Answer:
I think it is the answer of it
Step-by-step explanation:
(x + 20)º and (4x - 5)º are supplementary angles, meaning the sum of their angles = 180º.
(x + 20) + (4x - 5) = 180
5x + 20 - 5 = 180
5x + 15 = 180
5x = 165
165/5 = 33
Answer: x = 33
The original volume of the ballon, with radius r, is given by
V₀ = (4/3)πr³ in²
If the radius increases to (r+5) because of air input, the new volume is
V₁ = (4/3)π (r+5)³ in²
The difference in volume is the amount of air used to inflate the balloon.
The volume of air is
V = V₁ - V₀
= (4/3)π [r³ + 3r²(5) + 3r(5²) + 5³ - r³]
= (4/3)π (15r² + 75r + 125) in³
Answer: (4/3)π (15r² + 75r + 125) in³