An astronaut is in equilibrium when he is positioned 140 km from planet x and 581 km from planey y, along the straight line joining the planets' centers. what is the ration of the masses x/y? i know the answer is 0.0581, i just do not know how to solve it.

How many bananas are in a fruit bowl that has 200 total apples and bananas if there are 31 bananas for every 93 apples

Astudy was interested in determining if eating milk chocolate lowered someone's cholesterol levels. ten people's cholesterol was measured. then, each of these individuals were told to eat 100g of milk chocolate every day and to eat as they normally did. after two weeks, their cholesterol levels were measured again. is there evidence to support that their cholesterol levels went down? how should we write the alternative hypothesis? (mud = the population mean difference= before - after)a. ha: mud = 0b. ha: mud > 0c. ha: mud < 0d. ha: mud does not equal 0

Given that sin∅ = 1/4, 0 < ∅ < π/2, what is the exact value of cos∅? a. (√4)/4 b. (√15)/4 c. (4π)/2 d. (4√2)/4