Question:
Karina has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The cylindrical base is 15 inches tall with a diameter of 22 inches.
Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).
Answer:

Step-by-step explanation:
Given
-- height
-- diameter
Required
85% of the volume
First, calculate the radius


The volume (V) is then calculated using:



85% of the volume is:



16 mph is the answer I found after doing the work
Answer:
C
Step-by-step explanation:
To find the appropriate equation, notice the red graph has shifted up about 6 units. This means that
which is shifted by -3 will move 6 up. -3+6= 3. This means the function will have +3. Only B and C are options. Now test a point. Notice the red function crosses the y-axis at about 5 or 6 when x=0.

This function doesn't match.

This function matches. Option C is correct.
The value of sin(2x) is 
Explanation:
Given that 
The formula for
is 
Since, 
Also, it is given that 
Thus,
and 
To find the hypotenuse, let us use the pythagoras theorem,

Now, we can find the value of sin x and cos x.


Now, substituting these values in the formula for sin 2x, we get,

Thus, the value of sin(2x) is 