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 36.5+1.22

The third lane is 36.5+21.22

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 an=36.5+1.22n−1

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 36.5+1.22=37.72

The third lane is 36.5+21.22=38.94

The common difference is 1.22

Thus, the required formula is: an=36.5+1.22n−1

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 8^t^h lane radius and then compare to the 50 meter and if it is larger, it does not meet the requirement.

an=36.5+1.22n−1

Put 8 for n .

an=36.5+1.228−1=45.04

Since 45.04 is less than 50 so track meets the requirements.

Chapter 7, Problem 18TP

Chapter 7, Problem 20TP

Chapter 7 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

Ch. 7.1 - Prob. 1GP Ch. 7.1 - Prob. 2GP Ch. 7.1 - Prob. 3GP Ch. 7.1 - Prob. 4GP Ch. 7.1 - Prob. 5GP Ch. 7.1 - Prob. 6GP Ch. 7.1 - Prob. 7GP Ch. 7.1 - Prob. 8GP Ch. 7.1 - Prob. 9GP Ch. 7.1 - Prob. 10GP

Ch. 7.1 - Prob. 11GP Ch. 7.1 - Prob. 12GP Ch. 7.1 - Prob. 13GP Ch. 7.1 - Prob. 14GP Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E Ch. 7.1 - Prob. 11E Ch. 7.1 - Prob. 12E Ch. 7.1 - Prob. 13E Ch. 7.1 - Prob. 14E Ch. 7.1 - Prob. 15E Ch. 7.1 - Prob. 16E Ch. 7.1 - Prob. 17E Ch. 7.1 - Prob. 18E Ch. 7.1 - Prob. 19E Ch. 7.1 - Prob. 20E Ch. 7.1 - Prob. 21E Ch. 7.1 - Prob. 22E Ch. 7.1 - Prob. 23E Ch. 7.1 - Prob. 24E Ch. 7.1 - Prob. 25E Ch. 7.1 - Prob. 26E Ch. 7.1 - Prob. 27E Ch. 7.1 - Prob. 28E Ch. 7.1 - Prob. 29E Ch. 7.1 - Prob. 30E Ch. 7.1 - Prob. 31E Ch. 7.1 - Prob. 32E Ch. 7.1 - Prob. 33E Ch. 7.1 - Prob. 34E Ch. 7.1 - Prob. 35E Ch. 7.1 - Prob. 36E Ch. 7.1 - Prob. 37E Ch. 7.1 - Prob. 38E Ch. 7.1 - Prob. 39E Ch. 7.1 - Prob. 40E Ch. 7.1 - Prob. 41E Ch. 7.1 - Prob. 42E Ch. 7.1 - Prob. 43E Ch. 7.1 - Prob. 44E Ch. 7.1 - Prob. 45E Ch. 7.1 - Prob. 46E Ch. 7.1 - Prob. 47E Ch. 7.1 - Prob. 48E Ch. 7.1 - Prob. 49E Ch. 7.1 - Prob. 50E Ch. 7.1 - Prob. 51E Ch. 7.1 - Prob. 52E Ch. 7.1 - Prob. 53E Ch. 7.1 - Prob. 54E Ch. 7.1 - Prob. 55E Ch. 7.1 - Prob. 56E Ch. 7.1 - Prob. 57E Ch. 7.1 - Prob. 58E Ch. 7.1 - Prob. 59E Ch. 7.1 - Prob. 60E Ch. 7.1 - Prob. 61E Ch. 7.1 - Prob. 62E Ch. 7.1 - Prob. 63PS Ch. 7.1 - Prob. 64PS