximum of the parabola is:

x = -b / 2a

= - 16 / (2 x -2)

= -16 / -4

= 4 inches

Find out more on using a parabola to solve for height at brainly.com/question/2274171

#SPJ1

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