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Slav-nsk [51]
3 years ago
15

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitt

ing. What do you think the slope and the y intercept represent? How much money will she make if she baby-sits 5 hours?
Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0
C = 5h + 3
C = 5(5) + 3
She will make $28
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If sin theta= 12/13 and θ is in quadrant II, cos 2 theta= and cos theta = .
Lady bird [3.3K]

Answer:

cos2θ = -0.7041

Cos θ = -0.3847

Step-by-step explanation:

Firstly, we should understand that since θ is in quadrant 2, the value of our cosine will be negative. Only the sine is positive in quadrant 2.

Now the sine of an angle refers to the ratio of the opposite to the adjacent. And since there are three sides to a triangle, we need to find the third side which is the adjacent so that we will be able to evaluate the cosine of the angle.

What to use here is the Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the adjacent and the opposite.

Since Sine = opposite/hypotenuse, this means that the opposite is 12 and the hypnotist 13

Thus the adjacent let’s say d can be calculated as follows

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169 = 144 + d^2

d^2 = 169-144

d^2 = 25

d = √25 = ±5

Since we are on the second quadrant, the value of our adjacent is -5 since the x-coordinate on the second quadrant is negative.(negative x - axis)

The value of cos θ = Adjacent/hypotenuse = -5/13

Cos θ = -5/13

Cos θ = -0.3846

Using trigonometric formulas;

Cos 2θ = cos (θ + θ) = cos θ cos θ - sin θ sin

θ = cos^2 θ - sin^2 θ

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Cos 2θ = 25/169 - 144/169

Cos 2θ = (25-144)/169 = -119/169

Cos 2θ = -0.7041

3 0
3 years ago
Valeria's office recycled a total of 44 kilograms of paper over 4 weeks. How many weeks will it take Valeria's office to recycle
diamong [38]
The answer would be 6 weeks.

First, you do 44 divided by 4 to get 11 kg per week. Now you divide 66 by 11 to get 6 weeks.
8 0
3 years ago
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