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3 years ago

In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?

Mathematics

1 answer:

Oxana [17]3 years ago

6 0

Answer:

35/37

Step-by-step explanation:

In this question, we are to calculate the ratio that represents the cosine of angle O

Firstly, please check attachment for diagram of the triangle.

Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse

The hypotenuse is the longest length which is 37 which represents the length ON

The side adjacent to angle O is the side OP which is 35

Thus, the ratio representing the cosine of angle O is 35/37

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The price p (in dollars) that a camera manufacturer is able to charge for a camera is given by p = 100 - 10x² where x is the num

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Answer:

10x^3-70x+60=0

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Step-by-step explanation:

x is the number (in millions) of cameras produced

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So we have:

Profit=x(price-cost)

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Solving:

The independent term of the equation is 6.

the divisors of 6 are {1,-1, 2,-2, 3,-3, 6,-6}

Substituting each divisor in the equation we have:

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However, it is not possible to produce -3 millions of cameras.

So the only possible solutions are x=1 and x=2.

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