<span>Let's called the train that traveled south train A, and the train that traveled east train B
After 3 hours, train A is 180 miles South
and Train B is 150 miles East
Using Pythagoras, distance between is sqrt(180^2 + 150^2)
30 sqrt(6^2 + 5^2) = 30sqrt(36 + 25) = 30sqrt 61 = 234.307 miles</span>
Answer:
The answer is $25,490
Step-by-step explanation:
We have been given 4 choices. We are asked to choose the volume that could belong to a cube with a side length that is an integer.
We know that volume of a cube is cube of each side length.
To solve our given problem, we will take cube root of each given value. The cube root of which value will be an integer that will be our correct choice.
A. 
![\sqrt[3]{s^3}=\sqrt[3]{18}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B18%7D)

Since cube root of 18 is not an integer, therefore, 18 is not a correct choice.
B. 
![\sqrt[3]{s^3}=\sqrt[3]{36}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B36%7D)

Since cube root of 36 is not an integer, therefore, 36 is not a correct choice.
C. 
![\sqrt[3]{s^3}=\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B64%7D)

Since cube root of 64 is 4 and 4 is an integer, therefore, 64 is the correct choice.
D. 
![\sqrt[3]{s^3}=\sqrt[3]{100}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B100%7D)

Since cube root of 100 is not an integer, therefore, 100 is not a correct choice.
I'm asuming you did a typo from a previous quesiton I see that it is a dollar sign
$12 per hour
for 15 hourse, just multiply $12 by 15 because per hour means per 1 hour
15 times $12=$180
answer is $180
Answer: 
Step-by-step explanation:
The perimeter of a rectangle can be calcualated with this formula:

Where "l" is the lenght and "h" is the height.
The area of a rectangle can be found with this formula:

Where "l" is the lenght and "h" is the height.
In this case we know that:

Therfore, we can susbsitute them into
and solve for "h" in order to find its value:

Find two number whose sum is 3 and whose product is -40. These are -5 and 8. Then, factorizing, we get:

The positive value is the height. Then:

Since the length is 3 centimeters greater than its height, we get that this is: Then:

Substituting values into
, we get that the perimeter is:
