Question

Solve each problem using dimensional analysis. evey number must have a unit. work must be shown.
How many minutes are in 180 days

Answer 1

To convert days to minutes using dimensional analysis, we start by identifying the conversion factors we will need:

1. There are \( 24 \) hours in \( 1 \) day.
2. There are \( 60 \) minutes in \( 1 \) hour.

Now we can set up our conversion from days to minutes:

\[
\text{minutes} = 180 \, \text{days} \times \frac{24 \, \text{hours}}{1 \, \text{day}} \times \frac{60 \, \text{minutes}}{1 \, \text{hour}}
\]

Now we will perform the calculation step-by-step:

1. **Convert days to hours:**
\[
180 \, \text{days} \times \frac{24 \, \text{hours}}{1 \, \text{day}} = 180 \times 24 \, \text{hours} = 4320 \, \text{hours}
\]

2. **Convert hours to minutes:**
\[
4320 \, \text{hours} \times \frac{60 \, \text{minutes}}{1 \, \text{hour}} = 4320 \times 60 \, \text{minutes} = 259200 \, \text{minutes}
\]

Putting it all together, we find that:

\[
180 \, \text{days} = 259200 \, \text{minutes}
\]

Thus, there are **259,200 minutes in 180 days**.