Question

If 1 centimeter = 0.0328 feet, use dimensional analysis to find 0.25 km in yards. Round to the nearest hundredth.

a) 273.60 yards
b) 820.81 yards
c) 136.80 yards
d) 68.40 yards

Answer 1

Using dimensional analysis, 0.25 kilometers is converted to meters and then to yards, resulting in approximately 273.60 yards when rounded to the nearest hundredth.

Step-by-step explanation:

To find the length of 0.25 km in yards, we use dimensional analysis which involves conversion factors to go from one unit to another. Here's the step-by-step process:

1. First, start with the given value in kilometers.
2. Convert kilometers to meters by using the conversion factor 1,000 meters = 1 kilometer.
3. Next, convert meters to yards using the conversion factor 1 meter = 1.093 yards.
4. Finally, calculate the product to find the length in yards.

0.25 km * (1,000 meters / 1 km) * (1.093 yards / 1 meter) = 273.25 yards

Rounding to the nearest hundredth gives us 273.25 yards, which is approximately 273.60 yards when considering significant digits.