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diamong [38]
4 years ago
8

What is the percent of increase from 50 to 90?

Mathematics
2 answers:
iogann1982 [59]4 years ago
5 0
The answer would be A.40% because 90%-50% and 9-5=4 so your answer would be 40% because you would bring down your zero
grin007 [14]4 years ago
3 0
We are given with two numbers: the initial one is 50 while the final one is 90. In this problem, we are asked to determine the percent increase of the two numbers. The formula to be followed is (final - initial) / initial * 100 percent. Upon substitution, % = (90 - 50) / 50 *100 % equal to 80 percent 
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Solution :

It is given that :

$\alpha$ lies in the first quadrant.

And $\beta$ lies in the fourth quadrant.

Since, $\sin \alpha = \frac{5}{13}$     and $\cos \beta = \frac{6}{\sqrt{85}}$    (given)

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$\cos \alpha = \sqrt{1-\sin^2 \alpha}$

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Similarly  $\cos \beta = \frac{6}{\sqrt{85}}$

$\sin \beta = \sqrt{1-\cos^2 \beta}$

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Therefore,

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

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