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3 years ago

The point P(18, 24) is on the terminal side of θ. Evaluate sin θ.

2 answers:

7 0

sin θ = opposite/hypotenuse
P(18,24) lies in the first quadrant as both are positive.
x=18
y=24
Hypotenuse = sqrt (18^2 + 24^2)
Hypotenuse = 30
sin θ = 24/30
sin θ = 4/5
θ = sin^-1 (4/5)
θ = 53.13 degrees

Marat540 [252]3 years ago

5 0

The final answer is 4/5.

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Step-by-step explanation:

The stadium holds up to 50,000 spectators.

When ticket prices were set at $12, the average attendance was 30,000.

When the ticket prices were on sale for $10, the average attendance was 35,000.

(a)The number of people that will buy tickets when they are priced at x dollars per ticket = D(x)

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$30000=-2500(12)+b\\b=30000+30000\\b=60000$

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(c)To find the critical values for R(x), we take the derivative and solve by setting it equal to zero.

$R(x)=60,000x-2500x^2\\R'(x)=60,000-5,000x\\60,000-5,000x=0\\60,000=5,000x\\x=12$

The critical value of R(x) is x=12.

(d)If the possible range of ticket prices (in dollars) is given by the interval [1,24]

Using the closed interval method, we evaluate R(x) at x=1, 12 and 24.

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Therefore:

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