3 years ago

What is the smallest number by which 6400 must be multiplied to make a perfect cube?

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

3 0

Answer:

Step-by-step explanation:

i looked it up to be sure but if wrong very sorry.

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Options 1, 3 and 4 are true

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The legs EF and DF of the right triangle DEF have lengths of 24 units and 7 units, respectively. By the Pythagorean theorem,

$DE^2=EF^2+DF^2\\ \\DE^2=24^2+7^2\\ \\DE^2=576+49\\ \\DE^2=625\\ \\DE=25\ units$

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$\sin \angle D=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}$

$\cos \angle E=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}$

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What is the smallest number by which 6400 must be multiplied to make a perfect cube?​

What is the smallest number by which 6400 must be multiplied to make a perfect cube?