3 years ago

Is this a right triangle?Use the Pythagorean Theorem to find out! [picture above]

Mathematics

1 answer:

S_A_V [24]3 years ago

8 0

No, 10^2 + 14^2 ≠ 18^2

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What is m∠C?<br><br> Round the value to the nearest degree.

Elis [28]

Answer: $m\angle C=53\°$

Step-by-step explanation:

For this exercise you need to use the Inverse Trigonometric function arcsine, which is defined as the inverse function of the sine.

Then, to find an angle α, this is:

$\alpha =arcsin(\frac{opposite}{hypotenuse})$

In this case, you can identify that:

$\alpha =m\angle C\\\\opposite=AB=36\ cm\\\\hypotenuse=AC=45\ cm$

Then, substituting values into $\alpha =arcsin(\frac{opposite}{hypotenuse})$ and evaluating, you get that the measure of the angle "C" to the nearest degree, is:

$m\angle C=arcsin(\frac{36\ cm}{45\ cm})\\\\m\angle C=53\°$

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Answer:

$F=95\°$

Step-by-step explanation:

we know that

$C=\frac{5}{9}(F\°-32)$

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$C=35\°$

substitute the given value in the formula and solve for F

$35\°=\frac{5}{9}(F\°-32)$

$F-32=\frac{9}{5}(35)$

$F=\frac{9}{5}(35)+32$

$F=95\°$

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Is this a right triangle?Use the Pythagorean Theorem to find out! [picture above]​

Is this a right triangle?Use the Pythagorean Theorem to find out! [picture above]