Question:
Which is equivalent to
after it has been simplified completely?
Answer:

Step-by-step explanation:
Given

Required
Simplify
We start by splitting the square root

Replace 180 with 36 * 5

Further split the square roots


Replace power of x; 11 with 10 + 1

From laws of indices; 
So, we have


Further split the square roots

From laws of indices; 
So, we have



Rearrange Expression


From laws of indices; 
So, we have



<em>The expression can no longer be simplified</em>
Hence,
is equivalent to 
I wrote process on this picture I hope it’ll helpful to you
(1/3) × the cone's volume = The cylinder's volume.
Step-by-step explanation:
Step 1:
The volume of any cone is obtained by multiplying
with π, the square of the radius (
) and the height (
).
So the volume of the cone,
.
Step 2:
The cylinder's volume is nearly the same as the cone but instead by multiplying
we multiply with 1.
So the cylinder's volume is determined by multiplying π with the square of the radius of the cylinder (
) and the height of the cylinder (
).
So the the cone's volume,
.
Step 3:
Now we equate both the volumes to each other.
The cone's volume : The cylinder's volume =
=
.
So if we multiply the cone's volume with
we will get the cylinder's volume with the same dimensions.
One of them is 30 degrees and the other is 60 degrees
Answer:
Alternate interior
Step-by-step explanation: