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kolezko [41]
2 years ago
13

Marni danced in a contest to raise money for an animal shelter. Marni raised $30 plus $1.80 per minute that she danced. She rais

ed a total of $264.

Mathematics
1 answer:
Agata [3.3K]2 years ago
7 0

Answer:

130 minutes

Step-by-step explanation:

Expression:

y = 1.80x + 30

264 = 1.80x + 30

234 = 1.8x

324/1.8 = x

130 = x

Ya Boy danced for 2 hours

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Answer:

120

Step-by-step explanation:

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Find the rectangular coordinates of the point with the polar coordinates ordered pair 7 comma 2 pi divided by 3.
Morgarella [4.7K]

Answer:

\left(-\dfrac{7}{2},\dfrac{7\sqrt{3}}{2}\right).

Step-by-step explanation:

The given point is

\left(7,\dfrac{2\pi}{3}\right)

We need to find the rectangular coordinates of the given point.

If a polar coordinate is (r,\theta), then  

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y=r\sin theta

In the given point \left(7,\dfrac{2\pi}{3}\right),

r=7,\theta=\dfrac{2\pi}{3}

Now,

x=7\cos \dfrac{2\pi}{3}

x=7\cos \left(\pi-\dfrac{\pi}{3}\right)

x=-7\cos \left(\dfrac{\pi}{3}\right)

x=-7\left(\dfrac{1}{2}\right)

x=-\dfrac{7}{2}

and,

y=7\sin \dfrac{2\pi}{3}

y=7\sin \left(\pi-\dfrac{\pi}{3}\right)

y=7\sin \left(\dfrac{\pi}{3}\right)

y=7\left(\dfrac{\sqrt{3}}{2}\right)

y=\dfrac{7\sqrt{3}}{2}

Therefore, the required point is \left(-\dfrac{7}{2},\dfrac{7\sqrt{3}}{2}\right).

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Answer:

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= 3.875 lb

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3 years ago
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