3 years ago

what is the volume of a right cylinder which has a base radius of 14 inches and a height of 2 inches?

Mathematics

1 answer:

azamat3 years ago

7 0

The answer is 28 for the volume

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Complex numbers & DeMoivre's theory If z=-1-√3 i and z^6=a+bi, a=_____ and b=_____

Mice21 [21]

Convert $z$ to exponential/polar/trigonometric form:

$r=|z|=\sqrt{(-1)^2+(-\sqrt 3)^2}=2$

$\tan\theta=\dfrac{-\sqrt3}{-1}\implies\theta=\dfrac{4\pi}3$

$\implies z=-1-\sqrt3\,i=2e^{4\pi/3\,i}=2\left(\cos\dfrac{4\pi}3+i\sin\dfrac{4\pi}3\right)$

By DeMoivre's theorem,

$z^6=\left(2e^{4\pi/3\,i}\right)^6=2^6e^{24\pi/3\,i}=64e^{8\pi\,i}$

$z^6=64\left(\cos8\pi+i\sin8\pi)=64$

so that $a=64$ and $b=0$ .

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4 years ago

Brainiest if correct or first -5/12-(-3/4)

irinina [24]

Answer:

0.333

Step-by-step explanation:

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3 years ago

Read 2 more answers

Let f(x) = 12 over the quantity of 4 x + 2. Find f(−1). (1 point)

mylen [45]

Answer:

-6

Step-by-step explanation:

Hope I understand your "f(x) = 12 over the quantity of 4 x + 2" correctly

f(x) = 12 / 4x +2

Now so they want a f(-1), as u can see they substituted the x for - 1, therefor do that the same to the right side

f(-1) = 12/ 4(-1) + 2

f(-1) = 12 / - 4+2

= 12/ - 2

= - 6

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3 years ago

If f(x)=x^2 what is g(x) A. g(x)=1/9x^2 B. g(x)=(1/3x)^2 C. g(x)=3x^2 D. g(x)=1/3x^2

Pavlova-9 [17]

Answer:

the answer is B

Step-by-step explanation:

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3 years ago

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