90. Architecture There is 24 feet of material available to trim the outer frame of a window shaped as in the diagram. a. Write an expression for the length of the semicircular arc (just the curved portion) in terms of x. b. Set up an equation relating the amount of available trim material to the lengths of the parts of the window that are to be covered with the trim. Solve this equation for y.
90. Architecture There is 24 feet of material available to trim the outer frame of a window shaped as in the diagram. a. Write an expression for the length of the semicircular arc (just the curved portion) in terms of x. b. Set up an equation relating the amount of available trim material to the lengths of the parts of the window that are to be covered with the trim. Solve this equation for y.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Number 90 a and b
![XRevathi Narasimhan, College Alge X
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E CONTENTS
242
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CATALOG
X Revathi Narasimhan, College Alge X
+
SECTION: 3.1
90. Architecture There is 24 feet of material available to trim the outer frame of a window shaped as
in the diagram.
Chapter 3 Polynomial and Rational Functions
PAGE 241
a. Write an expression for the length of the semicircular arc (just the curved portion) in
terms of x.
b. Set up an equation relating the amount of available trim material to the lengths of the parts
of the window that are to be covered with the trim. Solve this equation for y.
c. Write an expression for the area of the window in terms of x.
d. What are the dimensions of the window that will maximize the area of the window? What is
the maximum area of the window?
91. Engineering When designing buildings, engineers must pay careful attention to how different
factors affect the load a structure can bear. The following table gives the load in terms of the
a
H
a
CC
VIDEOS
Mr. Hampton
▶ Play
BOOKSHELF
SUPPLEMENTS
m(x) = -0.0108X² +0.981 X + 8.05
30-
b) mileage 35mph
m(35) =
-0.0108(35)² +15-
0.98 (39)+8.05 19.
29.2 mpg
20.
CC
maximum, using a graphing utility.
Shelby
▶ Play
5
hat speed is mileage at a maximum
V=(45.5, 30.4)
PROGRESS
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75
CC
Breylor
▶ Play
m(x)
-0:00
Math
1x
TOOLS III
сс
CC
Julieta
▶ Play
[]
español
X
9:18 PM
10/20/2022
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa32b080e-315a-4cdc-b676-262d2151a2fd%2F8b2d24c5-d3f4-482c-99cf-3db8608b67bc%2Fmk4kple_processed.png&w=3840&q=75)
Transcribed Image Text:XRevathi Narasimhan, College Alge X
← → C ✰ xyztextbooks.com/ebook/title/reva_ca
E CONTENTS
242
70°F
Clear
CATALOG
X Revathi Narasimhan, College Alge X
+
SECTION: 3.1
90. Architecture There is 24 feet of material available to trim the outer frame of a window shaped as
in the diagram.
Chapter 3 Polynomial and Rational Functions
PAGE 241
a. Write an expression for the length of the semicircular arc (just the curved portion) in
terms of x.
b. Set up an equation relating the amount of available trim material to the lengths of the parts
of the window that are to be covered with the trim. Solve this equation for y.
c. Write an expression for the area of the window in terms of x.
d. What are the dimensions of the window that will maximize the area of the window? What is
the maximum area of the window?
91. Engineering When designing buildings, engineers must pay careful attention to how different
factors affect the load a structure can bear. The following table gives the load in terms of the
a
H
a
CC
VIDEOS
Mr. Hampton
▶ Play
BOOKSHELF
SUPPLEMENTS
m(x) = -0.0108X² +0.981 X + 8.05
30-
b) mileage 35mph
m(35) =
-0.0108(35)² +15-
0.98 (39)+8.05 19.
29.2 mpg
20.
CC
maximum, using a graphing utility.
Shelby
▶ Play
5
hat speed is mileage at a maximum
V=(45.5, 30.4)
PROGRESS
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75
CC
Breylor
▶ Play
m(x)
-0:00
Math
1x
TOOLS III
сс
CC
Julieta
▶ Play
[]
español
X
9:18 PM
10/20/2022
20
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