Answer:
5
Step-by-step explanation:
![\because \triangle ACB \cong \triangle DCE... (given) \\\therefore \angle A \cong \angle D... (c.a.c.t)\\\therefore m\angle A = m\angle D\\\therefore 50\degree = 10x\\\\\therefore x = \frac{50\degree}{10}\\\\\huge \orange {\boxed {\therefore x = 5\degree}}](https://tex.z-dn.net/?f=%20%5Cbecause%20%5Ctriangle%20ACB%20%5Ccong%20%5Ctriangle%20DCE...%20%28given%29%20%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20%5Cangle%20A%20%5Ccong%20%5Cangle%20D...%20%28c.a.c.t%29%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20m%5Cangle%20A%20%3D%20m%5Cangle%20D%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%2050%5Cdegree%20%3D%2010x%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20x%20%3D%20%5Cfrac%7B50%5Cdegree%7D%7B10%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Chuge%20%5Corange%20%7B%5Cboxed%20%7B%5Ctherefore%20x%20%3D%205%5Cdegree%7D%7D%20)
Answer:
![h=\frac{SA-2\pi r^2}{2\pi r}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7BSA-2%5Cpi%20r%5E2%7D%7B2%5Cpi%20r%7D)
Step-by-step explanation:
The formula for the surface area of a cylinder is:
![SA=2\pi r^2+2\pi rh](https://tex.z-dn.net/?f=SA%3D2%5Cpi%20r%5E2%2B2%5Cpi%20rh)
And we want to solve for the height h.
First, subtract
from both sides. This yields:
![2\pi rh=SA-2\pi r^2](https://tex.z-dn.net/?f=2%5Cpi%20rh%3DSA-2%5Cpi%20r%5E2)
Now, divide both sides by
. This yields:
![h=\frac{SA-2\pi r^2}{2\pi r}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7BSA-2%5Cpi%20r%5E2%7D%7B2%5Cpi%20r%7D)
And we're done!
1/3 of a foot = 4 inches
(4^3)*3=
(4*4*4)*3=
(16*4)*3=
64*3=
192
Answer:
![s\geq 23](https://tex.z-dn.net/?f=s%5Cgeq%2023)
Step-by-step explanation:
We are given that a student needs to make a square cardboard piece.
Perimeter of cardboard should be equal to atleast 92 inches
We have to find that which shows reasonable domain for f(s)
Let s be the side of square cardboard
We know that perimeter of square =f(s=)![4\times side](https://tex.z-dn.net/?f=4%5Ctimes%20side)
Then, perimeter of cardboard=![4s](https://tex.z-dn.net/?f=4s)
![4s\geq 92](https://tex.z-dn.net/?f=4s%5Cgeq%2092)
Dividing by 4 on both sides
![s\geq 23](https://tex.z-dn.net/?f=s%5Cgeq%2023)
Hence, the domain of function![[23,\infty)](https://tex.z-dn.net/?f=%20%5B23%2C%5Cinfty%29)
Therefore, option d is true.
Answer:d: ![s\geq 23](https://tex.z-dn.net/?f=s%5Cgeq%2023)
Answer:
2(7y+19)
Step-by-step explanation:
14y+38=2(7y+19)