Find an angle in the normal range (0° to 360°, or 0 to 2pi radians) whose terminal side points in the same direction as the terminal side of an angle measuring -312°

A

Step-by-step explanation:

Our angle is -312 degrees, but because angles on the unit circle are always periodic and repeat every 2π or 360°, that means if we add a certain multiple of 360 to -312, we should get an angle with the terminal side pointing in the same direction.

Let's add 360 to -312:

-312 + 360 = 48°

Thus, the answer is A.

a. 48°

Step-by-step explanation:

To get an angle between 0 and 360, just keep on adding/subtraction 360° to the given angle till you find an angle in the required interval

-312 + 360 = 48°

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.