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3 years ago

What angle is adjacent and supplementary to angle 5?

Mathematics

2 answers:

ladessa [460]3 years ago

8 0

Answer:

Step-by-step explanation:

Brut [27]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

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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

Alaina surveyed students on her bus about their homework.The data she gathered is shown in this two-way table.

Varvara68 [4.7K]

YOUR ANSWER MIGHT BE 2

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The ratio of the number of adults to the number of children in a library is 12:5. If there are 45 children in the library, how m

zysi [14]

The answer would be 108. 108:45 can be simplified to 12:5.

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3 years ago

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What values of b satisfy 3(2b + 3)2 = 36?

alexira [117]

To find the answer, you need to solve for b.

2(2b + 3) = 12 divide both sides by 3
2b + 3 = 6 divide both sides by 2
2b = 3 subtract 3 from both sides
b = 1.5 divide both sides by 2

b = 1.5 satisfies the equation. if you plug 1.5 in, you get that the equation is true.

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3 years ago

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Need help pleasee!! :(

stepan [7]

Answer:

4137.5 per year

Step-by-step explanation:

what you would do is take the number for private college and divide it by 8 years since you only want one year and divide that by four since it says four years and that would be your answer

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