∠A and \angle B∠B are vertical angles. If m\angle A=(5x-9)^{\circ}∠A=(5x−9) ∘ and m\angle B=(8x-30)^{\circ}∠B=(8x−30) ∘ , then f
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Answer:
The height of cone is decreasing at a rate of 0.085131 inch per second.
Step-by-step explanation:
We are given the following information in the question:
The radius of a cone is decreasing at a constant rate.
The volume is decreasing at a constant rate.
Instant radius = 99 inch
Instant Volume = 525 cubic inches
We have to find the rate of change of height with respect to time.
Volume of cone =
Instant volume =
Differentiating with respect to t,
Putting all the values, we get,
Thus, the height of cone is decreasing at a rate of 0.085131 inch per second.
ON = 8x • 8
LM = 7x + 4
NM = x - 5
OL = 3y - 6
OL is congruent & parallel to NM
LM is congruent & parallel to ON
So,
Simplify
subtract 7x from both sides
divide 57 from both sides
Substitute x into equations
NM & OL = -28/57
ON & LM = 4 + (28/57)
LM = 7x + 4
NM = x - 5
OL = 3y - 6
OL is congruent & parallel to NM
LM is congruent & parallel to ON
So,
Simplify
subtract 7x from both sides
divide 57 from both sides
Substitute x into equations
NM & OL = -28/57
ON & LM = 4 + (28/57)