Answer:
0
Step-by-step explanation:
<h3>
Answer:</h3>
- 21π(10)^2 – 21π(6)^2
- 2,100π – 756π
<h3>
Step-by-step explanation:</h3>
The volume of metal is the difference of the overall volume of the cylinder and the volume of the hole in it. The formula for the volume of a cylinder is ...
... V = π·r^2·h . . . . . radius r and height h
For the overall dimensions, the radius is half the diameter, so is 10 mm. The hole is said to have a radius of 6 mm. The overall "height" is 21 mm, so the volume in mm³ will be ...
... V_overall -V_hole = π(10)^2(21) -π(6)^2(21)
... = 21π·10^2 -21π·6^2 . . . . . . . matches the first selection
... = 2100π -756π . . . . . . . . . . . matches the third selection
... = 1344π . . . . . . . . . . . . . . . . doesnt' match any selection
Answer:5/3
Step-by-step explanation:
choose two coordinates (40,0) and (70,50) then use y2-y1/x2-x1. when you plug the numbers in 50-0/70-40, subtract 50/30, and simplify, you get 5/3
The answer is: 
<u><em>Explanation</em></u>
Given functions are.......


For finding
, we just <u>need to multiply the two functions</u>
and
. So......
![(f*g)(x)= f(x)*g(x)\\ \\ (f*g)(x)= (x^2-7x+12)(\frac{3}{x^2-16})\\ \\ (f*g)(x)= [(x-3)(x-4)][\frac{3}{(x+4)(x-4)}]\\ \\ (f*g)(x)= \frac{3(x-3)}{x+4} = \frac{3x-9}{x+4}](https://tex.z-dn.net/?f=%28f%2Ag%29%28x%29%3D%20f%28x%29%2Ag%28x%29%5C%5C%20%5C%5C%20%28f%2Ag%29%28x%29%3D%20%28x%5E2-7x%2B12%29%28%5Cfrac%7B3%7D%7Bx%5E2-16%7D%29%5C%5C%20%5C%5C%20%28f%2Ag%29%28x%29%3D%20%5B%28x-3%29%28x-4%29%5D%5B%5Cfrac%7B3%7D%7B%28x%2B4%29%28x-4%29%7D%5D%5C%5C%20%5C%5C%20%28f%2Ag%29%28x%29%3D%20%5Cfrac%7B3%28x-3%29%7D%7Bx%2B4%7D%20%3D%20%5Cfrac%7B3x-9%7D%7Bx%2B4%7D)
Answer:3.14
Step-by-step explanation:Pi goes inf