Sin= opp/hyp
sin = 8sqrt(3)/16
= 2sqrt(3)/4
= sqrt(3)/2
Answer: 2nd choice
Answer:
The number of possible outcomes is 24×18.
The number of favorable outcomes are as follows: (3×5)+(8×7)+(13×6)
The probability is simply:
(3×5)+(8×7)+(13×6)/24×18=149/432
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Simplify the numerator:</u>
- 1/x² + 2/y =
- y/(x²y) + 2x²/(x²y) =
- (2x² + y)/(x²y)
<u>Simplify the denominator:</u>
- 5/x - 6/y² =
- 5y²/(xy²) - 6x/(xy²) =
- (5y² - 6x) / (xy²)
<u>Simplify the fraction:</u>
- (2x² + y)/(x²y) ÷ (5y² - 6x) / (xy²) =
- (2x² + y)/(x²y) × xy² / (5y² - 6x) =
- y(2x² + y) / x(5y² - 6x)
