Answer:
And for this case the value for the height is 
the diameter is provided 
so then the radius is given by:
Then we can find the volume with the first formula and replacing we got:
The final answer for this case would be 551.4 cubic inches
Step-by-step explanation:
The volume for a right circular cone is given by this formula:
And for this case the value for the height is the diameter is provided so then the radius is given by:
Then we can find the volume with the first formula and replacing we got:
The final answer for this case would be 551.4 cubic inches
Answers:
- The direct variation equation is y = 5x
- If x = 4, then y = 20
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Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
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Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.
25 and 65 because 90 and 90 makes a square
Answer:
Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:
Now that we have our equation, let's distribute the 
and the 
into the parentheses they are next to:
Combine like terms:
Subtract 
from both sides of the equation:
Divide by the coefficient of 
, which is 
:
~
Check your work by substituting 
into one of the equations above:
It's correct!
The last one because the base is a square
