From the top of a tree a bird looks down on a field mouse at an angle of depression of 50 degrees if the field mouse is 40 m from the base of the tree find the vertical distance from the ground to the bird's eye round to the nearest tenth

Acommunity group sells 2,000 tickets for its raffle. the grand prize is a car. neil and 9 of his friends buy 10 tickets each. when the winning ticket number is announced, it is found to belong to neil's group. given this information, what is the probability that the ticket belongs to neil? a.1/5 b.1/10 c.1/200 d.1/4

Find the maximum value of p= 4x + 5y subject to the following constraints :

Olga bought a new skirt that cost $20. sales tax is 5%. how much did olga pay, including sales tax? 7.