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. 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?
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. 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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 8AGP
Related questions
Question
Parts C and D
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa32b080e-315a-4cdc-b676-262d2151a2fd%2F764b2f46-a4e3-4969-b3ef-7ebe7e901e43%2F3di33mh_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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 11 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL