In a triangle with sides of 97, 88, and 53, find the degree angle that is created by the lesser two sides, using the law of cosines. Round your answer to the nearest tenth.

Sin (90)/2= Sin (x)/2. Find x using the law of sines.

y varies directly with x and inversely with z. Find the equation.

Find 6u, -5v, u-v, and u+3 for the given vectors: u=<7,3>; v=<-1,-5>.

90 degrees=pi/x. Find x.

In a triangle where a=5, b=15, and C=75, find side c, using the law of cosines. Round your answer to the nearest tenth.

In a triangle, A=90, a=6, and B=30. Find side b, using the law of sines.

y varies inversely with with x and z, and jointly with w, a, and b. Find the equation.

Find the magnitude and direction of each vector: v=<7,6>; v=<5,5>; and v=<-3,2>. Round your answers to the nearest tenth.

330 degrees= x*pi/y. Find x and y as an ordered pair.

Jep heard an ice cream truck while walking home. His position creates the triangle abc, where a=15ft, b=30ft, A=68, and B=25. Find the distance between Jep and the ice cream truck using the law of cosines. Round your answer to the nearest tenth.

In a triangle A=70 a=4 and C=60. Using the law of sines find c. Round to the nearest hundredth.

y varies directly with x. If x=12, then y=48. Find the equation.

Richie is in a canoe, paddling straight across the river. His still water speed is 5.3mph, and he is moving WITH a 3.5mph Easterly current to get to his destination. At what speed and direction will he be going? Round your answers to the nearest tenth.

240 degrees= (x,y). Find x and y as an ordered pair.

Three horses were running across a meadow. The third horse was 100ft directly behind the first horse, and 83ft behind the second horse at a 48 degree angle. