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OLEGan [10]
3 years ago
12

It takes a hose 4 minutes to fill a rectangular aquarium 11 inches long, 12 inches wide and 13 inches tall. How long will

Mathematics
1 answer:
Softa [21]3 years ago
7 0

Answer:

38 minutes

Step-by-step explanation:

Volume of the first aquarium:

  • V = lwh = 11*12*13 =  1716 in³

Volume of the second aquarium

  • V = 21*24*32 = 16128 in³

The second aquarium is:

  • 16128/1716 = 9.4 times bigger by volume

It will take

  • 4*9.4 ≈ 38 minutes

to fill this aquarium

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<h3>Step-by-step explanation:</h3>

The radii and the chord together make an isosceles right triangle with legs 6 inches long. The hypotenuse of such a triangle is √2 times the leg length. So, the chord will be 6√2 in long.

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<em>Comment on isosceles right triangle</em>

It is worth remembering that the hypotenuse of an isosceles right triangle is √2 times the leg length. This is easily found using the Pythagorean theorem:

... c² = a² + b²

... c² = 1² + 1² = 2 . . . . for legs of length 1

... c = √2 . . . . . . . . . . take the square root.

Scale this result as needed for any particular problem. Here, the scale factor is 6 inches.

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