AveerN663201 AveerN663201
  • 03-11-2022
  • Mathematics
contestada

An object is moving at a speed of 6 feet per year. Express this speed in miles per year. Round your answer To the nearest thousandth

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ElijiahO550570 ElijiahO550570
  • 03-11-2022

We know that 1 mile is equivalent to 5280 feet. So we have that

[tex]6\frac{ft}{year}=6\frac{ft}{year}\times(\frac{1mile}{5280ft})[/tex]

which gives

[tex]\begin{gathered} 6\frac{ft}{year}=6\frac{ft\times1mile}{year\times5280ft} \\ 6\frac{ft}{year}=\frac{6}{5280}\frac{mile}{year} \end{gathered}[/tex]

Therefore, we get

[tex]6\frac{ft}{year}=0.0011363\frac{mile}{year}[/tex]

By rounding to the nearest thousandth, the answer is:

[tex]0.001\frac{mile}{year}[/tex]

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