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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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:

\[ \boxed{0.015} \]