Answer: 
Step-by-step explanation:
The missing figure is attached.
The volume of an oblique cylinders and the volume of a right cylinder can be found with this formula:
Where "r" is the radius and "h" is the height.
The volume of an oblique cone and the volume of a right cone can be found with this formula:
Where "r" is the radius and "h" is the height.
According to the information given in the exercise, you know that the volume of the cylinder and also the radius of the cylinder and the cone ,are the following:
Therefore, in order to find the volume of the cone, you only need to multiply the volume of the cylinder by 
.
Then, you get:
Answer:
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Let
r ---> the radius of the sector
s ---> the arc length of sector
Find the radius r
we know that
solve for r
step 2
Find the value of s
substitute the value of r
step 3
we know that
The area of complete circle is equal to
The complete circle subtends a central angle of 2π radians
so
using proportion find the area of the sector by a central angle of angle theta
Let
A ---> the area of sector with central angle theta
substitute the value of r
Convert to function notation
<h3>
Answer:</h3>
a. -(3√13)/13
<h3>
Step-by-step explanation:</h3>
The cosine can be found from the tangent by way of the secant.
tan(θ)² +1 = sec(θ)² = 1/cos(θ)²
Then ...
cos(θ) = ±1/√(tan(θ)² +1)
The <em>cosine is negative in the second quadrant</em>, so we will choose that sign.
cos(θ) = -1/√((-2/3)² +1) = -1/√(4/9 +1) = -1/√(13/9)
cos(θ) = -3/√13 = -(3√13)/13 . . . . . matches your selection A
We have to find the GCD between 10, 16 and 4 and between x^5, x^4 and x^2
GCD (10,16,4) = 2
GCD (x^5,x^4,x^2) = x^2
So we divide all terms for 2x^2
Final result: 2x^2(5x^3-8x^2+2)
