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2 years ago

Select the graph of the solution. Click until the correct graph appears.

Mathematics

1 answer:

faust18 [17]2 years ago

4 0

Answer:

C. is your answer

Step-by-step explanation:

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What does absolute value mean?

Lynna [10]

Absolute value is the magnitude of a number without regard to its sign. for example, the absolute value of 5 is 5, and the absolute value of -5 is also 5!

4 0

3 years ago

Find sinϴ and cosϴ if tanϴ=1/4 and sinϴ>0

eduard

If you're using the app, try seeing this answer through your browser: brainly.com/question/2787701

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$\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\
\mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{1}{4}}\\\\\\
\mathsf{4\,sin\,\theta=cos\,\theta\qquad\quad(i)}$

Square both sides:

$\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\
\mathsf{4^2\,sin^2\,\theta=cos^2\,\theta}\\\\
\mathsf{16\,sin^2\,\theta=cos^2\,\theta\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{16\,sin^2\,\theta=1-sin^2\,\theta}$

$\mathsf{16\,sin^2\,\theta+sin^2\,\theta=1}\\\\
\mathsf{17\,sin^2\,\theta=1}\\\\
\mathsf{sin^2\,\theta=\dfrac{1}{17}}\\\\\\
\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{1}{17}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\dfrac{1}{\sqrt{17}}}$

Since $\mathsf{sin\,\theta}$ is positive, you can discard the negative sign. So,

$\mathsf{sin\,\theta=\dfrac{1}{\sqrt{17}}\qquad\quad\checkmark}$

Substitute this value back into $\mathsf{(i)}$ to find $\mathsf{cos\,\theta:}$

$\mathsf{4\cdot \dfrac{1}{\sqrt{17}}=cos\,\theta}\\\\\\
\mathsf{cos\,\theta=\dfrac{4}{\sqrt{17}}\qquad\quad\checkmark}$

I hope this helps. =)

Tags: trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus

7 0

2 years ago

Hannah,her dad,and her grandmother each ate 2/8. How much pizza did they eat altogether?

Vinil7 [7]

Answer:

6/8

Step-by-step explanation:

2/8 + 2/8 + 2/8 = 6/8.

Add the tops. Hope this helps :)

7 0

2 years ago

Read 2 more answers

Y = -4x + 6 y = -2x - 2 Solve for x and y

Oduvanchick [21]

Answer:

(4,-10)

Step-by-step explanation:

You set them equal to each other.

You get x=4

Sub in 4 for one of the equations

y=-10

7 0

2 years ago

Read 2 more answers

Find the sum. Include all calculations in your answer.

Andreas93 [3]

Answer:

- 2 2/7

Step-by-step explanation:

First, do the conversion:

[-(6*7)+3]/7 = -39/7

[(3*7)+2]/7 = 23/7

Then calculate the result:

23/7 - 39/7 = -16/7 or - 2 2/7

6 0

3 years ago