Answer:
Side length of each booth is 8.35 ft approximately.
Step-by-step explanation:
There are 11 companies set up equal sized square booths in a row along one wall of a convention center.
Now, refer the diagram to answer the problem.
It is given area is 1200.
So, length x width =1200
(11x+24)(x+2)=1200
Multiply using FOIL method.
+22x+24x+48=1200
+46x+48-1200=0
+46x-1152=0
Solve using quadratic formula
x=![\frac{-46+/- \sqrt{46^{2}-4(11)(-1152 } }{2(11)}](https://tex.z-dn.net/?f=%5Cfrac%7B-46%2B%2F-%20%5Csqrt%7B46%5E%7B2%7D-4%2811%29%28-1152%20%7D%20%7D%7B2%2811%29%7D)
x=![\frac{-46+/-\sqrt{2116+50688} }{22}](https://tex.z-dn.net/?f=%5Cfrac%7B-46%2B%2F-%5Csqrt%7B2116%2B50688%7D%20%7D%7B22%7D)
x=![\frac{-46+/-\sqrt{52804} }{22}](https://tex.z-dn.net/?f=%5Cfrac%7B-46%2B%2F-%5Csqrt%7B52804%7D%20%7D%7B22%7D)
Simplify it
![x=\frac{-49+/- 229.79}{22}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-49%2B%2F-%20229.79%7D%7B22%7D)
Simplify to get two values for x.
x=8.35; x=-12.67
Here negative does not work.
Side length of each booth is 8.35 ft.
Answer:
20
Step-by-step explanation:
Given: F = 11, C = 11, E=?
By Euler's formula, we have:
![F + V - E = 2 \\ \therefore \: 11 + 11 - E = 2 \\ \therefore \:22 - E = 2 \\ \therefore \:22 - 2 = E \\ \huge \red{ \boxed{\therefore \: E = 20}}](https://tex.z-dn.net/?f=F%20%2B%20V%20-%20E%20%3D%202%20%5C%5C%20%20%5Ctherefore%20%5C%3A%2011%20%2B%2011%20-%20E%20%3D%202%20%5C%5C%20%20%5Ctherefore%20%5C%3A22%20-%20%20E%20%3D%202%20%5C%5C%20%20%5Ctherefore%20%5C%3A22%20-%20%202%20%3D%20E%20%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20E%20%3D%2020%7D%7D)
Hence, the solid will have 20 edges.
Answer:90
Step-by-step explanation:
Answer:
This is true
Step-by-step explanation:
Because a distribution of sample means is as the set of means from all the possible random samples of a specific size, selected from a specific given population.
Answer:
WATCH A VIDEO
Step-by-step explanation: