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3 years ago

What is the exact volume of the cylinder

Mathematics

2 answers:

sergejj [24]3 years ago

7 0

The volume of a cylinder is $\pi$ r^2h. Using the actual value of pi, let's set up an equation by filling in the variables.

$\pi$ (12^2)20 = volume of the cylinder

This gets you $\pi$ (144 x 20) = $\pi$ 2880 in^3

This is your final answer. $\pi$ 2880 in^3

GrogVix [38]3 years ago

3 0

V=hpir^2
h=20
r=12

v=20pi12^2
v=20pi144
v=2880pi

2nd one is answer

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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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3 years ago

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Softa [21]

No is twelve and forty-five ten thousandths

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3 years ago

You have set a goal to drink more water every day. Your water bottle holds 0.5 liters of water. In the equation below, b is the

malfutka [58]

Answer:

Dependent Variable- l Independent Variable-b

Step-by-step explanation:

Dependent Variables are always Y and Independent Variables are always x.

In this case y=I and x=b. The amount of water your water bottle will hold will never change. But the amount of water you drink can change.

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3 years ago

Somebody help me please

Sauron [17]

Answer:

Here is the answer with the steps

Step-by-step explanation:

Hope you liked it!!

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3 years ago

I need help please.

aev [14]

Answer:

76.8 inches

Step-by-step explanation:

we have :

1m= 39.37 inches

1.95m =?

we can write:

(1.95m*39.37 inches)/1m=

76.77 inches = 76.8 inches

so finally we have:

1.95m = 76.8 inches

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3 years ago