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aleksklad [387]
3 years ago
9

(PLEASE HELP ASAP PLEASE EXPLAIN ALSO PLEASE AND THANK YOU)

Mathematics
1 answer:
Lelu [443]3 years ago
7 0

Answer:

Step-by-step explanation:

Positive rational numbers will be in the right side of the number line.

Negative rational numbers will be in the right side of the number line.

18.256 will be lying in between 18.25 and 18.26

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A box with a height (x+5) has a square base with side x. A second box with height (x+2) has a square base with side (x+5). If th
sergeinik [125]

Answer :

x = -1.43

Explanation :

As given ,

The first box has a height (x+5) has a square base with side x

So, the Length and Breadth of the box are x and x respectively.

Now,

The volume of first box = Length×Breadth×Height

                                       = (x).(x).(x+5)

                                       = x²(x+5)

⇒The volume of first box = x²(x+5)

Now,

Given that , the second box with height (x+2) has a square base with side (x+5).

So, the Length and Breadth of the box are (x+5) and (x+5) respectively.

Now,

The volume of second box = Length×Breadth×Height

                                             =  (x+5). (x+5).(x+2)

                                              = (x+5)²(x+2)

⇒The volume of second box =  (x+5)²(x+2)

Now,

Given that,  the two boxes have the same volume

⇒x²(x+5) =  (x+5)²(x+2)

⇒x² =  (x+5)(x+2)

⇒x² =  x² + 2x + 5x + 10

⇒x² - x² =  7x + 10

⇒0 =  7x + 10

⇒ 7x = -10

⇒ x = -\frac{10}{7} = -1.43

⇒ x = -1.43

As volume of first box = x²(x+5) = (-1.43)²(-1.43+5) = 7.30 ≈ 7

As volume of second box =  (x+5)²(x+2) = (-1.43+5)²(-1.43+2) = 7.26 ≈ 7

At x = -1.43, Volume of both the boxes are same.

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Ilia_Sergeevich [38]

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