Answer:
4
Step-by-step explanation:
The 1st cylinder used to fill the pitcher has:
height:
h = 9 in
radius:
r = r
The volume of a cylinder is given by:
![V=\pi r^2 h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%20h)
Therefore, the volume of the 1st cylinder is
![V=\pi r^2 9=9\pi r^2](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%209%3D9%5Cpi%20r%5E2)
We are told that the water inside this cylinder can fill a certain pitcher, so this is also the volume of the pitcher.
Then, we have a second cylinder, which has height
h = 9 in
and radius
r' = 2r
So the volume of this cylinder is
![V'=\pi r'^2 h = \pi (2r)^2 9 =9\pi (4r^2)=36\pi r^2](https://tex.z-dn.net/?f=V%27%3D%5Cpi%20r%27%5E2%20h%20%3D%20%5Cpi%20%282r%29%5E2%209%20%3D9%5Cpi%20%284r%5E2%29%3D36%5Cpi%20r%5E2)
This means that the number of pitchers that can be filled by this 2nd cylinder is
![n=\frac{V'}{V}=\frac{36\pi r^2}{9\pi r^2}=4](https://tex.z-dn.net/?f=n%3D%5Cfrac%7BV%27%7D%7BV%7D%3D%5Cfrac%7B36%5Cpi%20r%5E2%7D%7B9%5Cpi%20r%5E2%7D%3D4)
Answer:
I agree with the student's answer. "x" cannot be -2 because then it would make -20 which is not equal to 20:
5(-2)(2) = ?
-10 x 2 = ?
? = -20
-20 ≠ 20
Step-by-step explanation:
Justificaiton:
5(x)(2) = 20
10(x) = 20
10/10(x) = 20/10
x = 2
Second Justification:
5(x)(2) = 20
5/5(x)(2) = 20/5
2x = 4
2x/2 = 4/2
x = 2
Answer:
Im going to use the Pythagorean theorem.
a^2+b^2=c^2
Line AB is A, line CB is B, and line AC is C.
4^2+2^2=c^2
4^2=16 and 2^2=4
16+4=20^2=4.5
4.5 shoudl be your answer.
-Seth
The greatest common factor of 4,10, and 14 is 2