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
.
The answer that you are looking for is A. 40 to 27
Answer:
46 inches
Step-by-step explanation:
2 2 2
18 + 14 = c
324 + 196 = c2
520 = c2
= c
22.80350850198276
Rounded: 22.8 OR 23
STEP 1:
Discount $= Price times discount %
=$5.00 * 50%
=$5.00 * 0.50
=$2.50 discount amount
STEP 2:
Sale price= Original $ - Discount amount
=$5.00 - $2.50
=$2.50 sale price
ANSWER: Discount amount is $2.50 and the sale price is also $2.50.
Hope this helps! :)
Answer:
75.4
Step-by-step explanation: