Denelle is decorating a ballroom ceiling with garland. if the rectangular ceiling is 63 feet by 60 feet, how much garland will denelle need to reach from one corner of the ceiling to the opposite corner?

Graph the system: f(x)= 3/x-2; f(x)= 1/2x + 2

Achemist has 200 ml of a 10% sucrose solution. she adds x ml of a 40% sucrose solution. the percent concentration, y, of the final mixture is given by the rational function: the chemist needs the concentration of the final mixture to be 30%. how many milliliters of the 40% solution should she add to the 10% solution to get this concentration?

Given: circle o, cd is diameter, chord ab || cd. arc ab = 74°, find arc ca.