X= 103
180 - 65 = 115
X + 12 = 115
X = 115 - 12 = 103
<span>Each ticket costs $10. He bought "x" tickets. Ticket cost = 10*x
Each bag of popcorn costs $5.
He bought "y" bags of popcorn.
Popcorn cost = 5*y
Service fee: $3
Total cost = 10x + 5y + 3 <= $75 is the inequality.
10x + 5y <= 72
If x = 4,
then 40 + 5y <= 72
5y <= 32
y <= 6.4
So y = 6 bags of popcorn.</span>
Answer:
or exact is −0.70710678...
Step-by-step explanation:
Getting the point!
- If we look at the unit circle and we find
we see it is in the 3rd quadrant. - We know that all points in the 3rd quadrant have both negative x and negative y values.
- We know that all radians with the base of 4 on the unit circle have the points of
- Because we are in the 3rd quadrant and both x and y are negative we know the point of
is 
Finding the sin!
- Because we know that sin is asking us for the y value
- We can just look at the point and find the y value!
- the y value is

- Because this fraction does not need to be rationalized we are good!
- Use a calculator to find the exact value and you get -0.70710678...
- The final answer is
or exact is −0.70710678...
Hope this helps!! Please mark Brainliest!