Answer:
You can use Unit rate to find the answer. (Divide)
Step-by-step explanation:
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.
Answer:
When raising an expression of that format to any power, after grouping like terms, you'll always find that the odd numbered terms are positive, and the even numbered terms are negative.
For example:
(x - y)² = x² − 2xy + y²
(x - y)³ = x³ − 3x²y + 3xy² − y³
(x - y)⁴ =x⁴ − 4x³y + 6x²y² − 4xy³ + y⁴
etc.
Answer:
Step-by-step explanation:
Assuming the problem is asking you to factor out the formula, it can be done easily by finding a common number with the two givens.
4 goes into both 12 and 16 evenly, so we will use this to factor. But that's not all, we have the n-variable to worry about.
Look at the n-variable exponents in the problem, take the highest power that can go be subtracted from both and use that. We have a 
and 
. Since 5 can't go into 3, we must use 3 to factor.
Our factoring variable will therefore be 
. Now, use this to simply divide and get the answer:
So how did we get this? For the whole numbers, we have to divide: (12/4, 16/4). Next, we have to minus the exponents since we are dividing.
When dividing the 12 and 4, minus the and to get 
. Get rid of the term for the 16 and leave the 4. And there's your answer!
