Answer:
Step-by-step explanation:
i) the length of each side of the block is 154m.
ii) the block is a square block
iii) so the perimeter of the square block will be = 4 × length of one side.
iv) Therefore the perimeter of the square block is = 4 × 154 m = 616 m.
Let's choose 43° to be our angle. We know the opposite, and want to know the hypotenuse. Sine is the trig. we use for opposite over hypotenuse.
sinθ = opposite/hypotenuse
sin(43)=27/x
We want to isolate <em>x</em>, so that looks like:
x = 27/sin(43)
Therefore, the value of x is 27/0.682 or ≈39.589 or F
Y + 64 should equal 180 degrees because they are supplementary angles.
So y = 180-64 = 116 degrees
Answer:
c
Step-by-step explanation:
Reference angle is the angle that is formed by the the terminal side of teh angle and the horizontal line or the x-axis. The reference angles of the different quadrants can be determined using the formula correspondingly:
Quadrant 1: RF = actual angle
Quadrant 2: RF = actual angle - 90 = actual angle - pi/2
Quadrant 3: RF = actual angle - 180 = actual angle - pi
Quadrant 4 : RF = actual angle - 270 = actual angle - 3/4 pi
The first thing to do is to determine the quadrants of each angle and then apply the formula:
a. 19 pi /4 = 855 deg = 2nd Q = 135 + 45 = 180 (correct)
b. 15 pi/4 = 675 deg = 4th Q = 315 + 45 = 360 (correct)
c. 7 pi/4 = 315 deg = 4th Q = 315 + 45 = 360 (correct)
d. 12 pi/4 = 540 deg = x axis = not correct
Answers are A, B and C.