# Carbon fiber is made up of extraordinarily thin filaments - about one hundredth the thickness of a human hair. 1) True 2) False

###### Question:

thickness of a human hair.

1) True

2) False

## Answers

The correct option is;

2) False

Explanation:

Carbon fiber are also known as graphite fiber is a very thin stiff and light fiber with diameter of about 5 - 10 micrometres. Carbon fibers have high tensile strength, high chemical resistance, and high temperature tolerance with a low thermal resistance

The diameter of the human hair is 17 to 181 μm

Dividing the minimum diameter of carbon fiber by the maximum diameter of the human hair, we have;

5/181 = 0.0276 ≈ 0.03 which is more than a one hundredth or 0.01 hence the correct option is False.

[tex]\cfrac{1.3*10^{-3}}{6.5*10^{-4}}= 0.2*10^1=2[/tex]

A.The horse hair is 2 times as thick as the human hair.

[tex]7.8 \times 10^{-5} \text{ meters}[/tex]

Step-by-step explanation:

The length of a vicuna hair = 0.000006 = [tex]0.6 \times 10^{-5}[/tex]

And, the length of the a human hair = [tex]8.4\times 10^{-5}[/tex]

Thus, the difference between the human hair and vicuna hair

[tex]= 8.4\times 10^{-5}-0.6\times 10^{-5}[/tex]

[tex]=10^{-5}(8.4-0.6)[/tex]

[tex]=10^{-5}(7.8)[/tex]

[tex]=7.8\times 10^{-5}[/tex]

⇒ Option D is correct.

your answer you are seeking is D

A sheet of paper, 0.0013 m thick is as thick as 19 strands of hair

Step-by-step explanation:

The average thickness of human hair is about 0.07 mm

Therefore, where the paper is about 0.0013 m thick we have

0.0013 m = 1.3 mm

Therefore, 1 sheet of paper is as thick as [tex]\frac{1.3}{0.07}[/tex] or 18.57 strands of hair or a sheet of paper is as thick as approximately 19 strands of average human hair combined.

A.The horse hair is 2 times as thick as the human hair.

Step-by-step explanation:

We have been given that Mateo is studying a human hair with a diameter of [tex]6.5\times 10^{-4}[/tex] inches and a horse hair with a diameter of [tex]1.3\times 10^{-3}[/tex] inches.

Since proportions states that two fractions are equal, So we will use proportions to solve our given problem.

[tex]\frac{\text{Diameter of horse hair}}{\text{Diameter of human hair}}=\frac{1.3\times 10^{-3}}{6.5\times 10^{-4}}[/tex]

[tex]\text{Diameter of horse hair}=\frac{1.3\times 10^{-3}}{6.5\times 10^{-4}}\times \text{Diameter of human hair}[/tex]

Now we will quotient rule of exponents to simplify our given problem.

[tex]\text{Diameter of horse hair}=\frac{1.3\times 10^{-3--4}}{6.5}\times \text{Diameter of human hair}[/tex]

[tex]\text{Diameter of horse hair}=\frac{1.3\times 10^{-3+4}}{6.5}\times \text{Diameter of human hair}[/tex]

[tex]\text{Diameter of horse hair}=\frac{1.3\times 10^{1}}{6.5}\times \text{Diameter of human hair}[/tex]

[tex]\text{Diameter of horse hair}=\frac{13}{6.5}\times \text{Diameter of human hair}[/tex]

[tex]\text{Diameter of horse hair}=2\times \text{Diameter of human hair}[/tex]

We can see that the diameter of horse hair is 2 times the diameter of human hair. Therefore, the horse hair is 2 times as thick as the human hair and option A is the correct choice.

D.

7.8 × 10-5 meters

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Explanation:

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See below

Step-by-step explanation:

1. Standard notation

4.2 × 10⁻⁴ m

A negative exponent indicates

A number between 0 and 1. That the decimal point is shifted that number of places to the left.4.2 × 10⁻⁴ tells you that the decimal number is 4.2, with the decimal point moved four places to the left.

The number becomes 0.000 42 .

2. Metres to millimetres

[tex]4.2 \times 10^{-4}\text{ m} \times \dfrac{10^{3}\text{ mm}}{\text{1 m}} = 4.2\times 10^{-1}\text{ mm = 0.42 mm}}[/tex]

3. Measurements agree?

Yes, because both measurements are the same as 0.42 m.

4. More appropriate measurement

Most measurements should be expressed as a number between 0.1 and 1000, because most people aren’t particularly good at visualizing larger or smaller numbers.

Justin's measurement of 0.42 mm is more appropriate than Amanda's measurement of 4.2 × 10⁻⁴ m.

The horse hair is 2 times as thick as the human hair.

Step-by-step explanation: