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3 years ago

6

Which list shows the numbers in order from least value to greatest value

1 answer:

Alina [70]3 years ago

8 0

The answer is H

Explanation: what I did was change all of the numbers into decimal form so that we can compare them easier, -2 1/2= -2.5, -2.47 stays the same, -2/5 becomes positive .4 because the entire fraction is negative, you can look at it like -2/-5 and a negative divided by a negative is a positive, And then 5 stays a 5, And 21/4 equals 5.25 therefore your answer is H

Oh and by the way if you don’t know how to turn a fraction into a decimal you simply divide the top number by the bottom number for example 1/2 you take 1 and divide it by 2 which gives you .5 or 12/13 = .923076 hope this makes sense and that this helped

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eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

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we have that

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so

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substitute

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$sin^2(\alpha)=\frac{225}{289}$

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step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

so

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

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substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

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step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

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$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

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