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A Norman window is in the shape of a rectangle surmounted by a semi-circle.

A Norman window is in the shape of a rectangle surmounted by a semi-circle.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.3: Elimination Using Addition And Subtraction
Problem 44PFA
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38
A Norman window is in the shape of a rectangle surmounted by a semi-circle.
Transcribed Image Text:A Norman window is in the shape of a rectangle surmounted by a semi-circle.
A 38. Which of the following equations is the correct representation of the perimeter (P) of the Norman window where a is the radius of the semi-circle and b is the height of the rectangle? A. P = 2a + 2 + πα C. P = a + b + πα B. P = 2α + 20 + 2πα D. P=a+b+ 2πа D 39. What is the ratio of the width of the rectangle to the total height so that it will yield a window admitting the most light for a given perimeter? (Note: use T≈ 3.1416) A. 0.25 C. 0.75 B. 0.50 D. 1 40. What is the maximum area of the Norman window if the allowable perimeter is 23 feet? (Note: use ≈ 3.1416 A. 37.04 sq.ft. C. 57.04 sq.ft. B. 47.04 sq.ft. D. 67.04 sq.ft.
Transcribed Image Text:A 38. Which of the following equations is the correct representation of the perimeter (P) of the Norman window where a is the radius of the semi-circle and b is the height of the rectangle? A. P = 2a + 2 + πα C. P = a + b + πα B. P = 2α + 20 + 2πα D. P=a+b+ 2πа D 39. What is the ratio of the width of the rectangle to the total height so that it will yield a window admitting the most light for a given perimeter? (Note: use T≈ 3.1416) A. 0.25 C. 0.75 B. 0.50 D. 1 40. What is the maximum area of the Norman window if the allowable perimeter is 23 feet? (Note: use ≈ 3.1416 A. 37.04 sq.ft. C. 57.04 sq.ft. B. 47.04 sq.ft. D. 67.04 sq.ft.
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