Final answer:
The conversion process involves dividing the measurement in centimeters by the conversion factor from centimeters to inches (2.54), and then dividing the result by the number of inches in a yard (36). After doing so, 455 cm converts to approximately 5.0 yards. For the speed conversion, dividing 55 miles per hour by the number of minutes in an hour (60) gives approximately 0.92 miles per minute.
Step-by-step explanation:
To answer the question regarding converting 455 cm into yards, we first need to know the relationship between centimeters, inches, and yards. As given, 1 inch is equivalent to 2.54 cm, and there are 36 inches in 1 yard. To convert from cm to inches, we divide the number of centimeters by 2.54. Then we convert inches to yards by dividing the number of inches by 36.
Here is the step-by-step solution for the first part:
- Convert centimeters to inches: 455 cm ÷ 2.54 cm/inch = 179.13 inches
- Convert inches to yards: 179.13 inches ÷ 36 inches/yard = 4.975 yards
Therefore, 455 cm is approximately equal to 4.975 yards, which can be rounded to 5.0 yards, answer option (a).
For the second part of the question, converting 55 miles per hour to miles per minute:
- Since there are 60 minutes in one hour, we divide the number of miles by 60.
- 55 miles/hour ÷ 60 minutes/hour = 0.9167 miles/minute
After rounding, we get that 55 miles per hour is approximately 0.92 miles per minute, answer option (a).