Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
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Expert Solution & Answer
Chapter 7, Problem 19TP
Solution
i.
To identify: The sequence formed by the curve radii if a running track is shaped like a rectangle with two semicircular ends. The track has 8 lanes that are each 1.22 meter wide. The lanes are numbered from 1 to 8 starting from the inside lane. The length of each line segment that extends from the center of the left semicircle to the inside of a lane is called the lane’s curve radius.
The sequence is arithmetic.
Given information:
A running track is shaped like a rectangle with two semicircular ends. The track has 8 lanes that are each 1.22 meter wide. The lanes are numbered from 1 to 8 starting from the inside lane. The length of each line segment that extends from the center of the left semicircle to the inside of a lane is called the lane’s curve radius.
Explanation:
Consider the given information.
The first lane is equal to 36.5
The second lane is
The third lane is
It can be observed that the common difference is 1.22
So, sequence is arithmetic.
ii.
To identify: The formula for the sequence from part (a).
The required formula is
Given information:
A running track is shaped like a rectangle with two semicircular ends. The track has 8 lanes that are each 1.22 meter wide. The lanes are numbered from 1 to 8 starting from the inside lane. The length of each line segment that extends from the center of the left semicircle to the inside of a lane is called the lane’s curve radius.
Explanation:
Consider the given information.
The first lane is equal to 36.5
The second lane is
The third lane is
The common difference is 1.22
Thus, the required formula is:
iii.
To identify: Whether the track meet the required if world records must be set on tracks that have a curve radius of at most 50 meters in the outside lane.
The track meets the requirements.
Given information:
A running track is shaped like a rectangle with two semicircular ends. The track has 8 lanes that are each 1.22 meter wide. The lanes are numbered from 1 to 8 starting from the inside lane. The length of each line segment that extends from the center of the left semicircle to the inside of a lane is called the lane’s curve radius.
Explanation:
Consider the given information.
In order to determine find the 8th lane radius and then compare to the 50 meter and if it is larger, it does not meet the requirement.
Put 8 for n .
Since 45.04 is less than 50 so track meets the requirements.
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
Ch. 7.1 - Prob. 1GPCh. 7.1 - Prob. 2GPCh. 7.1 - Prob. 3GPCh. 7.1 - Prob. 4GPCh. 7.1 - Prob. 5GPCh. 7.1 - Prob. 6GPCh. 7.1 - Prob. 7GPCh. 7.1 - Prob. 8GPCh. 7.1 - Prob. 9GPCh. 7.1 - Prob. 10GP
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