April claims that 1 + cos2(theta) / sin2(theta)= 1 / sin2(theta) is an identity for all real numbers thetatheta that follows from the pythagorean identity
b. show that the equation 1 + cos2(theta) / sin2(theta)= 1 / sin2(theta)follows from the pythagorean identity.

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.)

Robin spent 25% more time on his research project than he had planned he’s been an extra h ours on the project which of the following expressions could represent the number of hours rob actually spent on the project

Bradley and kelly are out flying kites at a park one afternoon. a model of bradley and kelly's kites are shown below on the coordinate plane as kites brad and kely, respectively: kites adbr and kely are shown on a coordinate plane. the vertices of adbr are a is at 9, 1; d is at 1, 5; b is at 9, 9; and r i which statement is correct about the two kites? (1 point) they are similar because segment br to segment db is 1: 2 and segment ke to segment yk 1: 2. they are not similar because segment br to segment db is 1: 5 and segment ke to segment yk is 1: 2. correct! they are not similar because segment br to segment db is 1: 2 and segment ke to segment yk is 1: 5. they are similar because segment br to segment db is 1: 5 and segment ke to segment yk is 1: 5.