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nadya68 [22]
2 years ago
15

3/24 simplified fraction

Mathematics
2 answers:
Usimov [2.4K]2 years ago
8 0

Answer:

1/8

Step-by-step explanation:

1/8 is equivalent to 3/24 because you can divide both 24 and 3 by 3 which will make the equivalent fraction 1/8. please mark me as brainliest

Julli [10]2 years ago
4 0

Answer:

The lowest fraction it can be simplified to is 1/8.

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Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
Sever21 [200]
\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta

\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}

Since \alpha lies in quadrant II, we have \cos\alpha, so

\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}

\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}

\beta lies in quadrant I, so \sin\beta>0 and

\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}

So

\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}
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3 years ago
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Step-by-step explanation:

can i be brainliest

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