Answer:

Step-by-step explanation:
Given:
The function 'g(x)' is given as:

Now, the function 'f(x)' is given as:

So, the function 'f(x)' is a transformation of 'g(x)'.
In order to find f(x), we replace 'x' by
in the 'g(x)' function equation. This gives,

Using the identity
, we get:

Hence the function f(x) is given as:

When I saw this, I said to myself "Self ! We don't know anything about
decagons.", and then I went searching online for stuff about decagons.
This just goes to show how stupid I can be when I don't take a little time
to THINK before I go running around screaming.
-- When you draw all the lines from the center to the vertices of the
decagon, you'll have 10 little triangles.
-- The area of the whole thing is 161 square inches, so the area of each
little triangle is 1/10 of that . . . . . <em>16.1 square inches</em>.
-- The area of each little triangle is (1/2) (base) (height), just like
every other triangle.
The base is the 4.6 inches of one side of the decagon.
Area = (1/2) (base) (height)
Multiply each side by 2: 2 x area = (base) x (height)
Divide each side by (base): (2 x area) / (base) = height
Height = (2 x 16.1) / (4.6) = <em>7 inches</em> .
Let that be a lesson to both of us.
THINK before you jump.
So basically, think of a ratio as a fraction for these problems. You see the 2 numbers and you put the first one as the numerator and the second as your denominator. For example:
5 to 10
We would change this into:

Because the problem says to simplify, we can divide both sides by 5 and simplify it into:

If the problem says 5:10 instead of "5 to 10" it's the same problem just with different wording. If the numbers are labeled, the you can write the labels next to the number it corresponds with.
If you have any questions, feel free to ask down in the comments, I'll be happy to work with you!
Answer:
180
Step-by-step explanation: