We compute the leading order (in coupling) rate of emission of low ene
rgy quanta from a slightly non-extremal system of 1-D- and 5-D-branes.
We also compute the classical cross-section, and hence the Hawking em
ission rate, for low energy scalar quanta for the black hole geometry
that corresponds to these branes (at sufficiently strong coupling). Th
ese rates are found to agree with each other.