villaalex427
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if 1 centimeter=0.3937 inches, use dimensional analysis to find 2.4 meters in yards. Round to the nearest hundredth. (hint: 1yd=36in)​

Sagot :

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Step-by-step explanation:

We know from the problem that:

1 centimeter = 0.3937 inches

1 yard = 36 inches

I suggest that we convert the starting length of 2.4 meters to centimeters, and from there we could convert to inches, and then convert to yards.

[tex]\frac{2.4\ meters}{}|\frac{100\ centimeters}{1.0\ meters} |\frac{0.3937\ inches}{1.0\ centimeters} |\frac{1.0\ yards}{36\ inches}[/tex]

[tex]=(2.4)(\frac{100}{1.0})(\frac{0.3937}{1.0})(\frac{1.0}{36})[/tex]

[tex]=(\frac{(2.4)(100)(0.3937)}{36})yards[/tex]

[tex]=2.62\ yards[/tex]

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