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Doss [256]
4 years ago
15

How to write an equivalent expression for n times a using only addition

Mathematics
1 answer:
Alina [70]4 years ago
6 0
How to write an equivalent expression for n time a using o
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What is the value of y?
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Answer: y=2\sqrt{3}

Step-by-step explanation:

Apply:

tan\alpha=\frac{opposite}{adjacent}

Use the length and the angle given in the triangle of the left to calculate the adjacent side (which we will call x) of the triangle of the right:

sin(45)=\frac{x}{2\sqrt{2}}\\x={2\sqrt{2}*sin(45)\\x=2

Then you must substitute and solve for y:

tan\alpha=\frac{opposite}{adjacent}

\alpha=60\°\\adjacent=2\\opposite=y

y=2*tan(60)=2\sqrt{3}

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