Step-by-step explanation:
The pendulum swings over an angle of 2×(2°30') or 5° so we need to convert this to radian measure first:

so the arc length is given by

Answer:
![\sqrt[8]x = x^\frac{1}{6}](https://tex.z-dn.net/?f=%5Csqrt%5B8%5Dx%20%3D%20x%5E%5Cfrac%7B1%7D%7B6%7D)
Step-by-step explanation:
Given:
![\sqrt[6] x](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%20x)
Required
Represent as an exponent
In indices, we have:
![\sqrt[n]x = x^\frac{1}{n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5Dx%20%3D%20x%5E%5Cfrac%7B1%7D%7Bn%7D)
By comparison:
![\sqrt[8]x = \sqrt[n]x](https://tex.z-dn.net/?f=%5Csqrt%5B8%5Dx%20%3D%20%5Csqrt%5Bn%5Dx)

Apply this law to the given expression:
We have:
![\sqrt[8]x = x^\frac{1}{6}](https://tex.z-dn.net/?f=%5Csqrt%5B8%5Dx%20%3D%20x%5E%5Cfrac%7B1%7D%7B6%7D)
Answer:
Let's say Joe Shmo, who runs a lemonade stand, gets in a situation with some bad guys near the bake sale stand. They say he has to give a third of his lemonade cups to them. If Joe Shmo has six cups of lemonade, how many cups will he have to give them?
Step-by-step explanation:
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Formula
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Sum of all exterior numbers = 360°
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Apply Formula
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z + 45 + 55 + 78 + 74 + z = 360
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Combine likes term
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2z + 252 = 360
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Take away 252 from both sides
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2z = 360 - 252
2z = 108
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Divide by 2 on both sides
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2z = 108
z = 108 ÷ 2
z = 54
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Find z + 45
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z + 45 = 54 + 45
z + 45 = 99°
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Answer: 99°
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