So you will need to find the height, and we can do so by using the pythagorean theorem, which is 
. Using this formula, we can make the equation 
Firstly, solve the exponents: 
Next, subtract 225 on both sides: 
Lastly, square root both sides, and your answer is h = 20.
Now that we got the height, we can solve for the volume, which is 
. Using this formula, we can form our equation to be 
Firstly, solve the exponent: 
Next, multiply 225 and 20/3, and your answer will be V = 1500π, or the third option.
Answer:
(g ￮ f)(- 5) = 4
Step-by-step explanation:
evaluate f(- 5) then substitute the value obtained into g(x)
f(- 5) = (- 5)² + 6(- 5) + 3 = 25 - 30 + 3 = - 2 , then
g(- 2) = 2(- 2) + 8 = - 4 + 8 = 4
(g ￮ f)(- 5) = 4
We are given expression for cost of admission at an amusement park : 15a+12c.
Where a is the number of adults and
c is the number of children.
We need to find the total cost of 5 adults and for 10 children.
<em>In order to find the total cost of 5 adults and for 10 children, we need to plug a=5 and c=10 in 15a+12c expression.</em>
Plugging a=5 and c=10 in 15a+12c expression, we get
15(5) + 12(10) = 75 + 120 = $195.
<h3>Therefore, the total cost for 5 adults and for 10 children is $195.</h3>
We just need to subtract the total miles he has already rode from the total miles of the path.
12.25-11.5
0.75
So, he must bike 3/4 miles to reach the end.
