Answer:
See the proof below.
Step-by-step explanation:
For this case we need to proof the following indentity:

So we need to begin with the definition of tangent, we know that
and we can do this:
(1)
We also have the following identities:


Now we can apply those identities into equation (1) like this:
(2)
We can divide numerator and denominator from expression (2) by
we got this:

And simplifying we got:

And that complete the proof.
Step-by-step explanation:
n/12=10
n=10*12
n=120
Answer:

Step-by-step explanation:
<em>Hey there!</em>
3x * x = 3x^2
3x * 2x = 6x^3
So 3x is a factor of 3x^2 - 6x^3.
<em>Hope this helps :)</em>
We need the graphing tool.
Answer:
162.4 in²
Step-by-step explanation:
LETS GET INTOOOOEEETTT
Let's start with what we know:
Area of regular octagon = 1/2 x perimeter x apothem
We know the apothem, so all that we need to find to fill in the above equation is the perimeter:
perimeter = 8 x 5.8 = 46.4in
Now we can fill in our original equation and solve:
Area of regular octagon = 1/2 x perimeter x apothem
Formula = n (s/2)² divided by tan( π /n)
= 8 (5.8/2)² divided by tan ( π /8)
= 162.4283 in²
ORRR when rounded to the nearest tenth,
=162.4 in²