An airplane is flying at an altitude of 5 mi and passes directly over a radar antenna as shown in the figure. When the plane is
10 mi from the antenna (s = 10), the radar detects that the
15
distance s is changing at the rate of 300mph. What is the rate
of change of the angle of depression (O)?

44

step-by-step explanation:

the

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32

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).

25/6

step-by-step explanation:

you multiply 4 by the denominator (4*6=24) and add it to the numerator which makes it 25/6.