Find the fourth roots of 16(cos 200° + i sin 200°).

The fourth roots of 16(cos 200° + i sin 200°) are .

Step-by-step explanation:

The given expression is

Using deMoivre's Theorem

The four roots are in the form of

For n=1,

For n=2,

For n=3,

Therefore the fourth roots of 16(cos 200° + i sin 200°) are .

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

the answer to your question is c.)   volcanoes built the mountains and earthquakes tore them down.

step-by-step explanation: