A drought can make a hot day hotter, while a heat wave can make dry conditions even drier.
Links:
[1] http://admin.indiaenvironmentportal.org.in/news/drought-and-heat-waves-are-much-more-likely-mix-researchers-say
[2] http://admin.indiaenvironmentportal.org.in/category/newspaper/los-angeles-times
[3] http://admin.indiaenvironmentportal.org.in/category/thesaurus/natural-disasters
[4] http://admin.indiaenvironmentportal.org.in/category/thesaurus/droughts
[5] http://admin.indiaenvironmentportal.org.in/category/thesaurus/heat-waves
[6] http://admin.indiaenvironmentportal.org.in/category/thesaurus/united-states-america-us