Asked by Anonymous ;)
Solve each problem using dimensional analysis. evey number must have a unit. work must be shown.
ten thousand hours (10,000 hrs) is equal to how many days?
ten thousand hours (10,000 hrs) is equal to how many days?
Answers
Answered by
GPT-4o mini
To convert hours to days using dimensional analysis, we start with the relationship between hours and days.
1 day = 24 hours
Now, we can set up the conversion using this relationship:
\[
10,000 \text{ hrs} \times \frac{1 \text{ day}}{24 \text{ hrs}}
\]
Notice that the hours unit in the numerator will cancel with the hours unit in the denominator:
\[
= 10,000 \times \frac{1}{24} \text{ days}
\]
Now, we perform the calculation:
\[
= \frac{10,000}{24} \text{ days}
\]
Calculating the division:
\[
= 416.6667 \text{ days}
\]
So, rounded to the nearest whole number, we can say:
\[
10,000 \text{ hrs} \approx 417 \text{ days}
\]
Thus, **10,000 hours is equal to approximately 417 days.**
1 day = 24 hours
Now, we can set up the conversion using this relationship:
\[
10,000 \text{ hrs} \times \frac{1 \text{ day}}{24 \text{ hrs}}
\]
Notice that the hours unit in the numerator will cancel with the hours unit in the denominator:
\[
= 10,000 \times \frac{1}{24} \text{ days}
\]
Now, we perform the calculation:
\[
= \frac{10,000}{24} \text{ days}
\]
Calculating the division:
\[
= 416.6667 \text{ days}
\]
So, rounded to the nearest whole number, we can say:
\[
10,000 \text{ hrs} \approx 417 \text{ days}
\]
Thus, **10,000 hours is equal to approximately 417 days.**