Let the event 
The the probability of the events


The conditional probability

We can think of factoring as the opposite of the distributive property. If we take ax+bx, we just factor to get x(a+b) - it's the same thing. If you think of it like that, it provides great insight and a thoughtful memory strategy. Hope this helps!
We have that
y = (4/3)* cos (3/2)x----------> y = (4/3)* cos (1.5x)
using a graph tool
the answer
see the attached figure
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The area of a hexagon is
A= a^2 (3√3)/2
we replace a with 4
A=41.57