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laiz [17]
3 years ago
9

Pls helpppppp this is a math emergency!

Mathematics
2 answers:
Alex787 [66]3 years ago
4 0

Answer:

The answer is C: 19.4 sq in

netineya [11]3 years ago
3 0

Answer:

19.4in

Step-by-step explanation:

1) formula for area of a triangle:

(b*h)/2=a

the area and height are already given so lets substitute them in the formula.

(b*23.8)/2=230.86

1) multiply by 2 on both sides

b*23.8=461.72

divide by 23.8 on both sides

b=19.4

the base is 19.4 in

hope this helps

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Read 2 more answers
PLEASE SHOW WORK
CaHeK987 [17]

(C)

Step-by-step explanation:

The volume of the conical pile is given by

V = \dfrac{\pi}{3}r^2h

Taking the derivative of V with respect to time, we get

\dfrac{dV}{dt} = \dfrac{\pi}{3}\dfrac{d}{dt}(r^2h)

\:\:\:\:\:\:\:= \dfrac{\pi}{3}\left(2rh\dfrac{dr}{dt} + r^2\dfrac{dh}{dt}\right)

Since r is always equal to h, we can set

\dfrac{dr}{dt} = \dfrac{dh}{dt}

so that our expression for dV/dt becomes

\dfrac{dV}{dt} = \dfrac{\pi}{3}\left(3r^2\dfrac{dh}{dt}\right)

\:\:\:\:\:\:\:= \pi r^2\dfrac{dh}{dt}

Solving for dh/dt, we get

\dfrac{dh}{dt} = \dfrac{1}{\pi r^2}\dfrac{dV}{dt}

\:\:\:\:\:\:\:= \dfrac{1}{9\pi\:\text{m}^2}(36\:\text{m}^3\text{/s})

\:\:\:\:\:\:\:= \dfrac{4}{\pi}\:\text{m/s}

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