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3 years ago

Find an angle between 0 and 2 π that is coterminal with 17pi/5

Mathematics

1 answer:

expeople1 [14]3 years ago

4 0

Answer:

7pi/5

Step-by-step explanation:

A coterminal angle is the original angle ± 2pi radians

So to find a coterminal between 0 and 2pi you will need to substract 2pi's until you get one within that interval

17pi/5 - 2pi = 17pi/5 - 10pi/5 = 7pi/5

and this is already the answer ^

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A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equati

NemiM [27]

Answer:

The minimum average cost is $643.75

It should be built 62.5 machines to achieve the minimum average cost

Step-by-step explanation:

The equation that represents the cost C to produce x DVD/BLU-ray players is C = 0.04x² - 5x + 800

To find the minimum cost differentiate C to equate it by 0 to find the average cost per machine and to find the value of the minimum cost

∵ C = 0.04x² - 5x + 800

- Differentiate C with respect to x

∴ $\frac{dC}{dx}=0.04(2)x^{2-1}-5(1)x^{1-1}+0$

∴ $\frac{dC}{dx}=0.08x-5$

- Equate $\frac{dC}{dx}$ by 0

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- Divide both sides by 0.08

∴ x = 62.5

That means the minimum average cost is at x = 62.5

Substitute the value of x in C to find the minimum average cost

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∴ C = 643.75

∵ C is the average cost

∴ The minimum average cost is $643.75

∵ x is the number of the machines

∴ It should be built 62.5 machines to achieve the minimum

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