Answer:
The portion of the volume of the cup that is filled with water is 
Step-by-step explanation:
step 1
Find the volume of the paper water cup
The volume of the cone is equal to

we have


substitute


step 2
If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water
Remember that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
In this problem the similar cone has half the height of the complete cone
so
The scale factor is equal to 1/2
therefore
The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

therefore
The portion of the volume of the cup that is filled with water is

Answer:
x=25
Step-by-step explanation:
First, we add all like terms. Then, we solve for x.

We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.
Look at the corresponding angle to 82, which is to the left of line b
It also measures 82 according to "corresponding angle theorem"
Then
angle x is equal to it as they are vertical pair of angle
so that, the measure of x equals 82 degree
I hope that helps
Answer:
C. 500 ft
Step-by-step explanation:
If we want to make it all equal, we can divide the 2,000 ft by 4 because we have 4 equal descents.
2000 ÷ 4 = 500
He should travel <u>500 feet</u> in each descent.