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atroni [7]
3 years ago
8

1. A piece of steel has a volume of 12 cm3 and a mass of 96g. What is its density?

Mathematics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

it's density is 8 g /cm³

Step-by-step explanation:

Mass (m) = 96 g

Volume (v) = 12 cm³

Density (d) =?

We know density is defined as mass per unit volume so

d = m/v

= 96 / 12

= 8 g/cm³

Hope it will help :)

Note : if in the question it is said to write in sI system u have to write in kg/m³.

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about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.

5, 8, 13 are no dice, namely 5² + 8² ≠ 13

25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²

however, 5,12 and 13 are indeed a pythagorean triple

also is 39, 80, 89.

when looking for a pythagorean triple, recall that c² = a² + b².

so the longest leg is the sum of the square of the small ones.

so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.

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