For the following product, determine whether the result is rational or irrational and choose the appropriate reason. 5/19 x 4/9

A:The result is rational because the product of a nonzero rational number and an irrational number is sometimes rational.

B:The result is irrational because the product of a nonzero rational number and an irrational number is always irrational.

C:The result is rational because the product of two rational numbers is always rational.

D:The result is irrational because the product of two irrational numbers is sometimes irrational.

Is δ pmr similar to δ smn ? if so, which postulate or theorem proves these two triangles are similar?

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.

Find the measure for the angle indicated in bold