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4 years ago

Convert the expression 9 1/2 to radical form.

Mathematics

1 answer:

Brut [27]4 years ago

6 0

Answer:

19/2

Step-by-step explanation:

Simplify the following:

9 + 1/2

Put 9 + 1/2 over the common denominator 2. 9 + 1/2 = (2×9)/2 + 1/2:

(2×9)/2 + 1/2

2×9 = 18:

18/2 + 1/2

18/2 + 1/2 = (18 + 1)/2:

(18 + 1)/2

18 + 1 = 19:

Answer: 19/2

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Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

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So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

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So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

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