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:NO, NO, YES
Step-by-step explanation:
Answer:
36 blocks.
Step-by-step explanation:
We have been given that Mikaela travels 15 blocks on her skateboard in 5 minutes. We are asked to find the number of blocks that she can travel on her skateboard in 12 minutes.
We will use proportions to solve our given problem.
Therefore, Mikaela will travel 36 blocks on her skateboard in 12 minutes.
48 out of 100 is closest to 1/2 because there is only 2 more until 50 (and 50 is half of 100)
