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3 years ago

What is redistricting a state for a political benefit

Social Studies

1 answer:

Vinvika [58]3 years ago

6 0

Answer:

"By law, the 43 states with more than one Representative must redistrict after each decennial census to account for population shifts within the state as well as (when necessary) to add or remove congressional districts."

Explanation:

source: wikipedia

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A rectangular page is designed to contain 81 square inches of print. The margins at the top and bottom of the page are each 1 in

Nookie1986 [14]

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 = $\frac{81}{x}$

Therefore, the area of the page is

A = (x + 3)(y + 2)

= (x + 3)( $\frac{81}{x}$ + 2)

Now for least amount of paper to be used,

$\frac{dA}{dx}=(x+3)(\frac{81}{x}+2)$

$\frac{dA}{dx}= \left (\frac{81}{x}+2 \right )+\left ( x+3 \right )\left ( -\frac{81}{x^{2}} \right )=0$

$\frac{81+2x}{x}=\frac{(x+3)(81)}{x^{2}}$

$81x+2x^{2}=81x+81\times 3$

$2x^{2}=243$

x = 11.02 inch

Now y = $\frac{81}{x}$

= $\frac{81}{11.02}$

= 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

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