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Evgen [1.6K]
3 years ago
6

in a right triangle with one angle measuring 40 degrees, the leg opposite the 40 degree angle is 5cm. what is the length of the

hypotenuse?
Mathematics
1 answer:
frutty [35]3 years ago
5 0

ANSWER

7.8cm

EXPLANATION

Given an acute angle of the right triangle to be 40°, the two sides of the triangles involve are the opposite side and the hypotenuse.

The trigonometric ratio that, involves opposite side and the hypotenuse is the sine ratio.

\sin(40 \degree)  =  \frac{opposite}{hypotenuse}

\sin(40 \degree)  =  \frac{5}{hypotenuse}

hypotenuse =5÷sin(40°)

hypotenuse=7.77cm

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The  composition of transformations maps figure EFGH to figure E"F"G"H" is Option A.a reflection across line k followed by a translation down.

<h3>What is translation?</h3>

A translation can be explained as the movement of a shape in a direction which could be up, down but the appearance of the figure remain unchanged in any other way.

And from the figure, we can see that a translation is used, because of the movement of EFGH to figure E"F"G"H" which occurred in the same direction.

Hence,  composition of transformations maps figure EFGH to figure E"F"G"H" is Option A.a reflection across line k followed by a translation down.

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Is the fraction 1/15 a terminating or repeating decimal?
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The option B is the correct option.

Given information-

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[(r)^{-7}]^5

<h3>Power rule of exponents</h3>

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers.

Suppose<em> </em><em>x</em> is a number with power <em>a. </em>The power is power of the power of number <em>x. </em>Then by the power rule of the exponents,

(x^a)^b=x^{ab}

Using the power rule of the exponents given expression can be written as,

[(r)^{-7}]^6=(r)^{-7\times 6} &#10;

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The option B is the correct option.

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