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.
Answer:
The answer is 1920, right? Here is how-
The numbers must contain at least three digit and can go above that which means the answer has 3 4 5 and 6 digits all together.
For three digits , there will be 6*5*4 = 120
For 4 Digits, There will be 6*5*4*3=360 possible numbers
For 5 digits , there will be 6*5*4*3*2 = 6! = 720
For 6 digits, there will be 6*5*4*3*2*1 = 6! = 720
<Note- the digits are non repeating as the question said it to be “different digits” >
Now add them up = 120+360+2*720 = 1920
Step-by-step explanation:
Answer:
256.
Step-by-step explanation:
1 × 4 = 4
4 × 4 = 16
16 × 4 = 64
64 × 4 = 256
Answer: y=-12
Step-by-step explanation: 4(6-x) -2(6-y)=-4x
24-4x-12+y=-4x
12-4x+y=-4x
y=-12