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3 years ago

Which table in this photo shows a proportional relationship between X and Y?

Mathematics

1 answer:

Bumek [7]3 years ago

5 0

Your answer to this question is definitely C!

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The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis

Firdavs [7]

Answer:

$sin\theta_1 = - \frac{2\sqrt{70}}{19}$

Step-by-step explanation:

We are given that $\theta_1$ is in <em>fourth</em> quadrant.

$cos\theta_1$ is always positive in 4th quadrant and

$sin\theta_1$ is always negative in 4th quadrant.

Also, we know the following identity about $sin\theta$ and $cos\theta$ :

$sin^2\theta + cos^2\theta = 1$

Using \theta_1 in place of \theta:

$sin^2\theta_1 + cos^2\theta_1 = 1$

We are given that $cos\theta_1 = \frac{9}{19}$

$\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{280}{361}\\\Rightarrow sin\theta_1 = \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}$

$\theta_1$ is in <em>4th quadrant </em>so $sin\theta_1$ is negative.

So, value of $sin\theta_1 = - \frac{2\sqrt{70}}{19}$

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3 years ago

What is the distance between points E and G?

Snowcat [4.5K]

The answer you are looking for is 12.0

8 0

3 years ago

What is 35 percent of 440

Arte-miy333 [17]

Answer:

154 percent

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Fleta has $100.00 in a savings account that earns 5% interest

Aleonysh [2.5K]

First year 100x0.05 = 5
Second year 100x0.05 = 5
Third year 100x0.05 = 5
Total interest 15$ for three year + the original amount mean 100
Total after three year
$115

Because the interest not compounded mean : where previously accumulated interest is not added to the principal amount of the current period, so there is no compounding.

8 0

2 years ago

What is the multiplicative inverse of 156

Fantom [35]

Answer is: 1/156 as a fraction

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3 years ago