3 years ago

Please Help!! ASAP 50 POINTS!!!!!!!!

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

The statement will be m∠ABC = m∠GHI.

Reason: ∠ABC ≅ ∠GHI

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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

Of the 345 7th graders, 40% of them<br> are in band. How many 7 graders<br> are in band?

xz_007 [3.2K]

So first you find 10% which is 34.5
Then you multiply 10% by 4 to get 40% which is = 138

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2 years ago

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Рабочий изготовил за 1 час 17 деталей . А его ученик 12 деталей . Сколько деталей они изготовят за 7 часов совместной работы

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Answer:

203