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Oksi-84 [34.3K]
2 years ago
8

If the lengths of the legs of a right angle are 5 and 7, what is the length of the hypotenuse?

Mathematics
1 answer:
Natalija [7]2 years ago
6 0

Answer:

7^2 + 5^2 = 49 + 25 = 74

hypotenuse = square root of 74

Answer is B

Step-by-step explanation:

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Let sin(−θ)=−3/5 and tanθ>0. What is the value of cos(−θ)?
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Answer:

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Step-by-step explanation:

Given Trigonometric function as :

sin( - Ф ) = \frac{- 3}{5}

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So, sin Ф = \frac{ 3}{5}

Now, as sin Ф = \dfrac{\textrm perpendicular}{\textrm hypotenuse}

So ,  \dfrac{\textrm perpendicular}{\textrm hypotenuse} =  \frac{ 3}{5}

So, perpendicular = 3

And hypotenuse = 5

Now,<u> From Pythagoras Theorem</u>

Base ² = Hypotenuse² - Perpendicular²

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I.e Base = 4

Now, Cos Ф =  \dfrac{\textrm base}{\textrm hypotenuse}

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Now , Since

Cos ( - Ф ) = Cos Ф

So,  Cos ( - Ф ) = Cos Ф =  \dfrac{\textrm 4}{\textrm 5}

Hence The value of  Cos (-Ф) \dfrac{\textrm 4}{\textrm 5} . Answer

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A and B are complementary angles. If A = (x – 23)° and m
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Step-by-step explanation:

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Step-by-step explanation:

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