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A window on a new house is designed as a rectangle with a semicircle on the top. If the window is designed to let in the maximum amount of light, and the architect fixes the perimeter of the window to be 850 cm, determine the radius r (of the semicircle) and height h of the rectangle so as to maximize the area. Enter the exact answer or round to the nearest hundredth.

A window on a new house is designed as a rectangle with a semicircle on the top. If the window is designed to let in the maximum amount of light, and the architect fixes the perimeter of the window to be 850 cm, determine the radius r (of the semicircle) and height h of the rectangle so as to maximize the area. Enter the exact answer or round to the nearest hundredth.

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 508E: The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of...
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A window on a new house is designed as a rectangle with a semicircle on the top. If the window is designed to let in the maximum amount of light, and the architect fixes the perimeter of the window to be 850 cm, determine the radius r (of the semicircle) and height h of the rectangle so as to maximize the area. Enter the exact answer or round to the nearest hundredth. Answer E Keypad Keyboard Shortcu- cm h = cm
Transcribed Image Text:A window on a new house is designed as a rectangle with a semicircle on the top. If the window is designed to let in the maximum amount of light, and the architect fixes the perimeter of the window to be 850 cm, determine the radius r (of the semicircle) and height h of the rectangle so as to maximize the area. Enter the exact answer or round to the nearest hundredth. Answer E Keypad Keyboard Shortcu- cm h = cm
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