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3 years ago

-1/2 divided by -1 3/8

Mathematics

1 answer:

SOVA2 [1]3 years ago

4 0

Answer:8/10

Step-by-step explanation:

-1/2 ➗ -1 3/8

-1/2 ➗ -5/8

-1/2 x -8/5

(-1 x -8)/(2 x 5)

8/10

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Select all the equations that have the same solution as the equation 3x−12=24

evablogger [386]

Answer:

3x=36, so x=12

Step-by-step explanation:

5 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: <em>trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus</em>

7 0

3 years ago

Need help asap plzzz

Scilla [17]

$\sqrt{12}$
enters the irrational number category.

Integers numbers are the numbers without decimals between -infinity and infinity.

Natural numbers are the whole numbers from 1 to infinity.

Whole numbers are natural numbers + 0.

4 0

3 years ago

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What is the distance between the points (7, −4) and (7, 9)?

AlexFokin [52]

The answer to this question is C) 13

7 0

3 years ago

Can someone please solve this for me

Savatey [412]

Answer:

m<JKD = 22 degrees

Step-by-step explanation:

21x + 5 + 4x + 2 = 132

25x + 7 = 132

25x = 125

x = 5

m<JKD = 4x + 2

4(5) + 2

20 + 2

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3 years ago

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