1. Point \(B\) is the image of point \(A\) under a dilation with center \(O\) and scale factor \(7\). If \(AB = 44\), then what is \(OA\)?
2. A regular pentagon is cut out of a flat piece of cardboard. The pentagon is then placed back into the pentagonal hole. How many ways can the pentagon be placed back into the hole, if the pentagon can be rotated, but not reflected?