Answer:
60, 75
150 165
240 255
330 345
Step-by-step explanation:
csc 4 theta = -2 sqrt(3)/3
Write in terms of sin
1/ sin (4 theta) = -2 sqrt(3)/3
Using cross products
-2 sqrt(3) = 3 sin (4 theta)
Divide each side by 3
-2 sqrt(3)/3 = sin (4 theta)
Take the inverse sin on each side
sin ^ -1(-2 sqrt(3)/3) = sin ^ -1 (sin (4 theta))
240 +360n = 4 theta
and 300 +360n = 4 theta where n is an integer
Dividing each side by 4
240/4 +360n/4 = 4/4 theta and 300/4 +360n/4 = 4/4 theta
60 + 90n = theta and 75 +90n = theta
We want all the values between 0 and 360
Let n=0
60, 75
n=1
60+90=150 and 75+90 =165
n=2
60+180= 240 75+180=255
n=3
60+270 = 330 75+ 270 =345
Answer:
18,72
Step-by-step explanation:
Complementary angles add to 90 degrees
Multiply the ratio by x
1x+4x = 90
Combine like terms
5x = 90
divide by 5
5x/5 = 90/5
x =18
The first angle is 18 degrees
4*18 =72
The second angle is 72 degrees
Answer: m= -2
b= 14
y= -2x+14
Step-by-step explanation:
First, you estimate to find the m. After you get -2, you plug the numbers in, and see what you add to get x.
Answer:
B. 5(4x+2y)-y
Step-by-step explanation:
Bring the 5 over and multiply
5×4 = 20 + x
=20x (thats the beginning of the expression)
5×2 = 10
10y - y = 9 because the - y is basically telling you to get rid of one of the y values so 10 - 1 = 9y
Answer:
7/33 = 21 repeating and I'm pretty sure the question wants you to write it as an improper fraction. so your answer would be 40/33
Step-by-step explanation:
