9514 1404 393
Answer:
V = (2/3)(11)
Step-by-step explanation:
The given cylinder has a height of 2r, so its volume is ...
V = πr²(2r) = 2πr³
The volume of a sphere is given by ...
V = 4/3πr³
Then the ratio of the volume of the sphere to the volume of the cylinder is ...
(4/3πr³)/(2πr³) = (4/3)/2 = 2/3
So, the volume of the sphere is 2/3 times the volume of the cylinder:
V = (2/3)(11)
Answer:

Step-by-step explanation:
Exponent Rules: 
Exponent Rules: 
Step 1: Write expression
![\frac{\sqrt[4]{x^3} }{x^{\frac{1}{12} }}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7Bx%5E3%7D%20%7D%7Bx%5E%7B%5Cfrac%7B1%7D%7B12%7D%20%7D%7D)
Step 2: Rewrite radical

Step 3: Multiply powers (numerator)

Step 4: Subtract powers

ANSWER
Yes, the two expressions are equivalent.
The identity property of multiplication.
EXPLANATION
The identity element for multiplication of real numbers is 1.
This means that, if you multiply any real number by 1, you get the same real number
The given expression is,

These two expressions are equivalent.
The property that is applied is the identity property of multiplication.
im pretty sure it's the first option.
Answer:

Step-by-step explanation:
This triangle is a 45-45-90 triangle.
By using the image I posted, we can find x easily.
So, we have
as one of the sides.
They hypotenuse, which is x is just 
Simplify and we get x = 