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Allushta [10]
3 years ago
8

Guyyysss.. :) Help me solve this geometry problem

Mathematics
1 answer:
Lerok [7]3 years ago
8 0

Answer:

The question asks arc length:

\frac{ \frac{ \frac{2\pi}{3} }{2\pi} }{1}  =  \frac{1}{3}

Dividing by

2\pi

Because 360°(by formula)

Therefore:

\frac{1}{3}  \times  \frac{2\pi \times 8}{1}  =  \frac{16\pi}{3 }  = 5 \ \frac{\pi}{3}  \\ so \: arc \: length \: =  \frac{16\pi}{3}

Good luck!

Intelligent Muslim,

From Uzbekistan.

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The water she need is 7\frac{7}{8} \ cups. and strawberry syrup 11\frac{13}{16}\ cups.

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Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.

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As given in question ratio so:

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Let the strawberry syrup be \frac{9}{4} x.

And let the water be \frac{3}{4} x.

According to question:

\frac{9x}{4} + \frac{3x}{4}=\frac{63}{4}.

<em>On adding the fractions:</em>

⇒\frac{9x+3x}{4} =\frac{63}{4}

⇒\frac{12x}{4} =\frac{63}{4}

<em>Multiplying both sides by 4 we get:</em>

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<em>Dividing both sides by 12 we get:</em>

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<em>Dividing numerator and denominator by 3 on R.H.S we get:</em>

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Strawberry syrup =  \frac{9}{4}\times x=\frac{9}{4}\times\frac{21}{4}

                             =  \frac{189}{16}

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          = 7\frac{7}{8} \ cups.

Therefore, the water she need is 7\frac{7}{8} \ cups. and strawberry syrup 11\frac{13}{16}\ cups.

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