Answer: 46.90mins
Step-by-step explanation:
The given data:
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.
Solution:
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon
= 4/3 × 3.14 × 55³
= 696556.67 ft³
When the volume 2/3 the maximum volume
= 2/3 × 696556.67 ft³
= 464371.11 ft³
The radius, r₂ at the point is
= 4/3·π·r₂³
= 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4
= 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the
above length
Time taken for the radius to increase the length.
= is 70.369 ft/(1.5 ft/min)
= 46.90 minutes
46.90mins is the time taken to inflate the balloon.
Answer:
B.
no real solutions
Step-by-step explanation:
2(x + 11) + 5x = 7x - 22
Distribute
2x+22 +5x = 7x -22
Combine like terms
7x +22 = 7x-22
Subtract 7x from each side
7x-7x+22 = 7x-7x-22
22 = -22
This is never true so there are no solutions
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The answer is here:
D. None of the choices above must be true (Or it might be A.he team must have scored 10 runs in at least one of the games)
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Answer:
Step-by-step explanation:
Cos(Q) = adjacent to Q/Hypotenuse
adjacent = 15
Hypotenuse = 17.7
Cos(Q) = 15/17.7
Cos(Q) = 0.8475
The answer is C.
D is impossible. The cos of any angle can never be more than 1.
B is Tan(Q). They are not the same.
A is Sin(Q)
