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 + 20 + πα C. P=a+b+ ла B. P= 2a + 2b + 2πа D. P= a + b + 2πа

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.1: Ratios
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38
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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