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Nina [5.8K]
2 years ago
15

Each side of the cube is 8cm and the mass of the cube is 1,536g. What is the density of the cube?

Mathematics
1 answer:
skad [1K]2 years ago
5 0

Answer:

The volume is 8^3 = 512 cm^3, and the mass is 1,536g. So the density is 1,536/512 = 0.003 g/cm^3. (Note that the number of significant digits should be 1, as 8 cm being the side length of the cube is in one significant digit.)

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Rewrite the equation by completing the squares x^2-x-20
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                     ------------

                            2

Step-by-step explanation:

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x² - x - 20

Now we now write the equation by equating to 0

x² - x - 20 = 0

We now move 20 to the other side of the equation. So

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We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes

x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²

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( x - ¹/₂ )²       = 20  + ¹/₄, we now resolve the right hand side expression into fraction

( x - ¹/₂ )²          =  ⁸¹/₄ when the LCM is made 4

Taking the square root of both side to remove the square,we now have

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x - ¹/₂               =     √⁸¹/₂

Therefore,

                    x = ¹/₂ ± √⁸¹

                          -----------

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