Answer:
The answer is C
Sn=3(1-1/2^n)
Step-by-step explanation:
Check the picture below.
so the area of the hexagon is really just the area of two isosceles trapezoids.
![\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=2\\ b=4\\ h=2 \end{cases}\implies \begin{array}{llll} A=\cfrac{2(2+4)}{2}\implies A=6 \\\\\\ \stackrel{\textit{twice that much}}{2A = 12} \end{array}](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20h%3Dheight%5C%5C%20a%2Cb%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20a%3D2%5C%5C%20b%3D4%5C%5C%20h%3D2%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20A%3D%5Ccfrac%7B2%282%2B4%29%7D%7B2%7D%5Cimplies%20A%3D6%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Btwice%20that%20much%7D%7D%7B2A%20%3D%2012%7D%20%5Cend%7Barray%7D)
Answer:
X= 43/3
Step-by-step explanation:
-1/4 x 5 = 3/4x - 12
-5/4=3/4x -12
-5=3x - 48
-3x-5 = -48
-3x = -48 + 5
-3x= -43
-3 x= -43
X= 43/3
Answer:
He must sell 1390 carrots
Step-by-step explanation:
30x + 300x/30 = 55500
40x = 55500
x = 1387.5
1387.5
multiply 30 by .3 to get $9 for 30 carrots
Then add $3 to this amount to get $12 dollars.
Divide 555 by 12 to get 46 R3.
Multiply 46 by 30 because its 46 bundles of 30 carrots
Then divide the 3 dollars by .3 for each carrot to get 10 carrots
1380+10 = 1390