Ch. 7.1 - Prob. 65PS Ch. 7.1 - Prob. 66PS Ch. 7.1 - Prob. 67PS Ch. 7.1 - Prob. 68PS Ch. 7.1 - Prob. 1P Ch. 7.1 - Prob. 2P Ch. 7.1 - Prob. 3P Ch. 7.1 - Prob. 4P Ch. 7.1 - Prob. 5P Ch. 7.1 - Prob. 6P Ch. 7.2 - Prob. 1GP Ch. 7.2 - Prob. 2GP Ch. 7.2 - Prob. 3GP Ch. 7.2 - Prob. 4GP Ch. 7.2 - Prob. 5GP Ch. 7.2 - Prob. 6GP Ch. 7.2 - Prob. 1E Ch. 7.2 - Prob. 2E Ch. 7.2 - Prob. 3E Ch. 7.2 - Prob. 4E Ch. 7.2 - Prob. 5E Ch. 7.2 - Prob. 6E Ch. 7.2 - Prob. 7E Ch. 7.2 - Prob. 8E Ch. 7.2 - Prob. 9E Ch. 7.2 - Prob. 10E Ch. 7.2 - Prob. 11E Ch. 7.2 - Prob. 12E Ch. 7.2 - Prob. 13E Ch. 7.2 - Prob. 14E Ch. 7.2 - Prob. 15E Ch. 7.2 - Prob. 16E Ch. 7.2 - Prob. 17E Ch. 7.2 - Prob. 18E Ch. 7.2 - Prob. 19E Ch. 7.2 - Prob. 20E Ch. 7.2 - Prob. 21E Ch. 7.2 - Prob. 22E Ch. 7.2 - Prob. 23E Ch. 7.2 - Prob. 24E Ch. 7.2 - Prob. 25E Ch. 7.2 - Prob. 26E Ch. 7.2 - Prob. 27E Ch. 7.2 - Prob. 28E Ch. 7.2 - Prob. 29E Ch. 7.2 - Prob. 30E Ch. 7.2 - Prob. 31E Ch. 7.2 - Prob. 32E Ch. 7.2 - Prob. 33E Ch. 7.2 - Prob. 34E Ch. 7.2 - Prob. 35E Ch. 7.2 - Prob. 36E Ch. 7.2 - Prob. 37E Ch. 7.2 - Prob. 38E Ch. 7.2 - Prob. 39E Ch. 7.2 - Prob. 40E Ch. 7.2 - Prob. 41E Ch. 7.2 - Prob. 42E Ch. 7.2 - Prob. 43E Ch. 7.2 - Prob. 44E Ch. 7.2 - Prob. 45E Ch. 7.2 - Prob. 46E Ch. 7.2 - Prob. 47E Ch. 7.2 - Prob. 48E Ch. 7.2 - Prob. 49E Ch. 7.2 - Prob. 50E Ch. 7.2 - Prob. 51E Ch. 7.2 - Prob. 52E Ch. 7.2 - Prob. 53E Ch. 7.2 - Prob. 54E Ch. 7.2 - Prob. 55E Ch. 7.2 - Prob. 56E Ch. 7.2 - Prob. 57E Ch. 7.2 - Prob. 58E Ch. 7.2 - Prob. 59E Ch. 7.2 - Prob. 60E Ch. 7.2 - Prob. 61E Ch. 7.2 - Prob. 62E Ch. 7.2 - Prob. 63PS Ch. 7.2 - Prob. 64PS Ch. 7.2 - Prob. 65PS Ch. 7.2 - Prob. 66PS Ch. 7.2 - Prob. 67PS Ch. 7.2 - Prob. 68PS Ch. 7.2 - Prob. 69PS Ch. 7.3 - Prob. 1GP Ch. 7.3 - Prob. 2GP Ch. 7.3 - Prob. 3GP Ch. 7.3 - Prob. 4GP Ch. 7.3 - Prob. 5GP Ch. 7.3 - Prob. 6GP Ch. 7.3 - Prob. 7GP Ch. 7.3 - Prob. 8GP Ch. 7.3 - Prob. 1E Ch. 7.3 - Prob. 2E Ch. 7.3 - Prob. 3E Ch. 7.3 - Prob. 4E Ch. 7.3 - Prob. 5E Ch. 7.3 - Prob. 6E Ch. 7.3 - Prob. 7E Ch. 7.3 - Prob. 8E Ch. 7.3 - Prob. 9E Ch. 7.3 - Prob. 10E Ch. 7.3 - Prob. 11E Ch. 7.3 - Prob. 12E Ch. 7.3 - Prob. 13E Ch. 7.3 - Prob. 14E Ch. 7.3 - Prob. 15E Ch. 7.3 - Prob. 