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Katyanochek1 [597]
3 years ago
12

Find sin θ if θ is in Quadrant III and tan θ = . 0.958

Mathematics
1 answer:
Leokris [45]3 years ago
7 0
Use the following identities:
sec^2 = 1  + tan^2 \\  \\ sec = \frac{1}{cos} \\  \\ sin^2 = 1 - cos^2
Also because the angle is in quadrant 3, sin must be negative.
Therefore
sin = - \sqrt{1 - \frac{1}{1 + tan^2}}
Subbing in tan = 0.958
sin \theta = -0.69178
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Answer:

a right triangle

Step-by-step explanation:

because if you rotate your head, then you can see that the top is at a 90 degree angle

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Find a solution of inequality 2x+y&lt;10
Vitek1552 [10]

Option C:

The solution of inequality 2x + y < 10 is (5, –3).

Solution:

Given inequality is 2x + y < 10.

Lets substitute the given points in the inequality and find the solution.

Option A: (6, –1)

2(6) + (–1) < 10

12 – 1 < 10

11 < 10

This is false because 11 > 10.

Therefore (6, –1) is not the solution of the inequality.

Option B: (1, 10)

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This is false because 12 > 10.

Therefore (1, 10) is not the solution of the inequality.

Option C: (5, –3)

2(5) + (–3) < 10

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Therefore (5, –3) is the solution of the inequality.

Option D: (5, 5)

2(5) + (5) < 10

10 + 5 < 10

15 < 10

This is false because 15 > 10.

Therefore (5, 5) is not the solution of the inequality.

Hence Option C is the correct answer.

The solution of inequality 2x + y < 10 is (5, –3).

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Darius lives in Ohio and pays 5.5% in sales tax. If he just bought a sweatshirt that cost $24, what was the total amount he paid
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In this question, we are required to find the total amount he paid to buy the shirt.

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Answer:

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