Michael Rankine's goal means the Daggers are a point above the drop zone and one of an astonishing seven teams who head into the final weekend in npower League Two with their future uncertain.
"We had chances in the first-half and towards the end but when you have them you have to take them and capitalise," said Burnett.
"Today we haven't taken them. We played okay, the boys worked very, very hard but you have to score goals, it's as simple as that. We should have taken our chances.
"We now know what's expected and we have to win next week at home to York, who are still in it (the relegation fight). It's going to be all guns blazing really. The disappointing thing for me is we have to keep going.
"It's a fine line, a very small line between winning and losing. Even if we got a draw it probably wasn't going to be enough, especially with Barnet winning. We know what's expected of us now.
"Our goal difference is better than the teams around us, which is good, but you've still got to win football matches. That's what it's all about. It's slightly in our hands, other teams have tough games, and if we win I think we will be safe."