16E Ch. 7.3 - Prob. 17E Ch. 7.3 - Prob. 18E Ch. 7.3 - Prob. 19E Ch. 7.3 - Prob. 20E Ch. 7.3 - Prob. 21E Ch. 7.3 - Prob. 22E Ch. 7.3 - Prob. 23E Ch. 7.3 - Prob. 24E Ch. 7.3 - Prob. 25E Ch. 7.3 - Prob. 26E Ch. 7.3 - Prob. 27E Ch. 7.3 - Prob. 28E Ch. 7.3 - Prob. 29E Ch. 7.3 - Prob. 30E Ch. 7.3 - Prob. 31E Ch. 7.3 - Prob. 32E Ch. 7.3 - Prob. 33E Ch. 7.3 - Prob. 34E Ch. 7.3 - Prob. 35E Ch. 7.3 - Prob. 36E Ch. 7.3 - Prob. 37E Ch. 7.3 - Prob. 38E Ch. 7.3 - Prob. 39E Ch. 7.3 - Prob. 40E Ch. 7.3 - Prob. 41E Ch. 7.3 - Prob. 42E Ch. 7.3 - Prob. 43E Ch. 7.3 - Prob. 44E Ch. 7.3 - Prob. 45E Ch. 7.3 - Prob. 46E Ch. 7.3 - Prob. 47E Ch. 7.3 - Prob. 48E Ch. 7.3 - Prob. 49E Ch. 7.3 - Prob. 50E Ch. 7.3 - Prob. 51E Ch. 7.3 - Prob. 52E Ch. 7.3 - Prob. 53E Ch. 7.3 - Prob. 54E Ch. 7.3 - Prob. 55E Ch. 7.3 - Prob. 56E Ch. 7.3 - Prob. 57PS Ch. 7.3 - Prob. 58PS Ch. 7.3 - Prob. 59PS Ch. 7.3 - Prob. 60PS Ch. 7.3 - Prob. 61PS Ch. 7.3 - Prob. 62PS Ch. 7.3 - Prob. 1Q Ch. 7.3 - Prob. 2Q Ch. 7.3 - Prob. 3Q Ch. 7.3 - Prob. 4Q Ch. 7.3 - Prob. 5Q Ch. 7.3 - Prob. 6Q Ch. 7.3 - Prob. 7Q Ch. 7.3 - Prob. 8Q Ch. 7.3 - Prob. 9Q Ch. 7.3 - Prob. 10Q Ch. 7.3 - Prob. 11Q Ch. 7.3 - Prob. 12Q Ch. 7.3 - Prob. 13Q Ch. 7.3 - Prob. 14Q Ch. 7.3 - Prob. 15Q Ch. 7.3 - Prob. 16Q Ch. 7.3 - Prob. 1MRPS Ch. 7.3 - Prob. 2MRPS Ch. 7.3 - Prob. 3MRPS Ch. 7.3 - Prob. 4MRPS Ch. 7.3 - Prob. 5MRPS Ch. 7.3 - Prob. 6MRPS Ch. 7.3 - Prob. 7MRPS Ch. 7.3 - Prob. 8MRPS Ch. 7.3 - Prob. 1DC Ch. 7.3 - Prob. 2DC Ch. 7.4 - Prob. 1GP Ch. 7.4 - Prob. 2GP Ch. 7.4 - Prob. 3GP Ch. 7.4 - Prob. 4GP Ch. 7.4 - Prob. 5GP Ch. 7.4 - Prob. 6GP Ch. 7.4 - Prob. 7GP Ch. 7.4 - Prob. 8GP Ch. 7.4 - Prob. 1E Ch. 7.4 - Prob. 2E Ch. 7.4 - Prob. 3E Ch. 7.4 - Prob. 4E Ch. 7.4 - Prob. 5E Ch. 7.4 - Prob. 6E Ch. 7.4 - Prob. 7E Ch. 7.4 - Prob. 8E Ch. 7.4 - Prob. 9E Ch. 7.4 - Prob. 10E Ch. 7.4 - Prob. 11E Ch. 7.4 - Prob. 12E Ch. 7.4 - Prob. 13E Ch. 7.4 - Prob. 14E Ch. 7.4 - Prob. 15E Ch. 7.4 - Prob. 16E Ch. 7.4 - Prob. 17E Ch. 7.4 - Prob. 18E Ch. 7.4 - Prob. 19E Ch. 7.4 - Prob. 20E Ch. 7.4 - Prob. 21E Ch. 7.4 - Prob. 22E Ch. 7.4 - Prob. 23E Ch. 7.4 - Prob. 24E Ch. 7.4 - Prob. 25E Ch. 7.4 - Prob. 26E Ch. 7.4 - Prob. 27E Ch. 7.4 - Prob. 28E Ch. 7.4 - Prob. 29E Ch. 7.4 - Prob. 30E Ch. 7.4 - Prob. 31E Ch. 7.4 - Prob. 32E Ch. 7.4 - Prob. 33E Ch. 7.4 - Prob. 34E Ch. 7.4 - Prob. 35E Ch. 7.4 - Prob. 36E Ch. 7.4 - Prob. 37PS Ch. 7.4 - Prob. 38PS Ch. 7.4 - Prob. 39PS Ch. 7.4 - Prob. 40PS Ch. 7.4 - Prob. 41PS Ch. 7.4 - Prob. 42PS Ch. 7.4 - Prob. 1DC Ch. 7.4 - Prob. 2DC Ch. 7.4 - Prob. 3DC Ch. 7.4 - Prob. 4DC Ch. 7.5 - Prob. 1GP Ch. 7.5 - Prob. 2GP Ch. 7.5 - Prob. 3GP Ch. 7.5 - Prob. 4GP Ch. 7.5 - Prob. 5GP Ch. 7.5 - Prob. 6GP Ch. 7.5 - Prob. 7GP Ch. 7.5 - Prob. 8GP Ch. 7.5 - Prob. 9GP Ch. 7.5 - Prob. 10GP Ch. 7.5 - Prob. 11GP Ch. 7.5 - Prob. 12GP Ch. 7.5 - Prob. 1E Ch. 7.5 - Prob. 2E Ch. 7.5 - Prob. 3E Ch. 7.5 - Prob. 4E Ch. 7.5 - Prob. 5E Ch. 7.5 - Prob. 6E Ch. 7.5 - Prob. 7E Ch. 7.5 - Prob. 8E Ch. 7.5 - Prob. 9E Ch. 7.5 - Prob. 10E Ch. 7.5 - Prob. 11E Ch. 7.5 - Prob. 12E Ch. 7.5 - Prob. 13E Ch. 7.5 - Prob. 14E Ch. 7.5 - Prob. 15E Ch. 7.5 - Prob. 16E Ch. 7.5 - Prob. 17E Ch. 7.5 - Prob. 18E Ch. 7.5 - Prob. 19E Ch. 7.5 - Prob. 20E Ch. 7.5 - Prob. 21E Ch. 7.5 - Prob. 22E Ch. 7.5 - Prob. 23E Ch. 7.5 - Prob. 24E Ch. 7.5 - Prob. 25E Ch. 7.5 - Prob. 26E Ch. 7.5 - Prob. 27E Ch. 7.5 - Prob. 28E Ch. 7.5 - Prob. 29E Ch. 7.5 - Prob. 30E Ch. 7.5 - Prob. 31E Ch. 7.5 - Prob. 32E Ch. 7.5 - Prob. 33E Ch. 7.5 - Prob. 34E Ch. 7.5 - Prob. 35E Ch. 7.5 - Prob. 36E Ch. 7.5 - Prob. 37E Ch. 7.5 - Prob. 38E Ch. 7.5 - Prob. 39E Ch. 7.5 - Prob. 40E Ch. 7.5 - Prob. 41E Ch. 7.5 - Prob. 42E Ch. 7.5 - Prob. 43PS Ch. 7.5 - Prob. 44PS Ch. 7.5 - Prob. 45PS Ch. 7.5 - Prob. 46PS Ch. 7.5 - Prob. 47PS Ch. 7.5 - Prob. 48PS Ch. 7.5 - Prob. 1Q Ch. 7.5 - Prob. 2Q Ch. 7.5 - Prob. 3Q Ch. 7.5 - Prob. 4Q Ch. 7.5 - Prob. 5Q Ch. 7.5 - Prob. 6Q Ch. 7.5 - Prob. 7Q Ch. 7.5 - Prob. 8Q Ch. 7.5 - Prob. 9Q Ch. 7.5 - Prob. 10Q Ch. 7.5 - Prob. 11Q Ch. 7.5 - Prob. 12Q Ch. 7.5 - Prob. 13Q Ch. 7.5 - Prob. 14Q Ch. 7.5 - Prob. 15Q Ch. 7.5 - Prob. 16Q Ch. 7.5 - Prob. 17Q Ch. 7.5 - Prob. 18Q Ch. 7.5 - Prob. 19Q Ch. 7.5 - Prob. 1P Ch. 7.5 - Prob. 2P Ch. 7.5 - Prob. 3P Ch. 7.5 - Prob. 4P Ch. 7.5 - Prob. 5P Ch. 7.5 - Prob. 6P Ch. 7.5 - Prob. 1.1P Ch. 7.5 - Prob. 1.2P Ch. 7.5 - Prob. 1.3P Ch. 7.5 - Prob. 1.4P Ch. 7.5 - Prob. 1.5P Ch. 7.5 - Prob. 1.6P Ch. 7.5 - Prob. 1.7P Ch. 7.5 - Prob. 1.8P Ch. 7.5 - Prob. 1.9P Ch. 7.5 - Prob. 1.10P Ch. 7.5 - Prob. 1.11P Ch. 7.5 - Prob. 1.12P Ch. 7.5 - Prob. 1MRPS Ch. 7.5 - Prob. 2MRPS Ch. 7.5 - Prob. 3MRPS Ch. 7.5 - Prob. 4MRPS Ch. 7.5 - Prob. 5MRPS Ch. 7.5 - Prob. 6MRPS Ch. 7.5 - Prob. 7MRPS Ch. 7.5 - Prob. 8MRPS Ch. 7.5 - Prob. 9MRPS Ch. 7 - Prob. 1VE Ch. 7 - Prob. 2VE Ch. 7 - Prob. 3VE Ch. 7 - Prob. 4VE Ch. 7 - Prob. 5REAE Ch. 7 - Prob. 6REAE Ch. 7 - Prob. 7REAE Ch. 7 - Prob. 8REAE Ch. 7 - Prob. 9REAE Ch. 7 - Prob. 10REAE Ch. 7 - Prob. 11REAE Ch. 7 - Prob. 12REAE Ch. 7 - Prob. 13REAE Ch. 7 - Prob. 14REAE Ch. 7 - Prob. 15REAE Ch. 7 - Prob. 16REAE Ch. 7 - Prob. 17REAE Ch. 7 - Prob. 18REAE Ch. 7 - Prob. 19REAE Ch. 7 - Prob. 20REAE Ch. 7 - Prob. 21REAE Ch. 7 - Prob. 22REAE Ch. 7 - Prob. 23REAE Ch. 7 - Prob. 24REAE Ch. 7 - Prob. 25REAE Ch. 7 - Prob. 26REAE Ch. 7 - Prob. 27REAE Ch. 7 - Prob. 28REAE Ch. 7 - Prob. 29REAE Ch. 7 - Prob. 30REAE Ch. 7 - Prob. 31REAE Ch. 7 - Prob. 32REAE Ch. 7 - Prob. 33REAE Ch. 7 - Prob. 34REAE Ch. 7 - Prob. 35REAE Ch. 7 - Prob. 36REAE Ch. 7 - Prob. 37REAE Ch. 7 - Prob. 38REAE Ch. 7 - Prob. 1T Ch. 7 - Prob. 2T Ch. 7 - Prob. 3T Ch. 7 - Prob. 4T Ch. 7 - Prob. 5T Ch. 7 - Prob. 6T Ch. 7 - Prob. 7T Ch. 7 - Prob. 8T Ch. 7 - Prob. 9T Ch. 7 - Prob. 10T Ch. 7 - Prob. 11T Ch. 7 - Prob. 12T Ch. 7 - Prob. 13T Ch. 7 - Prob. 14T Ch. 7 - Prob. 15T Ch. 7 - Prob. 16T Ch. 7 - Prob. 17T Ch. 7 - Prob. 18T Ch. 7 - Prob. 19T Ch. 7 - Prob. 20T Ch. 7 - Prob. 21T Ch. 7 - Prob. 22T Ch. 7 - Prob. 23T Ch. 7 - Prob. 24T Ch. 7 - Prob. 25T Ch. 7 - Prob. 26T Ch. 7 - Prob. 27T Ch. 7 - Prob. 28T Ch. 7 - Prob. 29T Ch. 7 - Prob. 30T Ch. 7 - Prob. 31T Ch. 7 - Prob. 32T Ch. 7 - Prob. 33T Ch. 7 - Prob. 1P Ch. 7 - Prob. 2P Ch. 7 - Prob. 1TP Ch. 7 - Prob. 2TP Ch. 7 - Prob. 3TP Ch. 7 - Prob. 4TP Ch. 7 - Prob. 5TP Ch. 7 - Prob. 6TP Ch. 7 - Prob. 7TP Ch. 7 - Prob. 8TP Ch. 7 - Prob. 9TP Ch. 7 - Prob. 10TP Ch. 7 - Prob. 11TP Ch. 7 - Prob. 12TP Ch. 7 - Prob. 13TP Ch. 7 - Prob. 14TP Ch. 7 - Prob. 15TP Ch. 7 - Prob. 16TP Ch. 7 - Prob. 17TP Ch. 7 - Prob. 18TP Ch. 7 - Prob. 19TP Ch. 7 - Prob. 20TP

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