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3 years ago

I don’t understand please help

Mathematics

1 answer:

Katarina [22]3 years ago

8 0

Y= 4/1 x -9 :) djsjsjdndndndj

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Which number is the smallest? 5.6123 5.6245 5.6023 5.6985

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Convert R=(12)/4+8sin the theta to rectangular form

kompoz [17]

$r=\dfrac{12}{4+8\sin\theta}=\dfrac3{1+2\sin\theta}$

Let $y=2\sin\theta$ , and recall that in polar coordinates, $r=\sqrt{x^2+y^2}$ . This means you have

$\sqrt{x^2+y^2}=\dfrac3{1+y}$

You can stop there, or try to find something that looks somewhat nicer.

$x^2+y^2=\dfrac9{(1+y)^2}$

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Angles U and V are supplementary angles. The ratio of their measures is 7:13 Find the measure of each angle

GREYUIT [131]

If $u$ and $v$ are <span>supplementary angles, then

$u+v=180^{\circ}~~~~~\mathbf{(i)}$

The ratio of $u$ and $v$ is $\dfrac{7}{13}:$ <span>

$\dfrac{u}{v}=\dfrac{7}{13}\\\\\\ u=\dfrac{7v}{13}~~~~\mathbf{(ii)}$

Substitute $\mathbf{(ii)}$ into $\mathbf{(i)}:$

$\dfrac{7v}{13}+v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+1 \right )\cdot v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+\dfrac{13}{13} \right )\cdot v=180^{\circ}\\\\\\ \dfrac{20}{13}\cdot v=180^{\circ}\\\\\\ v=180^{\circ}\cdot \dfrac{13}{20}\\\\\\ \boxed{\begin{array}{c} v=117^{\circ} \end{array}}$

From $\mathbf{(i)},$ we find the measure of $u:$

$u=180^{\circ}-v\\\\ u=180^{\circ}-117^{\circ}\\\\ \boxed{\begin{array}{c} u=63^{\circ} \end{array}}$

</span></span>

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Answer:

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Step-by-step explanation:

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