9514 1404 393
Answer:
34.6 ft
Step-by-step explanation:
The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...
a² + b² = c²
a = √(c² -b²)
base-to-string = √(39² -18²) = √1197 ≈ 34.598
The distance from the base of the pole to the end of the string is about 34.6 feet.
A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where

.
In answer a,

, so it is a direct variation.
In answer c,

, so it is a direct variation.
In answer d,

, so it is a direct variation,
Only answer b is left, which means the answer must be 'b'.
We also know 'b' is the answer because it cannot be expressed as <span>

. Instead, it is expressed as </span>

, which is not the same thing and is therefore not a direct variation.
Hope I helped, and let me know if you have any questions :)
Answer:
Step-by-step explanation: We have to add how much time it took him to do all of his homework. To do this, we have to add 2/3 and 3/5.
First, we have to find a LCM between 3 and 5.
The LCM between those numbers are 15.
Next we find out what number to multiply 3 by to get 15, we multiply it by 5.
2 * 5 = 10
3 * 5 = 15
Next we find out what number to multiply 5 by to get 15, we multiply it by 3.
3 * 3 = 9
5 * 3 = 15
10/15+9/15=19/15
We are left off with 1 4/15
So it took him 1 hour and 4/15 minutes to do his homework.
Answer:
18
Step-by-step explanation:
To find the answer, multiply 24 by 3/4 or 0.75 to make it easier. 24 multiplied by 0.75 in a calculator is 18.