Let's call the sales tax rate as t (in decimal form).
The cost of a $10 sweater with the sales tax included is $10 + $10 * t = $10.90.
We can set up an equation to solve for t:
$10 * t = $0.90
Dividing both sides by $10:
t = 0.09
So the sales tax rate is 0.09, which is equivalent to 9%.