If ∠P and ∠R are given, as well as the value of p, then explain whether the Law of Sines or the Law of Cosines should be used to solve for r. Law of Cosines, two sides and the included angle are known

Law of Cosines, all sides are known

Law of Sines, two angles and an opposite side are known

Law of Sines, two sides and an opposite angle are known

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?

The price of an item has been reduced by 30%. the original price was $30. what is the price of the item now ?

Expresa commuter train leaves downtown sation and travels at a average speed of 55 miles per hour towards the north side sation, which is 50miles away. thirty minutes later, express commuter train #7 leaves north side and travels at a average speed of 35miles per hour towards downtown sation. at the moment the two trains pass each other, how far(in miles) is train #12 from the downtown sation and how long(in minutes) has the #12 train been traveling