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3 years ago

Use two unit multipliers to convert 62 square centimeters to square inches

Mathematics

1 answer:

gtnhenbr [62]3 years ago

8 0

Answer:

Step-by-step explanation:

You only need one, but to use two let's go from cm to mm an then mm to inches. there are 100 mm^2 in a cm^2 so that's 100 mm^2/ 1 cm^2 and then there's 645.16 mm^2 in one square inch so that one will be 1 in^2/ 645.16 mm^2 so writing it out we get:

62 cm^2 * 100 mm^2/ 1 cm^2 * 1 in^2/ 645.16 mm^2

units all cancel out to get in^2 an then you just multiply 62*100/645.16 = 9.61 so that leaves us with 9.61 in^2.

Let me know if there's something you don't understand.

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Student 4 has the largest percent error.

Step-by-step explanation:

The percent error of a measurement is given by

$p=\frac{|x-x_{true}|}{x_{true}}\cdot 100$

where

x is the value of the measurement

$x_{true}$ is the actual value

For student 1:

$x=49\\x_{true}=50$

Percent error:

$p=\frac{|49-50|}{50}\cdot 100=0.02\cdot 100=2\%$

For student 2:

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Percent error:

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For student 3:

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Percent error:

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Percent error:

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