An astronomer knows the distances from herself to stars A and B as well as the distance between them.
The distances are 450, 400, and 90 light years (1.y.) respectively.
If the astronomer's telescope is currently pointed at star A. how many degrees must she rotate her
telescope to see star B?
Do not round during your calculations. Round your final answer to the nearest degree,
B
90
400 l. y.
Astronomer
450 l. y.

100 points? me its important ‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)

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.)