Answer: The length of the second arc is 12 feet.
Step-by-step explanation:
Since we know that
A rope is swinging in such a way that the length of the arc is decreasing geometrically,
Length of first arc = 18 feet
Length of third arc = 8 feet
Let the length of second arc be x
As we know that
![\frac{a_2}{a_1}=\frac{a_3}{a_2}\\\\\frac{x}{18}=\frac{8}{x}\\\\x^2=18\times 8\\\\x^2=144\\\\x=\sqrt{144}\\\\x=12](https://tex.z-dn.net/?f=%5Cfrac%7Ba_2%7D%7Ba_1%7D%3D%5Cfrac%7Ba_3%7D%7Ba_2%7D%5C%5C%5C%5C%5Cfrac%7Bx%7D%7B18%7D%3D%5Cfrac%7B8%7D%7Bx%7D%5C%5C%5C%5Cx%5E2%3D18%5Ctimes%208%5C%5C%5C%5Cx%5E2%3D144%5C%5C%5C%5Cx%3D%5Csqrt%7B144%7D%5C%5C%5C%5Cx%3D12)
Hence, the length of the second arc is 12 feet.
Number x percent turned into decimal
39 x 0.666666666 = 26
Answer lol i dont know
Step-by-step explanation:
Answers: ![x](https://tex.z-dn.net/?f=x%3C-8)
1. Switch sides
![-9x+8>80](https://tex.z-dn.net/?f=-9x%2B8%3E80)
2. Subtract by 8 from both sides of equation.
![-9x+8-8>80-8](https://tex.z-dn.net/?f=-9x%2B8-8%3E80-8)
3. Simplify.
![-9x>72](https://tex.z-dn.net/?f=-9x%3E72)
4. Multiply by -1 from both sides of equation. (it's should be the reverse inequality).
![(-9x)(-1)](https://tex.z-dn.net/?f=%28-9x%29%28-1%29%3C72%28-1%29)
5. Simplify.
![9x](https://tex.z-dn.net/?f=9x%3C-72)
6. Then you had to divide by 9 from both sides of equation.
![\frac{9x}{9}< \frac{-72}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B9x%7D%7B9%7D%3C%20%5Cfrac%7B-72%7D%7B9%7D)
7. Simplify.
![\frac{9x}{9}=x](https://tex.z-dn.net/?f=%5Cfrac%7B9x%7D%7B9%7D%3Dx)
8. Divide by the numbers.
![\frac{9}{9}=1](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B9%7D%3D1)
![=x](https://tex.z-dn.net/?f=%3Dx)
![\frac{-72}{9}=-8](https://tex.z-dn.net/?f=%5Cfrac%7B-72%7D%7B9%7D%3D-8)
9. Divide by the numbers.
![\frac{72}{9}=8](https://tex.z-dn.net/?f=%5Cfrac%7B72%7D%7B9%7D%3D8)
![=-8](https://tex.z-dn.net/?f=%3D-8)
![x](https://tex.z-dn.net/?f=x%3C-8)
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