Find all the solutions of the equation 2 sin x / 3 + 3 = 0.

Solutions do not exist.

Step-by-step explanation:

Range of sin function is [-1,1].

It can only take values varying from -1 to +1 (including both).

Hence cannot be -3/2.

Therefore the above equation has no solution.

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