Help please i dont get these and please show work if u can thxs

Step-by-step explanation:

A = 180°-90°-50° = 40°

Use Law of Sines to find a:

a = b⋅sinA/sinB ≈ 20.1 units

Use Pythagorean Theorem to find c:

c = √(a² + b²) ≈ 31.3 units

sin(x) = 16/25

x = arcsin(16/25) ≈ 39.8°

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).