Given, A= Cos(theta) +Sin(theta) and B= Cos(theta) - Sin(theta)
If, A= root2{A-sin(theta)}
Prove that,
B= root2{A-cos(theta)}

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

State if the two triangles are congruent. if they are, state how you know?

Alex's monthly take home pay is $2,500. what is the maximum bad debt payment he can maintain without being in credit overload?