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19 February, 07:09

If 1 meter = 1.094 yards, use dimensional analysis to find 2 kilometers in miles. (Hint: 1 mi = 1760 yd)

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  1. 19 February, 07:22
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    2 km = 1.24 miles.

    Step-by-step explanation:

    The question demands the conversion of units. It is given that:

    1 meter = 1.094 yards.

    Since 1000 meters = 1 km, multiply both sides with 1000:

    1000 meters = 1094 yards.

    Convert 1000 meters into 1 km:

    1 km = 1094 yards.

    Divide both sides by 1094 so that 1 yard is in terms of km:

    1/1094 km = 1 yards.

    It is given that:

    1 mile = 1760 yards.

    Divide both sides by 1760 so that 1 yard is in terms of miles:

    1/1760 mi = 1 yards.

    Since 1 yard = 1 yard, therefore:

    1/1094 km = 1/1760 miles.

    Cross multiplying:

    1760 km = 1094 miles.

    1 km = 1094/1760 miles.

    1 km = 0.62159090909 miles.

    To find 2 km in terms of miles, simply multiply 2 on both sides. Therefore:

    2 km = 1094*2/1760 miles

    2 km = 1.24318181818 miles.

    Therefore, 2 km = 1.24 miles (correct to 2 decimal places) !
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