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sashaice [31]
1 year ago
12

A survey of favorite movie types found that 36% of people polled preferred comedies instead of action movies. if

Mathematics
1 answer:
Wittaler [7]1 year ago
7 0

Answer:

Step-by-step explanation:

a)

The answer is greater than 450 because the percentage is less than 100%

b)

36% = 36/100 = 0.36

450/0.36 = 1250

how many people were surveyed?:

1250

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A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate
Lyrx [107]

Answer:

Therefore the rate change of height is  \frac{1}{\pi} m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

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The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

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The volume of a cylinder is V=\pi r^2 h

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Differentiating with respect to t.

\frac{dV}{dt}=4\pi \frac{dh}{dt}

Putting the value \frac{dV}{dt}

\Rightarrow 4\pi \frac{dh}{dt}=4

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Therefore the rate change of height is  \frac{1}{\pi} m/s.

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2 years ago
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\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=13.5\\ h=90 \end{cases}\implies SA=2\pi (13.5)(90+13.5) \\\\\\ SA=27\pi (103.5)\implies SA=2794.5\pi \implies SA\approx 8779.18

well, the last part will be with a calculator, but you can simply use the area in π terms.

3 0
3 years ago
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