Answer:
There will be 90 ways to reach Greenup from Charleston.
Step-by-step explanation:
<em>Option C: 90 is correct.</em>
Let's name all the ways and try to visualize the roads.
C = Charleston
M = Mattoon
T = Toledo
G = Greenup
Task = Charleston to Greenup. How many different ways to reach?
1 1
2 2 1
C 3 M 3 T 2 G
4 4 3
5 5
6
So, Refer to this above diagram.
If we Start from C then go to 1 and then go to M and then go to 1 and then go to T and then go to 1 and then go G.
If you notice, in this single possibility we have 3 ways: C to 1 to M, M to 1 to T, T to 1 to G.
It means we will have: 5 x 6 x 3 = 90 number of ways to reach greenup from Charleston.
Answer: OPTION D
Step-by-step explanation:
The formula for calculate the surface area of a rectangular prism is:
Where w is the width, h is the height and l is the length.
You can see in the figure attached that:
l=3.4ft
w=3ft
h=4.1ft
Therefore, when you substitute these values into the formula you obtain that the surface area is:
![SA_{rp}=2[(3ft*4.1ft)+(3.4ft*3ft)+(3.4ft*4.1ft)]=72.88ft^{2}](https://tex.z-dn.net/?f=SA_%7Brp%7D%3D2%5B%283ft%2A4.1ft%29%2B%283.4ft%2A3ft%29%2B%283.4ft%2A4.1ft%29%5D%3D72.88ft%5E%7B2%7D)
The sum of 2 sides of a triangle needs to be greater than the length of the 3rd side.
14 + 29 = 43 (this is greater than 41)
14 + 41 = 55 (this is greater than 29)
29 + 41 = 70 (this is greater than 14)
(14, 29,41) can form a triangle.
8 (3)-10
24-10=14
Hope this helped :)
