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3 years ago

A piece of string is 1650 cm long.

Mathematics

2 answers:

balandron [24]3 years ago

4 0

Answer: The smaller piece is 750m long.

Step-by-step explanation:

let the smaller piece be x

150m + x + x = 1650

150 + 2x = 1650

or, 2x = 1500

so, x = 750 m

slavikrds [6]3 years ago

3 0

Step-by-step explanation:

Length of a piece of string= 1650cm

First piece (x)= 150 + second piece(y)

x=150+y

Total length

x+y=1650

150+2y=1650

2y=1500

y=750cm

Smaller piece length is 750cm

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$576=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$

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$64=2\times 2\times 2\times 2\times 2\times 2$

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$\sqrt{\dfrac{576}{64} }=\dfrac{3}{1}$

Step-by-step explanation:

Simplify:

$\sqrt{\dfrac{576}{64} }$

Now,

Prime Factorization of 576

$576=2\times 288\\576=2\times 2\times 144\\576=2\times 2\times 2\times 72\\576=2\times 2\times 2\times 2\times 36\\576=2\times 2\times 2\times 2\times 2\times 18\\576=2\times 2\times 2\times 2\times 2\times 2\times 9\\576=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$

Prime Factorization of 64

$64=2\times 32\\64=2\times 2\times 16\\64=2\times 2\times 2\times 8\\64=2\times 2\times 2\times 2\times 4\\64=2\times 2\times 2\times 2\times 2\times 2$

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