Hello Shaffer23,
All sides of a square are the same length so since the side is 10 units
Perimeter=40units
but to find the area of a square it is BasexHeight
10x10
Area is 100
So the answer would be the units for area
~Naterator
Please Thank and Rate If This Is Helpful <3
There is a not so well-known theorem that solves this problem.
The theorem is stated as follows:
"Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides" (Coxeter & Greitzer)
This means that for a triangle ABC, where angle A has a bisector AD such that D is on the side BC, then
BD/DC=AB/AC
Here either
BD/DC=6/5=AB/AC, where AB=6.9,
then we solve for AC=AB*5/6=5.75,
or
BD/DC=6/5=AB/AC, where AC=6.9,
then we solve for AB=AC*6/5=8.28
Hence, the longest and shortest possible lengths of the third side are
8.28 and 5.75 units respectively.
8/3 is your simplified answer
100 - 76.45 = 23.55.
23.55 - 13.55 = 10
He owes $10.
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Price elasticity is defined as
![\frac{\Delta(quantity)}{\Delta(price)}](https://tex.z-dn.net/?f=%5Cfrac%7B%5CDelta%28quantity%29%7D%7B%5CDelta%28price%29%7D)
.
Here, the question has omitted to define variables, so we will ASSUME
p=price
x=variable,
and we're given
p+x^2-160=0
We calculate
![\delta{x}/\delta{p}](https://tex.z-dn.net/?f=%5Cdelta%7Bx%7D%2F%5Cdelta%7Bp%7D)
by implicit differentiation with respect to p:
1+2x (dx/dp)=0
=>
E(x)=(dx/dp)=-1/(2x)
Therefore the price elasticity at x=65 is
E(65)=1/(2*65) =-1/130 (approximately -0.00769)