C = 2πr
141.3 = 2(3.14)r
141.3 = 6.28r
22.5 = r
Using a proportional relationship, we have that:
- a) The constant of proportionality is of 0.625, hence the equation is:
.
- b) The distance of two cities that are 5 miles apart is of 8 kilometers.
- c) When they are 200 kilometers apart, we have that the distance in miles is of
.
<h3>What is a proportional relationship?</h3>
- A <em>proportional relationship</em> is a function in which the <u>output variable is given by the input variable multiplied by a constant of proportionality</u>, that is:.

- In which k is the constant of proportionality.
Item a:
From the graph, when x = 8, y = 5, hence:




The constant of proportionality is of 0.625, hence the equation is:
.
Item b:
From the graph, when y = 5, x = 8, hence:
- The distance of two cities that are 5 miles apart is of 8 kilometers.
Item c:
When they are 200 kilometers apart, we have that the distance in miles is of
.
You can learn more about proportional relationship at brainly.com/question/13550871
Answer:
- 3108
Step-by-step explanation:
The sum to n terms of an arithmetic series is
=
[ 2
+ (n - 1)d ]
Substitute the given values into the formula
=
[ (2 × - 26) + (23 × - 9) ]
= 12 ( - 52 - 207 )
= 12 × - 259 = - 3108
The set of whole numbers that share the common multiples of 2,520 and 3,780 are: 35, 105, and 315.
To get these sets of whole numbers, you have to decompose 2520 and 3780 by using decomposition method or the continuous division.
See attached file.