Answer:
168
Step-by-step explanation:
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:
1/7, 14.3%
Step-by-step explanation:
Since out of the 7 numbers, only one of them is 3
Therefore only 1/7 meet the standards, in percent form it is 14.3%
To solve the problem you must find the area of every square. For F one of the squares has a side length of 3 and because this is a square the other sides are also 3. To find the area we multiply two of the sides so 3 times 3 is 9
You do this with both the other squares
3*3=9
4*4=16
The area of the large square is given as 25
So 9+16=25 which means this is not the correct answer
H.
9*9=81
Given as 144
The area of the large square is 21*21 which is 441
144+81= 225
So because the two small squares DO NOT equal the area of the large square this is the correct answer.
<u>Answer:</u>
The point-slope equation of the line is
or 
<u>Solution:
</u>
Let us assume that the slope is m and the y intercept of the line is b
Hence,
--------- (i)
y intercept means we need to find the value of y when x is 0
Here the line passes through point (4,-6) and slope m = (-2)
Now putting the point (4,-6) in equation (i) we get,





So, the equation of the line will be will be
or 