Homework Help is Here – Start Your Trial Now!
Math
Algebra
-32x² (50)² h(x) where x is the horizontal distance of the cannonball from the end of the cannon. a. How far away from the cannon should a person stand if the person wants to be directly below the cannonball when its height is maxiumum? +x

-32x² (50)² h(x) where x is the horizontal distance of the cannonball from the end of the cannon. a. How far away from the cannon should a person stand if the person wants to be directly below the cannonball when its height is maxiumum? +x

Algebra and Trigonometry (6th Edition)
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,...
See similar textbooks
icon
Related questions
Question

82 please

XRevathi Narasimhan, College Alge X X Revathi Narasimhan, College Alge X ← → C ✰ xyztextbooks.com/ebook/title/reva_ca E CONTENTS 240 73°F Clear CATALOG Chapter 3 Polynomial and Rational Functions + SECTION: 3.1 Applications 80. Landscaping A rectangular garden plot is to be enclosed, with a fence on three of its sides and a brick wall on the fourth side. If 100 feet of fencing material is available, what dimensions will yield the maximum area? + x PAGE 240 81. Construction A rectangular fence is being constructed around a new play area at a local elementary school. If the school has 2000 feet of fencing available for the project, what is the maximum area that can be enclosed for the new play area? 82. Physics: Ball Height A cannonball is fired at an angle of inclination of 45° to the horizontal with a velocity of 50 feet per second. The height h of the cannonball is given by -32x² h(x) = (50)² where x is the horizontal distance of the cannonball from the end of the cannon. a. How far away from the cannon should a person stand if the person wants to be directly below the cannonball when its height is maxiumum? b. What is the maximum height of the cannonball? 83. Physics: Ball Height The height of a ball that is thrown directly upward from a point 200 feet above the ground with an initial velocity of 40 feet per second is given by h(t) = -16t² + 40t + 200, where t is the amount of time elapsed since the ball was thrown. Here, t is in seconds and h(t) is in feet. a. Sketch a graph of h. b. When will the ball reach its maximum height, and what is the maximum height? 84. Manufacturing A rain gutter with a rectangular cross-section is to be fabricated by bending up a flat piece of metal that is 18 feet long and 20 inches wide. The top of the gutter is open. 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 ES m(x) -0:00 Math 1x TOOLS III сс CC Julieta ▶ Play [] español X 8:08 PM 10/20/2022 20
Transcribed Image Text:XRevathi Narasimhan, College Alge X X Revathi Narasimhan, College Alge X ← → C ✰ xyztextbooks.com/ebook/title/reva_ca E CONTENTS 240 73°F Clear CATALOG Chapter 3 Polynomial and Rational Functions + SECTION: 3.1 Applications 80. Landscaping A rectangular garden plot is to be enclosed, with a fence on three of its sides and a brick wall on the fourth side. If 100 feet of fencing material is available, what dimensions will yield the maximum area? + x PAGE 240 81. Construction A rectangular fence is being constructed around a new play area at a local elementary school. If the school has 2000 feet of fencing available for the project, what is the maximum area that can be enclosed for the new play area? 82. Physics: Ball Height A cannonball is fired at an angle of inclination of 45° to the horizontal with a velocity of 50 feet per second. The height h of the cannonball is given by -32x² h(x) = (50)² where x is the horizontal distance of the cannonball from the end of the cannon. a. How far away from the cannon should a person stand if the person wants to be directly below the cannonball when its height is maxiumum? b. What is the maximum height of the cannonball? 83. Physics: Ball Height The height of a ball that is thrown directly upward from a point 200 feet above the ground with an initial velocity of 40 feet per second is given by h(t) = -16t² + 40t + 200, where t is the amount of time elapsed since the ball was thrown. Here, t is in seconds and h(t) is in feet. a. Sketch a graph of h. b. When will the ball reach its maximum height, and what is the maximum height? 84. Manufacturing A rain gutter with a rectangular cross-section is to be fabricated by bending up a flat piece of metal that is 18 feet long and 20 inches wide. The top of the gutter is open. 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 ES m(x) -0:00 Math 1x TOOLS III сс CC Julieta ▶ Play [] español X 8:08 PM 10/20/2022 20
Expert Solution
Step 1

Algebra homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS