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a human hair is 75.0 μm across. how many inches is this? incorrect, 6 a…

Question

a human hair is 75.0 μm across. how many inches is this? incorrect, 6 attempts remaining. your ratio between in and m in your second conversion factor is incorrect. the table of conversion factors below may help you determine the correct ratio for the factor. length: 1 km = 0.62137 mi, 1 mi = 5280 ft = 1.6093 km. volume: 1 l = 10⁻³ m³ = 10³ cm³, 1 l = 1.0567 qt

Explanation:

Step1: Convert micrometers to meters

We know that $1\ \mu m = 10^{- 6}\ m$, so for $75.0\ \mu m$, the length in meters is $75.0\times10^{-6}\ m$.

Step2: Convert meters to inches

Since $1\ m=39.37\ in$, then the length in inches is $75.0\times10^{-6}\times39.37\ in$.
$75.0\times10^{-6}\times39.37=\frac{75.0\times39.37}{10^{6}}=\frac{2952.75}{10^{6}} = 0.00295275\ in\approx0.00295\ in$

Answer:

$0.00295$ in