Plz plz me jamie needs to determine the distance across a river. she selects a rock, r, on the opposite river bank. she finds a tree, t, on her side of the river such that is perpendicular to the river. next, jamie walks 50 yards down the river from the tree, t, to a spot, c. using a compass that she made from two sticks, she measures . she then walks from c in a direction that makes the same angle as with the river bank on her side of the river. she keeps walking in that direction until she sees the tree and the rock in a straight line from her position. she marks this point b and then paces from b to t to measure the distance from point b to the tree. if bt turns out to be 75 yards, what is rt, the distance across the river?

Players on the school soccer team are selling candles to raise money for an upcoming trip. each player has 24 candles to sell. if a player sells 4 candles a profit of$30 is made. if he sells 12 candles a profit of $70 is made

Simplify (4x^2 - 8xy + 2y^2) - (9x^2 - 4xy - 7y^2) a. -5x^2 + 4xy + 9y^2 b. -5x^2 - 4xy + 9y^2 c. -5x^2 + 12xy + 4y^2 d. -5x^2 - 4xy - 5y^2

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)