Answer:
a. 
b. 
c. 
Step-by-step explanation:
a.
b.
c.
The total fabric Morgan needs to cover the cushions will be 19.64 square feet.
It is given that each cushion has a circumference of 7.85 feet.
It is known that the circumference of a circle = 2πr, where 'r' is the radius of the circle.
2πr = 7.85
r = 1.25
<h3>What is an area of a circle?</h3>
area of a circle is πr².
now, we can calculate the area = π× 1.25² = 4.91 square feet
since each circular cushion has two circular faces so the total number of faces Morgan needs to cover will be 4.
Therefore, the total fabric needed= 4×4.91 = 19.64 square feet.
to get more about the area of a circle, refer to the link:
brainly.com/question/12069107
Option C: ![r = \sqrt[3]{\frac{3V}{4\pi} }](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%20%7D)
is the right answer
Step-by-step explanation:
Given formula for volume of a sphere is:
We have to make r the subject of the formula
Multiplying equation by 3/4
Dividing both sides by pi
Taking cube root on both sides
![\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%20%7D%20%3D%20%5Csqrt%5B3%5D%7Br%5E3%7D%20%5C%5C%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%20%7D)
Hence,
Option C: is the right answer
Keywords: Volume, Sphere
Learn more about volume at:
#LearnwithBrainly
Answer: 55
Step-by-step explanation:
90+35=125
180 is the total degrees of an angle so 180-125= 55
