Question

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

Answer 1

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.

How much can the maximum cross-sectional area?

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