I have spent a few hours googling this problem; I'm finally at my wits' end so here goes. The WLAN adapter is not working at all in Kali.

Dell Inspiron 15

Code:
# uname -a
3.18.0-kali3-amd64 #1 SMP Debian 3.18.6-1~kali2 (2015-03-02) x86_64 GNU/Linux
Code:
# lspci -vknn | grep Network
06:00.0 Network controller [0280]: Broadcom Corporation BCM43142 802.11b/g/n [14e4:4365] (rev 01)
Sources.list:
Code:
# deb cdrom:[Debian GNU/Linux 7.0 _Kali_ - Official Snapshot amd64 LIVE/INSTALL Binary 20150205-22:46]/ kali contrib main non-free

#deb cdrom:[Debian GNU/Linux 7.0 _Kali_ - Official Snapshot amd64 LIVE/INSTALL Binary 20150205-22:46]/ kali contrib main non-free

deb http://http.kali.org/kali kali main non-free contrib
deb-src http://http.kali.org/kali kali main non-free contrib

## Security updates
deb http://security.kali.org/kali-security kali/updates main contrib non-free

The following packages are installed:
Code:
b43-fwcutter
broadcom-sta-common
broadcom-sta-source
firmware-brcm80211
firmware-linux-nonfree
/etc/network/interfaces:
Code:
# The loopback network interface
auto lo
iface lo inet loopback

# The primary network interface
allow-hotplug eth0
iface eth0 inet dhcp
Thanks in advance for any tips and guidance.