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3 years ago

11

A recycling bin is shaped like a right rectangular prism and holds 300 000 cm3 of returnable containers. If the base of the bin

is 40 cm wide and 60 cm long, what is the height of the recycling bin in centimeters?

1 answer:

Serga [27]3 years ago

3 0

Answer:

a ecycling bin is shaped like a turtle

Step-by-step explanation:

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Complex numbers & DeMoivre's theory<br> 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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3 years ago

An automobile manufacturer produces production parts with 98% accuracy. What is the probability that in a production run of 25 p

Sergio039 [100]

Answer:

the answer is C

Step-by-step explanation:

let's be honest when in doubt just put c

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3 years ago

What number is the opposite of 35?

wlad13 [49]

Answer:

I believe its -35

Step-by-step explanation:

negatives are opposites or positives lmk ig I'm wrong

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3 years ago

A number between 61-107 and are multiples of 3,8,12

Sergeu [11.5K]

72 is the answer you are looking for here

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3 years ago

kherson [118]

Answer:

6000cm

Step-by-step explanation:

multiply all figures given

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2 years ago