The first step is to calculate the rate of cooling
The rate of cooling can be calculated using the formula:
Rate of cooling = (Initial temperature - Final temperature) / Time taken

Given that the initial temperature is 60°C, the final temperature is 40°C, and the time taken is 7 minutes, we can substitute these values into the formula:

Rate of cooling = (60°C - 40°C) / 7 minutes
Rate of cooling = 20°C / 7 minutes
Rate of cooling ≈ 2.86°C/minute

Calculating the temperature after the next 7 minutes
To calculate the temperature after the next 7 minutes, we need to consider the rate of cooling and the surrounding temperature.

The rate of cooling is 2.86°C/minute, and the surrounding temperature is 10°C. This means that for every minute, the body will cool down by 2.86°C.

Calculating the cooling after the next 7 minutes
To calculate the cooling after the next 7 minutes, we multiply the rate of cooling by the time taken, which is 7 minutes:

Cooling after the next 7 minutes = Rate of cooling x Time taken
Cooling after the next 7 minutes = 2.86°C/minute x 7 minutes
Cooling after the next 7 minutes ≈ 20°C

Calculating the temperature after the next 7 minutes
To calculate the temperature after the next 7 minutes, we subtract the cooling after the next 7 minutes from the current temperature:

Temperature after the next 7 minutes = Current temperature - Cooling after the next 7 minutes
Temperature after the next 7 minutes = 40°C - 20°C
Temperature after the next 7 minutes = 20°C

Thus, the temperature after the next 7 minutes will be 20°C.