Given that \cos A=\frac{2}{\sqrt{53}}cosA= 53 ​ 2 ​ and \tan B=2tanB=2, and that angles AA and BB are both in Quadrant I, find the exact value of \sin (A+B)sin(A+B), in simplest radical form.

Serena is making an experiment. for that, she needs 20 grams of a 52% solution of salt. she has two large bottles of salt water: one with 40% and the other with 70% of salt in them. how much of each must she use to make the solution she needs? i am in need of

Which linear inequality is represented by the graph?

The diameter of a bacteria colony that doubles every hour is represented by the graph below. what is the diameter of the bacteria after 8 hours? graph of a curve passing through the points zero comma 1, one comma two, two comma four, and three comma eight