Let's break down the problem step-by-step:
1. Determine the number of hours in one day:
- There are 24 hours in one day.
2. Calculate the number of hours in 6 days:
- We multiply the number of hours in one day by the number of days.
- [tex]\( 24 \text{ hours/day} \times 6 \text{ days} = 144 \text{ hours} \)[/tex]
3. Calculate the total degrees the hour hand rotates in 144 hours:
- The hour hand rotates 30 degrees every hour.
- We multiply the degrees per hour by the total number of hours.
- [tex]\( 30 \text{ degrees/hour} \times 144 \text{ hours} = 4320 \text{ degrees} \)[/tex]
4. Convert the total degrees into complete rotations:
- One complete rotation is 360 degrees.
- We divide the total degrees by the number of degrees per rotation.
- [tex]\( \frac{4320 \text{ degrees}}{360 \text{ degrees/rotation}} = 12 \text{ rotations} \)[/tex]
Thus, the hour hand makes 12 complete rotations in 6 days.
