4 years ago

Combine like radicals to get your answer. image attached

Mathematics

1 answer:

Lena [83]4 years ago

3 0

I believe it’s -6 square root of 2 + 3 square root of 4 + 6 square root of 5

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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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jasenka [17]

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Step-by-step explanation:

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3 years ago

What percent of 67.5 is 7.02

Effectus [21]

The answer is that 7.02 is 10.4% of 67.5

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3 years ago

I think I have the right answer but i want to check. whats 9/2 ÷ 3/8

velikii [3]

Answer:

Step-by-step explanation:

flip the equations to multiplication

9/2×8/3

reduce numbers with greatest common factor 3

3/2×8

reduce number of greatest common factor 2

3×4

12 is the answer

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