In which quadrant does the terminal side of the angle 387° lie?
quadrant i
o quadrant ii
quadrant iii
quadrant iv

The answer is:

The terminal side of the angle 387° lies at the Quadrant I.

We know that there are four quadrants on the plane, those quadrants goes from 0° to 360°, however, since the quadrant is going only from 0° to 360°, if we want to know where an angle greater than 360° is located, we need to take only the excess, so:

We are asked to find where the angle 387° is located, we can write the angle by the following way:

So, we have that there are 27° more than 360°, if we want to find where the 367° we only need to locate where the excess (27°) angle is located.

Also, we know that:

Quadrant I: 0° to 90°

Quadrant II: 90° to 180°

Quadrant III: 180° to 270°

Quadrant IV: 270° to 360°

We have that 27° is between 0° and 90°, so, it's located on the first quadrant.

Hence, we have that the angle 367° is located at the Quadrant I.

Have a nice day!

astronomers is your final answer! : )

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!