3 years ago

What is the value of \[ \sqrt[3]{125} \] ?

1 answer:

8 0

You need to use "tex" "/tex" with square brackets around the "tex" and "/tex" to wrap latex here...

$\sqrt[3]{125}=5 \ because \ 5^3=125$

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A line segment is divided in two segments, such that the ratio of the long segment to the short segment is equivalent to the go

vova2212 [387]

Answer:

9.271 inches.

Step-by-step explanation:

Let AC be the length of original line segment and point B divides it into two segments such that AB is longer and BC is smaller segment.

$AB+BC=AC=15$

We can describe the golden ratio as:

$\frac{AB}{BC}=\frac{AC}{AB}=1.618$

$\frac{AC}{AB}=1.618$

$\frac{15}{AB}=1.618$

$\frac{15}{1.618}=AB$

$9.270704=AB$

$AB=9.271$

We can verify our answer as:

$AB+BC=15$

$9.271+BC=15$

$9.271-9.271+BC=15-9.271$

$BC=5.729$

$\frac{AB}{BC}=1.618$

$\frac{9.271}{5.729}=1.618$

$1.618=1.618$

Hence proved.

Therefore, the length of the longer side would be 9.271 inches.

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Step-by-step explanation:

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Start by getting all terms with x on one side and all terms without on the other.

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