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:
The equation is p=34a+12, and a=7
Step-by-step explanation:
Perimeter is all of the sides added together
p=12a+6a+8+6a+8+10a-4
Combine like-terms
p=34a+12
Solve for a by making p equal to 250
250=34a+12
Subtract 12 from both sides
238=34a
Divide both sides by 34
7=a
Answer:
work it step by step on paper it really helps
Step-by-step explanation:
Answer:
$39.90
Step-by-step explanation:
if each video game cost $3.30, and she rented 7, then you multiply $3.30 by 7, to get $21.10, and if each DVD was $4.20, and she rented 4, then its $4.20x4= $16.80
after that you just add the two total costs together, which is $23.10+$16.80=$39.90
Answer:
they are congruent so e=44°
Step-by-step explanation:
