Answer:
90.4°
Step-by-step explanation:
Use Law of Cosines to solve:
12² = 9² + 8² - 2(9)(8)Cos X
144 = 81 + 64 - 144Cos X
-1 = -144Cos X
-1/144 = Cos X
Cos^-1 (-1/144) = X
X = 90.39789056°
So you know the merchant made a 15% profit on the pen, so she bought it for a cheaper price. To find the cost of the pen before you have to take the price now, $6.90 and times it by 85%. You do 85% because you subtract the 15% she saved from 100% and you get 85%. So 6.90x.85= 5.865 which rounds to $5.87
Answer:

Step-by-step explanation:
Divide both sides by 

Simplify:
; 
Answer:
416025
Step-by-step explanation:
For confidence interval of 99%, the range is (0.005, 0.995). Using a z-table, the z-score for 0.995 is 2.58.
Margin of error = 0.2% = 0.002.
Proportion is unknown. So, worse case proportion is 50%. p = 50% = 0.5.
\\ 
So, sample size required is 416025.