A rain gutter is to be made of aluminum sheets that are 16 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 30 square inches of water to flow? wwww 16-2x (a) The depth that will provide the maximum cross-sectional area is inches. (b) The depths betweenin. and in. will allow at least 30 square inches of water to flow. 16
A rain gutter is to be made of aluminum sheets that are 16 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 30 square inches of water to flow? wwww 16-2x (a) The depth that will provide the maximum cross-sectional area is inches. (b) The depths betweenin. and in. will allow at least 30 square inches of water to flow. 16
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:The image is about designing a rain gutter from aluminum sheets that are 16 inches wide by turning up the edges at a 90° angle.
There is a diagram illustrating the gutter's cross-section. The diagram shows a rectangular shape with a base labeled "16 - 2x," where "x" represents the height of the upturned edges. The sides of the rectangle are labeled with "x."
Below the diagram, there are two questions:
(a) What depth will provide maximum cross-sectional area and hence allow the most water to flow?
(b) What depths will allow at least 30 square inches of water to flow?
Finally, there is a blank space for answers:
(a) The depth that will provide the maximum cross-sectional area is ___ inches.
(b) The depths between ___ in. and ___ in. will allow at least 30 square inches of water to flow.
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