Wonder women, standing at one focus of a whispering gallery, is 10 feet from the nearest wall. Her friend superman is standing at the other focus 80 feet away. What is the length of the whispering gallery? How high is its elliptical ceiling at the center?

Evaluate 8j -k+148j−k+14 when j=0.25j=0.25 and k=1k=1.

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.

Aadc is formed by reflecting aabc across line segment ac, as shown in the figure. if the length of ac is 4 units, the area of aadc is square units.