There is a regular dodecahedron with all the points connected to each other. What is the area if each of the shales formed if the distance between each Point is x?

18581.16

Step-by-step explanation:

The area of each of the shale can be calculated as

distance between each point = x

The area of the regular Dodecahedron

A =

where a = number of edges = 30

hence the area of the regular dodecaheron = 18581.16

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.