3 years ago

Work out (3.6 x 10^-5) ÷ (1.8 x 10^2) give your answer in standard form

Mathematics

1 answer:

tatuchka [14]3 years ago

3 0

.000036/180=.0000002

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2 years ago

If f(x) = 3 x-2 what is f(5.9)

Korvikt [17]

$3(5.9) = 17.7 \: \: \: \: 17.7 - 2 = 15.7$

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3 years ago

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3 years ago

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

there are 32 students in 4th grade class.Each table in the classroom seats 6 students.how many tables will be needed

vagabundo [1.1K]

This question wants you to divide 32 tables by 6 students which is 5.3333. Since 5 tables is not enough, 6 tables are needed.

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3 years ago