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2 years ago

Help! Equivalent expressions (7th grade) match the ones that go are equivalent. Each expression can only be used once

Mathematics

1 answer:

Sedaia [141]2 years ago

4 0

Answer:

Step-by-step explanation:

Combine your like terms https://www.mathpapa.com/algebra-calculator.html

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PLEASE HELP ME GIVING 30 POINTS!!!

kramer

Using trigonometric identities, it is found that the sine and the tangent of the angle are given as follows:

$\sin{\theta} = \frac{1}{2}$ .

$\tan{\theta} = -\frac{\sqrt{3}}{3}$

<h3>How do we find the sine of an angle given the cosine?</h3>

We use the following identity:

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

In this problem, the cosine is:

$\cos{\theta} = -\frac{\sqrt{3}}{2}$

Hence the sine is found as follows:

$\sin^{2}{\theta} + \left(-\frac{\sqrt{3}}{2}\right)^2 = 1$

$\sin^{2}{\theta} + \frac{3}{4} = 1$

$\sin^{2}{\theta} = \frac{1}{4}$

$\sin{\theta} = \pm \sqrt{\frac{1}{4}}$

Second quadrant, so the sine is positive, hence:

$\sin{\theta} = \frac{1}{2}$

<h3>What is the tangent of an angle?</h3>

The tangent is given by the <u>sine divided by the cosine</u>, hence:

$\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}$

Hence:

$\tan{\theta} = \frac{\frac{1}{2}}{-\frac{\sqrt{3}}{2}}$

$\tan{\theta} = -\frac{1}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$

$\tan{\theta} = -\frac{\sqrt{3}}{3}$

More can be learned about trigonometric identities at brainly.com/question/7331447

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2 years ago

Ginger wants to join a gym. She goes to the local gym and is told that there is a one-time fee of $100 to join and then a monthl

AysviL [449]

100+30(n) n being the amount of months

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3 years ago

What is the quotient of 33,075 divided by<br> 35?

Reil [10]

Quotient=Division.33075/35=945
945 is your answer.

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3 years ago

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20. In the figure at right, ABDC lies in plane k and AD IDC.

Citrus2011 [14]

The option that's true about the plane illustrated is E. None of these.

<h3>How to illustrate the plane?</h3>

From the information given, it should be noted that DBC isn't an isosceles triangle.

Also, from the figure, one can see that DAB isn't similar to DAC.

Likewise, BD and DC aren't perpendicular.

In conclusion, the correct option is E.

Learn more about plane on:

brainly.com/question/2251564

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2 years ago

Alex and Peter win some money and share it in the ratio 6:1. Alex gets £50 more than Peter. How much did they get altogether?

Alex Ar [27]

Alex = 6x
Peter = x

6x = x + 50
5x = 50
x = 10

Alex = £60
Peter = £10

together = £70

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3 years ago

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