Find the lateral (side) surface area of the cone generated by revolving the line segment y equals one fourth x , 0 less than or equals x less than or equals 7, about the x-axis. The lateral surface area of the cone generated by revolving the line segment y equals one fourth x , 0 less than or equals x less than or equals 7, about the x-axis is nothing. (Type an exact answer, using pi as needed.)

Figure abcd is a parallelogram. if point c lies on the line x = 2, what is the y-value of point c

Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult ticket. the total cost of the six tickets is ? 40.50 work out the cost of an adult ticket. in your working let c be the cost of the child ticket and a be the cost of the adult ticket.

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers. a) one of the 400 passengers is selected uniformly at random. let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem