Answer: The value of the expression is 
.
Explanation:
The given expression is,
Step 1: Break the angles.
Step 2: Use quadrant concept to find the value of 
Step 3:Use 
![\sin (\frac{\pi}{4})[\cos (\frac{\pi}{4})\cos (\frac{\pi}{3})+\sin (\frac{\pi}{4})\sin (\frac{\pi}{3})]](https://tex.z-dn.net/?f=%5Csin%20%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5B%5Ccos%20%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5Ccos%20%28%5Cfrac%7B%5Cpi%7D%7B3%7D%29%2B%5Csin%20%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5Csin%20%28%5Cfrac%7B%5Cpi%7D%7B3%7D%29%5D)
Step 4: Put these values by using trigonometric table.
![(\frac{1}{\sqrt 2})[(\frac{1}{\sqrt 2})(\frac{1}{2})+(\frac{1}{\sqrt 2})(\frac{\sqrt3}{2})]](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B%5Csqrt%202%7D%29%5B%28%5Cfrac%7B1%7D%7B%5Csqrt%202%7D%29%28%5Cfrac%7B1%7D%7B2%7D%29%2B%28%5Cfrac%7B1%7D%7B%5Csqrt%202%7D%29%28%5Cfrac%7B%5Csqrt3%7D%7B2%7D%29%5D)
![(\frac{1}{\sqrt 2})[(\frac{1}{2\sqrt 2})+(\frac{\sqrt3}{2\sqrt 2})]](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B%5Csqrt%202%7D%29%5B%28%5Cfrac%7B1%7D%7B2%5Csqrt%202%7D%29%2B%28%5Cfrac%7B%5Csqrt3%7D%7B2%5Csqrt%202%7D%29%5D)
Therefore, the value of the expression is .
Answer:
c number is the correct one i think
K so you have to set 2 equations like this
x meaning the amount of adults
and y meaning the amount of kids
x+y=11
13.5x+8.25y=111.75
Then use substitution method and you get
x=11-y from the first equation
plug that in to the second and you get
13.5(11-y)+8.25y=111.75
Solve for y in that equation by distributing and then combining like terms
148.5 - 13.5y + 8.25y = 111.75
148.5 - 5.25y = 111.75
Then, you need to subtract 148.5 from each side and cancel the negatives
5.25y=36.75
solve for y and you get
36.75/5.25 = 7
y=7
7 Children attended the movie.
Hope this heldped!
