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2 years ago

63/50 as a percentage??

Mathematics

2 answers:

Ludmilka [50]2 years ago

5 0

Answer:

126% out of 100.

Step-by-step explanation:

First of all, are you sure it was 63 out of 50?

Second of all, all you have to do is times bothe by two to get the answer I did.

Please tell me if I'm wrong in the comments.

aniked [119]2 years ago

4 0

Step-by-step explanation:

Percentages are over 100.

<u>Multiply 63/50 by 2:</u>

<u /> $\frac{63\times 2}{50\times 2} =\frac{126}{100} =126\%$

Your answer is 126%.

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Setting $x=5\sin\theta$ , you have $\mathrm dx=5\cos\theta\,\mathrm d\theta$ . Then the integral becomes

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$\displaystyle\int\sqrt{25-25\sin^2\theta}\dfrac{\cos\theta}{\sin\theta}\,\mathrm d\theta$
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Long story short, this allows us to go from

$\displaystyle5\int\sqrt{\cos^2\theta}\dfrac{\cos\theta}{\sin\theta}\,\mathrm d\theta$

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Then integrate term-by-term to get

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Now undo the substitution to get the antiderivative back in terms of $x$ .

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and using basic trigonometric properties (e.g. Pythagorean theorem) this reduces to

$=-5\ln\left|\dfrac{5+\sqrt{25-x^2}}x\right|+\sqrt{25-x^2}+C$

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