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horrorfan [7]
3 years ago
5

A cylinder has volume 63 cm3. What is the volume of a cone with the same radius and height?

Mathematics
1 answer:
aev [14]3 years ago
7 0

it's answer is

volume of a cone = 21

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4 Math Questions<br> 1.) a^2-10a=4<br> 2.) x^2+20x-18=3<br> 3.) (x-5)^2=1<br> 4.) x^2-18x=65
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1) a=5+√29 or a=5−√29 2) x=1 or x=−21 3) x=4 or x=6 4) x=9+√146 or x=9−√146 Hopefully that helps you ❤

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Find the length x.<br> pls help
scoray [572]

Answer:

x = 6

Step-by-step explanation:

To find x we set up an  equation as so:

\frac{4.5}{x} =\frac{6}{8}

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\frac{6x}{6} =\frac{36}{6}    x = 6

To check our answer when we substitute x or 6 we divide to make sure both sides equal the same number

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3 years ago
Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet
Irina18 [472]

The distance from Ship B to the signal fire at point C is 405.4 \mathrm{ft}

Explanation:

It is given that two ships A and B are at a distance 140 ft from each other.

The angle formed by ship A is 82º and the angle formed by ship B is 78º.

To determine the distance from ship B to the signal fire at point C, we need to know the another angle.

Hence, we have,

\begin{aligned}\angle A+\angle B+\angle C &=180^{\circ} \\82^{\circ}+78^{\circ}+\angle C &=180^{\circ} \\160^{\circ}+\angle C &=180^{\circ} \\\angle C &=20^{\circ}\end{aligned}

Now, we shall solve the problem using the law of sines,

\frac{\sin A}{a}=\frac{\sin C}{c}

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\frac{\sin 82^{\circ}}{a}=\frac{\sin 20^{\circ}}{140}

\frac{0.9903}{a}=\frac{0.3420}{140}

Simplifying, we get,

a=\frac{0.9903 \times 140}{0.3420}

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Thus, the distance from Ship B to the signal fire at point C is 405.4 \mathrm{ft}

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