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katen-ka-za [31]
3 years ago
7

What is the image below simplified as a fraction?

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

Answer:

159.8195397043133

Step-by-step explanation:

2²⁰

------------------ = 159.8195397043133

3⁸

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Step-by-step explanation:

Bc is also 20 answer is 400

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What are the values of x and y?
scZoUnD [109]

Answer:

x is equal to 24 and y is equal to 66.

Step-by-step explanation:

In order to find the value of y, we first have to note that the unlabeled angle in the larger triangle, y and the 78 degree angle create a straight line. The unlabeled angle is equal to 36 since it and the other two angles equal 180. So we take that 36, 78 and y and can set that equal to 180.

36 + 78 + y = 180

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y = 66

Now that we have that value, we can use y and the 90 degree angle to find x.

x + y + 90 = 180

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3 0
3 years ago
What is the exact value of sin 45° ?<br><br>enter your answer, as a simplified fraction.
Ne4ueva [31]

Look at the picture.

Use the Pythagorean theorem:

b^2=a^2+a^2\\\\b^2=2a^2\to b=\sqrt{2a^2}\\\\b=\sqrt{a^2}\cdot\sqrt2\\\\b=a\sqrt2

\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\theta=45^o,\ opposite=a,\ hypotenuse=a\sqrt2

substitute

\sin45^o=\dfrac{a}{a\sqrt2}=\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{\sqrt2}{2}

Answer: \sin45^o=\dfrac{\sqrt2}{2}

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