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bekas [8.4K]
3 years ago
11

Find the volume of the cylinder. Either enter an exact answer in terms of or use 3.14

Mathematics
2 answers:
kow [346]3 years ago
5 0

Answer: 400

Step-by-step explanation:

asambeis [7]3 years ago
4 0
The answer for this is 400
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2sin^2 2x=2<br><br> In the domain [0,2pi)<br><br> What can x equal ( in radians).
lions [1.4K]
Bear in mind that, when it comes to trigonometric functions, the location of the exponent can be a bit misleading, however recall that sin²(θ) is really [ sin( θ )]²,


\bf 2sin^2(2x)=2\implies sin^2(2x)=\cfrac{2}{2}&#10;\\\\\\&#10;sin^2(2x)=1\implies [sin(2x)]^2=1\implies sin(2x)=\pm\sqrt{1}&#10;\\\\\\&#10;sin(2x)=\pm 1\implies sin^{-1}[sin(2x)]=sin^{-1}(\pm 1)

\bf \measuredangle 2x=sin^{-1}(\pm 1)\implies \measuredangle 2x=&#10;\begin{cases}&#10;\frac{\pi }{2}\\\\&#10;\frac{3\pi }{2}&#10;\end{cases}\\\\&#10;-------------------------------\\\\&#10;\measuredangle 2x=\cfrac{\pi }{2}\implies \measuredangle x=\cfrac{\pi }{4}\qquad \qquad \qquad \qquad \measuredangle 2x=\cfrac{3\pi }{2}\implies \measuredangle x=\cfrac{3\pi }{4}
3 0
3 years ago
You have entered a pie baking contest. In the contest, you must make several pies for the judges to taste. You will make your fa
andreyandreev [35.5K]

Answer:

x=2.5 cups are needed  for 2 pies

Step-by-step explanation:

4/5 or 0.8

Fraction form: 4/5x = 2   x= 5/4

Decimial form: 0.8x = 2   x = 2.5

Mixed number form: 2 1/2

Hope that helped :)

8 0
2 years ago
At a farm the ratio of cows to horses was 9:2. If there were 72 cows at the farm, how many horses were there?
bixtya [17]
Let the no. Of horses be x

9÷2 = 72÷x

X= 144÷9
No. Of horses = 16
4 0
3 years ago
Read 2 more answers
What are the ratios of sine, cosine, and tangent for angle Y? sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFra
Sholpan [36]

Answer:

\sin Y= \frac{XZ}{XY}

\cos Y= \frac{YZ}{XY}

\tan Y= \frac{XZ}{YZ}

Step-by-step explanation:

Given

See attachment for triangle

Required

Find \sin, \cos and \tan of angle Y

For angle Y:

Opposite = XZ

Adjacent = YZ

Hypotenuse = XY

The \sin of an angle is calculated as:

\sin\theta = \frac{Opposite}{Hypotenuse}

So:

\sin Y= \frac{XZ}{XY}

The \cos of an angle is calculated as:

\cos\theta = \frac{Adjacent}{Hypotenuse}

So:

\cos Y= \frac{YZ}{XY}

The \tan of an angle is calculated as:

\tan\theta = \frac{Opposite}{Adjacent}

So:

\tan Y= \frac{XZ}{YZ}

7 0
3 years ago
Read 2 more answers
At the We-Pack Shipping, the workers can unload 28 trucks in 7 hours. Which of the following is a correct unit rate for this sit
boyakko [2]

Answer:

4 trucks per hour

Step-by-step explanation:

You would do the trucks over the hours to get the ratio so, 28:7 is equal to 4:1 because 28/7 = 4

5 0
3 years ago
Read 2 more answers
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