<u>Answer:
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The diameter of a sphere is 6ft 6in. The radius of sphere is 3 feet 3 inches.
<u>Solution:
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Given that the diameter of sphere is 6 feet 6 inches.
We have to find the radius of the sphere.
The relation between diameter and radius of sphere is given as

Therefore, 

Radius = 3 feet 3 inches.
Hence the radius of the sphere is 3 feet 3 inches.
Answer:
hii
Step-by-step explanation:
Answer:
1) 8x
2) 12x - 3y
Step-by-step explanation:
1) Both of them have a like term, so you can subtract them across
2) 10x + 2x = 12x, have a like term so you can add them across and 3y is the outlier so that stays alone.
Hope this helps!
The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width.
Area = Length x Height
Area = (20 in) x (14 in)
Area = 280 in²
We are given that the area is only equal to 192 in². We subtract this value from the computed area.
Difference = 280 in² - 192 in²
difference = 88 in²
This area is equal to the area of the hollow space inside the frame. That is equal to,
height = 20 in - 2x
length = 14 in - 2x
The area,
88 = (20 - 2x)(14 - 2x)
Simplify the right hand side of the equation.
88 = 280 - 68x + 4x²
Divide the equation by 4,
22 = 70 - 17x + x²
Transposing,
x² - 17x - 48 = 0
The factors of the equation is 58.2.
Thus, the thickenss is equal to 58.2 in
The problem tells you that a circle with radius 21 inches is painted in two colors. The two colors cover equal areas, so each color is half the area of the circle. You need to find half of the area of the circle. To do that, use the formula for the area of a circle, and then divide by 2.



Half the circle has area 1384.74 square inches / 2 = 692.37 square inches.
Answer: Each color covers 692.37 square inches.