<h3>Volume of the cylinder:</h3>



<h3>Volume of the rectangular prism:</h3>



<h3>Total volume:</h3>


The numbers of choices in each category are multiplied together. We assume the order of paint choices matters: using color 1 in area A and color 2 in area B is not the same as using color 2 in area A and color 1 in area B.
P(7,2)*4*3*2 = 42*4*3*2 = 1008 ways
_____
P(n, k) = n!/(n-k)!
P(7, 2) = 7*6 = 42
Step-by-step explanation:
17². + 144²=x²
289 + 20736=x²
x²=21025
x =√21025
x=145
145 miles apart
Answer:
84
Step-by-step explanation:
<u>Order of operations (Parentheses first, exponents next, then multiplication, etc.)</u>
-3 * -2 = 6
<u>Multiply</u>
7 * 6 = 42
42 * 2 = 84
Answer:
On the highway, the cost to drive per mile is $2.21
Step-by-step explanation:
In the city the average distance per gallon is 15 miles
On the highway, he can drive 47% farther;
The distance he can cover on the highway per gallon will be;
15 + 47% of 15
= 15 + 0.47(15)
= 15 + 7.05 = 22.05
So on the highway, he can travel a distance of 22.05 miles
So the cost per mile on the highway would be;
$3.25 for 15 miles
$x for 22.05 miles
so we have the cost to drive per mile on the highway as;
(3.25 * 15)/22.05 = $2.21