Question

a human hair has a diameter of about 4×10 to the power of -3 inches of fingernail is about 0.0 11 inches thicker how thick is a fingernail write your answer as a decimal to three places

Answer 1

To find the thickness of a fingernail, we start with the thickness of the hair and the given information.

The diameter of a human hair is approximately:

\[
4 \times 10^{-3} \text{ inches}
\]

The thickness of a fingernail is about 0.011 inches thicker than that of a human hair. Thus, we can calculate the thickness of the fingernail by adding the thickness of the hair to 0.011 inches:

\[
\text{Thickness of fingernail} = \text{Thickness of hair} + 0.011
\]

Substituting the values:

\[
\text{Thickness of fingernail} = 4 \times 10^{-3} + 0.011
\]

First, we need to convert \(4 \times 10^{-3}\) to decimal form:

\[
4 \times 10^{-3} = 0.004
\]

Now we can add this to 0.011:

\[
0.004 + 0.011 = 0.015
\]

Therefore, the thickness of a fingernail is approximately:

\[
\text{Thickness of fingernail} = 0.015 \text{ inches}
\]

When rounded to three decimal places, the thickness of a fingernail is:

\[
\boxed{0.015}
\]