Answer:
Socratic app
Step-by-step explanation:
it will help you
Answer:
The volume = 523.3 ft.³
Step-by-step explanation:
∵ Surface area of the sphere = 4πr²
∴ 4πr² = 100π
∴ 4r² = 100 ⇒ r² = 100/4 = 25
∴ r = √25 = 5 ft.
∵ Its volume = 4/3 πr³
∴ Its volume = (4/3) × π × 5³ = 523.3 ft.³
This can be displayed as a system of equations.
x = 3 + 5y
x - y = 11
Because we have a value of x we can plug it into the value of x in the second equation.
(3 + 5y) - y = 11
3 + 5y - y = 11
Combine like terms.
3 + 4y = 11
Subtract 3 from both sides.
4y = 8
Divide both sides by 4.
y = 2
Now that we have a constant value for y, we can replace the value of y in the second equation with 2 to solve for x.
x - 2 = 11
Add 2 to both sides.
x = 13
Now, let's verify.
13 = 3 + 5(2)
13 = 3 + 10
13 = 13 √ this is correct.
13 - 2 = 11
11 = 11 √ this is correct.
The first number, or x, is equal to 13.
The second number, or y, is equal to 2.
2 1/3 + 1 3/4 = 4 1/12
4 1/12 miles in total.
Dang this is hard. I think it is x=22 but I could be wrong. :o