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RUDIKE [14]
3 years ago
5

Sara says, “if you subtract 19 from my number and multiply the difference by -5, the result is -40. is Sara’s number?

Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0

Answer:

Sara's number is 27

Step-by-step explanation:

27-19=8

-5*8=-40

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3 years ago
Read 2 more answers
Given sin theta = 1/3 and 0 theta pi/2 find tan 2 theta
Kazeer [188]

Answer:

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Step-by-step explanation:

Given: \sin\theta = \dfrac{1}{3}

0\leq \theta \leq \dfrac{\pi}{2}

Theta lie in first quadrant.

Multiply both sides by 2

0\leq 2\theta \leq \pi

2theta lie in I and II quadrant.

\tan2\theta is positive in I and negative in II quadrant.

\sin\theta=\dfrac{1}{3}

\cos\theta=\dfrac{2\sqrt{2}}{3}

\sin2\theta=2\sin\theta\cos\theta

\sin2\theta=2\cdot \dfrac{1}{3}\cdot \dfrac{2\sqrt{2}}{3}=\dfrac{4\sqrt{2}}{9}

\cos2\theta=\pm \sqrt{1-\sin^22\theta}=\pm\dfrac{7}{9}

\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Hence, The value of \tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

5 0
3 years ago
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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%20x%2B%5Cfrac%7B1%7D%7B2%7D%20%3D%5Cfrac%7B3%7D%7B4%7D" id="TexFormula1"
kotegsom [21]

Answer:

x = \frac{5}{8}

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

6 0
3 years ago
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