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2 years ago

NEED HELP FAST!!!!! What is the volume of figure A in the composite figure?

Mathematics

1 answer:

vodka [1.7K]2 years ago

5 0

Answer:

30 in

Step-by-step explanation:

subtract 5 inches from 8 inches and you get 3 inches (the height)

then we already have the given 4 inches (the width)

then finally we can see from figure b that the depth is 5 inches

you multiply all of them together and get 60, before dividing that in half to get 30.

(not certain about units)

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$

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What is the equation of 60km

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2 years ago

You are designing a container in the shape of a cylinder. The radius is 5 inches. You want the container to hold at least 725π c

12345 [234]

Answer:

The answer to your question is: h = 14.5 in

Step-by-step explanation:

Data

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height = ?

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Substitution

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h = 725π / 2πr²

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3 years ago

***NEED HELP FAST!!!!!*** What is the volume of figure A in the composite figure?

NEED HELP FAST!!!!! What is the volume of figure A in the composite figure?