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kirill115 [55]
2 years ago
7

Convert the angle \theta=\dfrac{8\pi}{9}θ=

Mathematics
1 answer:
Olegator [25]2 years ago
8 0

Answer:

160°

Step-by-step explanation:

-Given the angle in radians as \theta=\dfrac{8\pi}{9}\ rad

-We know that  1 \ rad=\frac{180}{\pi}\textdegree

-Let our angle theta be X

#We therefore equate and cross multiply:

1\ rad=\frac{180}{\pi}\\\\\frac{8\pi}{9}=x\\\\\therefore X=\frac{180}{\pi}\times \frac{8\pi}{9}\\\\=160\textdegree

Hence, angle θ is 160°

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When you have this type of problem, you need to combine the like-terms and isolate the variable.

3x + 122 = 22x - 11

Add 11 to both sides to get rid of it

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3x + 133 = 22x

Then you would bring the 3x to the other side, so subtract 3x from both sides

3x + 133 = 22x

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133 = 19x

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133/19 = 19x/19

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Hope this helps!!

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2 years ago
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