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Mathematics
22.11.2021 19:12
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Mateo is studying a human hair with a diameter of 6.5 x 10^-4 inches and a horse

Mateo is studying a human hair with a diameter of 6.5 x 10^-4 inches and a horse hair with a diameter of 1.3 x 10^-3 inches. which statement is true?

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

b.the horse hair is 5 times as thick as the human hair

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

d.the human hair is 5 times as thick as the horse hair
Mateo is studying a human hair with a diameter of 6.5 x 10^-4 inches and a horse hair with a diamete
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kenny909
kenny909
4,4(53 marks)

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 6.5\times 10^{-4} inches and a horse hair with a diameter of 1.3\times 10^{-3} inches.

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

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

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

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

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

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

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

\text{Diameter of horse hair}=\frac{13}{6.5}\times \text{Diameter of human hair}

\text{Diameter of horse hair}=2\times \text{Diameter of human hair}

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.

nickwwe13
nickwwe13
5,0(39 marks)

I am not that sure I think it's f

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