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
- In simplest terms and step by step For each quadratic relation, find the zeros and the maximum or minimum. 1) y = - 2 x2 - 28 x + 64 2) y = 6 x2 + 36 x - 42arrow_forwardWrite each relation in standard form a)y = 5(x + 10)2 + 7 b)y = 9(x - 8)2 - 4arrow_forwardIn simplest form and step by step Write the quadratic relation in standard form, then fi nd the zeros. y = 3(x - 1)2 - 147arrow_forward
- Step by step instructions The path of a soccer ball can be modelled by the relation h = - 0.1 d 2 + 0.5 d + 0.6, where h is the ball’s height and d is the horizontal distance from the kicker. a) Find the zeros of the relation.arrow_forwardIn simplest terms and step by step how do you find the zeros of y = 6x2 + 24x - 192arrow_forwardStep by step Find the zeros of each quadratic relation. a) y = x2 - 16xarrow_forward
- In simplest step by step terms, how do you find the zeros of y = x2 - 16arrow_forwardIn simplest terms, Describe the shape and position of the parabola relative to the graph of y = x 2 y = - 80( x + 9) 2 + 10.8arrow_forwardas a Identify each equation Parabola, circle, ellipse perbola without completio the square. x²-6x-14 y = 33-y² 14y ofarrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





