Final answer:
Archaeologists can determine that people in Faiyum were in touch with other cultures through evidence such as non-native agricultural practices, similar building styles, and the presence of Faiyum-made tools in other locations.
Step-by-step explanation:
Archaeologists can determine that people in Faiyum were in touch with other cultures through various pieces of evidence. One piece of evidence is that the agricultural practices in Faiyum were not native to the area. This suggests that the people in Faiyum adopted these practices from other cultures.
Additionally, the building styles in Faiyum closely followed the plans seen in other cultural hearths, indicating a connection to those cultures. Finally, tools made at Faiyum have been found in many other places, suggesting that there was trade and interaction between Faiyum and other cultures.