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3 years ago

15

Fill in the blank. increasing the side length of a cube by a factor of 3 increases the volume by a factor of ___________.

1 answer:

german3 years ago

6 0

We have that
scale factor=3

we know that
[volume new cube]=[scale factor]³*[volume original cube]
[volume new cube]=[3]³*[volume original cube]-----> 27*[volume original cube]

the answer is
<span>the volume increases by a factor of 27</span>

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Read 2 more answers

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Answer:

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Step-by-step explanation:

The given function is

$f(t)=-\frac{1}{2}\sin (3t-2\pi)$ .... (1)

The general form of sine function is

$F(t)=A\sin (Bt-C)+D$ ....(2)

where, |A| is the amplitude, B is period, D is the vertical shift (up or down), and C/B is used to find the phase shift.

On comparing (1) and (2), we get

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$amplitude=|A|=\frac{1}{2}$

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Therefore $amplitude=|A|=\frac{1}{2}$ , $period=3$ and $\text{phase shift}=\frac{2\pi}{3}$ .

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