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Nikitich [7]
3 years ago
12

A rain gutter is made from sheets of aluminum that are 18 inches wide by turning up the edges to form right angles. Determine th

e depth of the gutter that
will maximize its cross-sectional area and allow the greatest amount of water to flow.
A. 5 inches
B. 4 inches
C. 4.5 inches
D. 5.5 inches
Mathematics
1 answer:
mr Goodwill [35]3 years ago
7 0
The answer is C. 4.5 in
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Function f(x) is positive, increasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 eq
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AB = CD = √8 ≈ 2.8 units

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Area of the rectangle ABCD = 3.92 units²

Perimeter of the rectangle ABCD = 8.4 units

<h3>How to Find the Area and Perimeter of a Rectangle?</h3>

Given the coordinates of vertices of rectangle ABCD as:

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  • B(2,4)
  • C(3,3)
  • D(1,1)

To find the area and perimeter, use the distance formula to find the distance between A and B, and B and C.

Using the distance formula, we have the following:

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BC = √[(2−3)² + (4−3)²]

BC = √[(−1)² + (1)²]

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Area of the rectangle ABCD = (AB)(BC) = (2.8)(1.4) = 3.92 units²

Perimeter of the rectangle ABCD = 2(AB + BC) = 2(2.8 + 1.4) = 8.4 units

Learn more about the area and perimeter of rectangle on:

brainly.com/question/24571594

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