According to Goffman if the person's actions are visible to audience then it is said that the behavior is front stage otherwise its back stage behavior. So in this case, the football coach reflects front stage behavior as his actions are visible to audience. When there is nobody around then the people reveal their actual behavior. In this scenario the coach is active person and gets engaged with its team to make amendments and seems to fulfill his duties. The audience is always there so he is reflecting front stage behavior.
The fact that your Communication professor tells you quite a bit about himself simply by his choice of clothes and classroom demeanor is evidence of the fact that it is impossible not to communicate. Meaning our choice of cloth and demeanor communicates a lot about ourselves even if we choose to remain silent.
In this question, I guess the empires, theaters as well as the aqueducts, stadiums and roads were all built by d. slaves. I am not sure but hope this is the right answer and would be of big help then.