Answer:
in terms or pi
simplified
Step-by-step explanation:
To solve this, we are using the Cylinder's volume formula:
![V=\pi r^{2} h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7D%20h)
where
is the volume of the cylinder
is the radius of the cylinder
Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius:
. Now, 9 1/2 inches is 9 and a half inches, so
.
Replacing values:
![V=\pi (4in)^{2} (9.5in)](https://tex.z-dn.net/?f=V%3D%5Cpi%20%284in%29%5E%7B2%7D%20%289.5in%29)
![V=\pi (16in^{2})(9.5in)](https://tex.z-dn.net/?f=V%3D%5Cpi%20%2816in%5E%7B2%7D%29%289.5in%29)
![V=152\pi in^{2}](https://tex.z-dn.net/?f=V%3D152%5Cpi%20in%5E%7B2%7D)
![V=477.52in^{2}](https://tex.z-dn.net/?f=V%3D477.52in%5E%7B2%7D)
We can conclude that the volume of our cylinder is
in terms of pi, or
simplified.
Let
be the amount (gal) of the 40% slime solution you end up using. You want to end up with 120 gal of the 50% solution, so that you would use
gal of the 70% solution.
You want the final solution to consist of 50% slime, or 60 gal of slime. Each gal of the 40% solution contributes 0.4 gal of slime, while each gal of the 70% solution contributes 0.7 gal of slime. This means
![0.4x+0.7(120-x)=0.5\cdot120=60](https://tex.z-dn.net/?f=0.4x%2B0.7%28120-x%29%3D0.5%5Ccdot120%3D60)
![\implies0.4x+84-0.7x=60](https://tex.z-dn.net/?f=%5Cimplies0.4x%2B84-0.7x%3D60)
![\implies24=0.3x](https://tex.z-dn.net/?f=%5Cimplies24%3D0.3x)
![\implies x=80](https://tex.z-dn.net/?f=%5Cimplies%20x%3D80)
so the answer is B.
Answer:
When the shape reflects about the x-axis, the x-coordinate is unchanged but the y-coordinate becomes negative. When the shape reflects about the y-axis, the y-coordinate is unchanged but the x-coordinate becomes negative.
Step-by-step explanation:
Directly from edmentum
Answer:
do you have any answer options
Answer: it is b
Step-by-step explanation:
i just took the test