An office building stands 112 ft tall. Two geometry best friends are standing outside the building with their inclinators and measure the angles of elevation to the top of the building to be theta - 44°
and B - 58º. Assume the building forms a 90° angle with the ground and the friends on are on
level ground with the building. How far apart are the friends standing? Round your answer to the
nearest ft.
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Which system of linear inequalities is represented by the graph? !

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

Aschool allots ? 1500 to spend on a trip to the theatre. theatre tickets have a regular cost of ? 55 each and are on offer for 1 5 off. a train ticket for the day will cost ? 12 each. if 2 teachers and the maximum number of students attend, how much money will the school have left over?