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navik [9.2K]
3 years ago
13

(GEOMETRY PLS HELP) Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or

why not?
a.Yes, because corresponding sides are parallel and have lengths in the ratio 1/4

b.Yes, because both figures are rectangles and all rectangles are similar.

c.No, because the center of dilation is not at (0, 0). 

d.No, because corresponding sides have different slopes

Mathematics
2 answers:
Gennadij [26K]3 years ago
5 0
C, the correct answer is C
mart [117]3 years ago
3 0
The correct answer is c
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Answer:

The equation of the displacement d as a function of time t is :

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Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple sin or cos terms.

Thus,

d(t) = Asin(wt+c)

is the general form of displacement of a SHM.

where,

  • <em>d(t) is the displacement with respect to the mean position at any time t</em>
  • <em>A is amplitude </em>
  • <em>w is the natural frequency of oscillation (rads^{-1})</em>
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given,

  1. Time period (T) = 2s
  2. A=8
  3. The natural frequency (w) and time period (T) is :

                               w=\frac{2\pi} {T}

∴

w = \frac{2\pi }{2}  = \pi rads^{-1}

∴

the equation :

<em>⇒d(t)=8sin(\pi t+c)    </em>                    ------1

since d=0 when t=o ,

<em>⇒0=8sinc\\c=n\pi                         ------2</em>

where n is an integer ;

<u>⇒since the bouy immediately moves in the negative direction , x must be negative or c must be an odd multiple of \pi.</u>

<em>⇒ d(t) = 8sin(\pi t+(2k+1)\pi )         ------3</em>

where k is also an integer ;

the least value of k=0;

thus ,

the equation is :

d(t)=8sin(\pi t+\pi )

<em></em>

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Step-by-step explanation:

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Let x denotes the height of women.

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