Answer: ![r^\frac{1}{4}](https://tex.z-dn.net/?f=r%5E%5Cfrac%7B1%7D%7B4%7D)
Step-by-step explanation:
![\sqrt[44]{\frac{r^5}{r^-^6} }](https://tex.z-dn.net/?f=%5Csqrt%5B44%5D%7B%5Cfrac%7Br%5E5%7D%7Br%5E-%5E6%7D%20%7D)
When dividing by the same base (r) subtract exponents.
![\sqrt[44]{r^5^-^(^-^6^)}](https://tex.z-dn.net/?f=%5Csqrt%5B44%5D%7Br%5E5%5E-%5E%28%5E-%5E6%5E%29%7D)
![\sqrt[44]{r^5^+^6}](https://tex.z-dn.net/?f=%5Csqrt%5B44%5D%7Br%5E5%5E%2B%5E6%7D)
![\sqrt[44]{r^1^1}](https://tex.z-dn.net/?f=%5Csqrt%5B44%5D%7Br%5E1%5E1%7D)
A property of the roots say:
![\sqrt[n]{x^m}=x^\frac{m}{n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Em%7D%3Dx%5E%5Cfrac%7Bm%7D%7Bn%7D)
Therefore;
![\sqrt[44]{r^1^1}=r^\frac{11}{44}=r^\frac{1}{4}](https://tex.z-dn.net/?f=%5Csqrt%5B44%5D%7Br%5E1%5E1%7D%3Dr%5E%5Cfrac%7B11%7D%7B44%7D%3Dr%5E%5Cfrac%7B1%7D%7B4%7D)
Answer:
A
Step-by-step explanation:
Answer: x = 58°
Step-by-step explanation:
Sine = opposite leg ÷ hypotenuse
We need to find the hypotenuse first with the Pythagorean theorem.
a² + b² = c²
5² + 8² = c²
25 + 64 = c²
89 = c²
√c² = √89
c = 9.43398
c ≈ 9.43
Sine = opposite leg ÷ hypotenuse
Opp. leg - 8
Hypotenuse - 9.43
To find this, you have to use the calculator
Make sure the calculator is on scientific
If your calculator is on your computer and in full screen, find 8 ÷ 9.43 and then click sin⁻¹, you should get 58.03334
If your calculator is on your computer in mini screen, find 8 ÷ 9.43. This time, click the arrow that looks smth like this: ↑
When you do that, you should be able to see sin⁻¹, so you click that and you'll also get 58.03334
58.03334 ≈ 58
x = 58°
Hope I helped! Sorry I took so long