3 years ago

Scientific notation for 46,072,000

Mathematics

1 answer:

Sonbull [250]3 years ago

6 0

It would be 4.6 * 10^7

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Answer:

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Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of an house on a scale drawing in square inches

y ---> the actual area of the house in square feet

$z^2=\frac{x}{y}$

we have

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$y=2,025\ ft^2$

substitute

$z^2=\frac{25}{2,025}$

simplify

$z^2=\frac{1}{81}$

square root both sides

$z=\frac{1}{9}\ \frac{in}{ft}$

therefore

The scale of the drawing is $\frac{1}{9}\ \frac{in}{ft}$

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