Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 10.1, Problem 11CFU

(a)

To determine

To find: The ordered pair that represents the location of the kicker’s teammate.

(a)

Expert Solution

Answer to Problem 11CFU

(X,Y)=(40,60)

Explanation of Solution

Given information: Sports: The dimensions of a soccer field are 120 yards by 80 yards. A player kicks the ball from a corner to his teammate at the center of the playing field. Suppose the kicker is located at the origin.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 10.1, Problem 11CFU , additional homework tip 1

Calculation:

Since, the kick is located at the origin and the teammate is located in the middle of the field,

We can divide the length and width of the field by two to calculate the teammate’s coordinates on the field.

X=802=40Y=1202=60(X,Y)=(40,60)

(b)

To determine

To find: The distance the ball travels.

(b)

Expert Solution

Answer to Problem 11CFU

72.111 yds

Explanation of Solution

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 10.1, Problem 11CFU , additional homework tip 2

Calculation:

Using the answer of the previous part of the problem

(X,Y)=(40,60)

Using the distance formula, we can calculate the distance from the kick to the teammate.

(40−0)2+(60−0)2=1600+3600

5200=20×13=72.111

Thus, the distance traveled is 72.111 yds.

Chapter 10.1, Problem 10CFU

Chapter 10.1, Problem 12E

Chapter 10 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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