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
.
Let's do this in steps, show your work!
<u>#1. We need to move all terms to one side.</u>
<u>x^2 - 7x = 0</u>
<u>#2. Then factor out the common term x.</u>
<u>x(x - 7) = 0.</u>
<u>#3. Simplify to get..</u>
<u>x = 0, 7.</u>
<u />
If you need help with any other question let me know.
<u />
Answer:
In statistics, the percentile rank of a score is the percentage of scores in its frequency distribution that are less than that score.
Step-by-step explanation:
In statistics, the percentile rank of a score is the percentage of scores in its frequency distribution that are less than that score.
Let's name the bag of apples "x"
they have 3 bags of apples: 3x
then they need to divide it among 5 people: so each person gets 3/5