Answer:
b)11
since 11^2 is 11*11 = 12
and when you take the square root of 121
we get 11
(in b- √11^2) , it cancels out the square
square root cancels square since they perform opposite functions
Answer:
20 percent chance or 2/10
Step-by-step explanation:
I dont really know what your asking but I need the points. if the question is asking what I'm thinking that should be correct
Volume of Cylinder =
![\pi r^{2}h](https://tex.z-dn.net/?f=%20%5Cpi%20r%5E%7B2%7Dh)
Based on what we're told:
r (radius) =
![\frac{s}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bs%7D%7B2%7D%20)
h (height) =
![s](https://tex.z-dn.net/?f=s)
So:
Volume of cylinder =
![\pi (\frac{s}{2})^{2}(s)](https://tex.z-dn.net/?f=%20%5Cpi%20%28%5Cfrac%7Bs%7D%7B2%7D%29%5E%7B2%7D%28s%29)
=
Answer: see below
<u>Step-by-step explanation:</u>
![sin\ \theta=\dfrac{y}{r}=\dfrac{84}{85}\qquad \qquad \text{Quadrant I implies both x and y are positive}\\\\\\\\\text{Use Pythagorean Theorem to find x:}\\x^2+\ y^2=r^2\\x^2+84^2=85^2\\x^2\qquad =85^2-84^2\\x^2\qquad =169\\.\qquad x =13\\](https://tex.z-dn.net/?f=sin%5C%20%5Ctheta%3D%5Cdfrac%7By%7D%7Br%7D%3D%5Cdfrac%7B84%7D%7B85%7D%5Cqquad%20%5Cqquad%20%5Ctext%7BQuadrant%20I%20implies%20both%20x%20and%20y%20are%20positive%7D%5C%5C%5C%5C%5C%5C%5C%5C%5Ctext%7BUse%20Pythagorean%20Theorem%20to%20find%20x%3A%7D%5C%5Cx%5E2%2B%5C%20y%5E2%3Dr%5E2%5C%5Cx%5E2%2B84%5E2%3D85%5E2%5C%5Cx%5E2%5Cqquad%20%3D85%5E2-84%5E2%5C%5Cx%5E2%5Cqquad%20%3D169%5C%5C.%5Cqquad%20x%20%3D13%5C%5C)
Input x = 13, y = 84, r = 85 into the trig functions:
![\sin\ \theta=\dfrac{y}{r}=\large\boxed{\dfrac{84}{85}}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\large\boxed{\dfrac{85}{84}}\\\\\\\\\cos\ \theta=\dfrac{x}{r}=\large\boxed{\dfrac{13}{85}}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\large\boxed{\dfrac{85}{13}}\\\\\\\\\tan\ \theta=\dfrac{y}{x}=\large\boxed{\dfrac{84}{13}}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\large\boxed{\dfrac{13}{84}}](https://tex.z-dn.net/?f=%5Csin%5C%20%5Ctheta%3D%5Cdfrac%7By%7D%7Br%7D%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B84%7D%7B85%7D%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Ccsc%20%5Ctheta%3D%5Cdfrac%7Br%7D%7By%7D%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B85%7D%7B84%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5Ccos%5C%20%5Ctheta%3D%5Cdfrac%7Bx%7D%7Br%7D%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B13%7D%7B85%7D%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Csec%20%5Ctheta%3D%5Cdfrac%7Br%7D%7Bx%7D%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B85%7D%7B13%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5Ctan%5C%20%5Ctheta%3D%5Cdfrac%7By%7D%7Bx%7D%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B84%7D%7B13%7D%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Ccot%20%5Ctheta%3D%5Cdfrac%7Bx%7D%7By%7D%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B13%7D%7B84%7D%7D)