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3 years ago

12

Find the value of X express each answer as a decimal rounded to the nearest tenth.

1 answer:

VMariaS [17]3 years ago

3 0

Answer:

x = 15.6

Step-by-step explanation:

use the pythagorean theorem:

a² + b² = c²

a = 9

b = x

c = 18

(9)² + x² = (18)²

81 + x² = 324 subtract 81 from both sides

x² = 243 take the square root of both sides

x = √243

x = 15.6

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A page should have perimeter of 42 inches. The printing area within the page

Tamiku [17]

Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

<u>Step-by-step explanation:</u>

We have , A page should have perimeter of 42 inches. The printing area within the page would be determined by top and bottom margins of 1 inch from each side, and the left and right margins of 1.5 inches from each side. let's assume width of the page be x inches and its length be y inches So,

Perimeter = 42 inches

⇒ $2(x+y) = 42\\x+y = 21\\y = 21-x$

width of printed area = x-3 & length of printed area = y-2:

area = $length(width)$

$area = (x-3)(y-2)\\area = (x-3)(21-x-2)\\area = (x-3)(19-x)\\area = -x^{2} + 22x -57$

Let's find $\frac{d(area)}{dx}$ :

$\frac{d(area)}{dx}$ = $\frac{d(-x^{2}+22x-57)}{dx} = -2x +22$ , for area to be maximum $\frac{d(area)}{dx}$ = 0

⇒ $-2x+22 = 0\\2x =22\\x=11 inches$

And ,

$y = 21-x\\y = 21-11\\y = 10 inches$

∴ Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

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3 years ago

Joe paid 14.00 for a board game this is 70% off the original price what is the original price?

soldi70 [24.7K]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.

Let the original price of board game be x.

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$x\times \frac{7}{10}=14$

Multiply both sides by 10.

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Divide both sides by 7.

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The original price is 20. Therefore the correct option is B.

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