Answer:
x = 11.02 inch by y = 7.35 inch
Explanation:
Let the width of the print be = x
Then the width of the page is x + (1.5+1.5) = x + 3
Let the height of the print be = y
Then the height of the page is y + (1+1) = y + 2
Given the area of the print is 81 square inches
That means, xy = 81
Therefore, y = ![\frac{81}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B81%7D%7Bx%7D)
Therefore, the area of the page is
A = (x + 3)(y + 2)
= (x + 3)(
+ 2)
Now for least amount of paper to be used,
![\frac{dA}{dx}=(x+3)(\frac{81}{x}+2)](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdx%7D%3D%28x%2B3%29%28%5Cfrac%7B81%7D%7Bx%7D%2B2%29)
![\frac{dA}{dx}= \left (\frac{81}{x}+2 \right )+\left ( x+3 \right )\left ( -\frac{81}{x^{2}} \right )=0](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdx%7D%3D%20%5Cleft%20%28%5Cfrac%7B81%7D%7Bx%7D%2B2%20%20%5Cright%20%29%2B%5Cleft%20%28%20x%2B3%20%5Cright%20%29%5Cleft%20%28%20-%5Cfrac%7B81%7D%7Bx%5E%7B2%7D%7D%20%5Cright%20%29%3D0)
![\frac{81+2x}{x}=\frac{(x+3)(81)}{x^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B81%2B2x%7D%7Bx%7D%3D%5Cfrac%7B%28x%2B3%29%2881%29%7D%7Bx%5E%7B2%7D%7D)
![81x+2x^{2}=81x+81\times 3](https://tex.z-dn.net/?f=81x%2B2x%5E%7B2%7D%3D81x%2B81%5Ctimes%203)
![2x^{2}=243](https://tex.z-dn.net/?f=2x%5E%7B2%7D%3D243)
x = 11.02 inch
Now y = ![\frac{81}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B81%7D%7Bx%7D)
= ![\frac{81}{11.02}](https://tex.z-dn.net/?f=%5Cfrac%7B81%7D%7B11.02%7D)
= 7.35 inch
Therefore the dimensions of thr page for the least amount of paper is x = 11.02 inch by y = 7.35 inch
Answer: Nomadic
Explanation:
The answer can’t be sedentary because the meaning of sedentary is: sitting; seated.
So the answer would be Nomadic, meaning: 1 : of, relating to, or characteristic of nomads a nomadic tribe nomadic herders. 2 : roaming about from place to place aimlessly, frequently, or without a fixed pattern of movement a nomadic hobo.
Answer:empires long provided their citizens with stability in the form of large armies for protection, an increase in the trade of goods and ideas, and governments that enforced laws and justice.
Explanation:
As far as I could find, the following were a feature of the reformin 1996:
increased work requirements (especially after two years)
a five-year limit on benefits from federal funds
So these were definitely a feature.
Of the remaining two, it is true that the cash assistance was diminished in 1996.
So i think that the transportation vouchers were not provided. Additionally, I found that transportation costs can be deducted from taxes by the employers, and that there is a number of smaller programs providing transportation benefits, but I don't think that they were a major part of the reform (so the last option).
Mountains made farming difficult in both ancient and medieval Japan because it is easier to farm on flat land than on mountain land.
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