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An archaeologist found a fossil that has a length of [tex]$50.76 \text{ ft}$[/tex]. Use the table of facts to find the length of the fossil in inches. Round your answer to the nearest tenth.

\begin{tabular}{|r|}
\hline Conversion facts for length \\
\hline 12 inches [tex]$( in ) = 1$[/tex] foot [tex]$( ft )$[/tex] \\
\hline 3 feet [tex]$( ft ) = 1$[/tex] yard [tex]$( yd )$[/tex] \\
\hline 36 inches [tex]$( in ) = 1$[/tex] yard [tex]$( yd )$[/tex] \\
\hline 5280 feet [tex]$( ft ) = 1$[/tex] mile [tex]$( mi )$[/tex] \\
\hline 1760 yards [tex]$( yd ) = 1$[/tex] mile [tex]$( mi )$[/tex] \\
\hline
\end{tabular}

[tex]\[\boxed{\text{in}}\][/tex]



Answer :

GinnyAnswer
To find the length of the fossil in inches given that its length is [tex]\(50.76\)[/tex] feet, we will use the conversion fact that [tex]\(1\)[/tex] foot is equal to [tex]\(12\)[/tex] inches.

First, we start with the given length of the fossil in feet:
[tex]\[ 50.76 \, \text{ft} \][/tex]

We need to convert this length into inches. Knowing that [tex]\(1\)[/tex] foot equals [tex]\(12\)[/tex] inches, we can multiply the number of feet by the number of inches per foot:
[tex]\[ 50.76 \, \text{ft} \times 12 \, \text{in/ft} \][/tex]

Carrying out the multiplication:
[tex]\[ 50.76 \times 12 = 609.12 \, \text{inches} \][/tex]

Next, we need to round the result to the nearest tenth. The result [tex]\(609.12\)[/tex] inches, when rounded to the nearest tenth, is [tex]\(609.1\)[/tex] inches.

Therefore, the length of the fossil in inches, rounded to the nearest tenth, is:
[tex]\[ \boxed{609.1 \, \text{inches}} \][/tex]

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