Convert 120 kilometers per hour into miles per hour using dimensional analysis

Mathematics

1 answer:

musickatia [10]3 years ago

4 0

Answer:

74.56 miles / h

Step-by-step explanation:

1 mile = 1.609 km

Using the dimensional analysis you multiply the number you want to convert by 1 (using a fraction with the needed units)

Since 1 mile = 1.609 km then:

$1= \frac{1 mile}{1.609 km}$

Now to convert 120 kilometers per hour to miles per hour :

$120 \frac{km}{h} * \frac{1 mile}{1.609 km} = \frac{120}{1.609}\frac{miles}{h} = 74.56 \frac{miles}{h}$

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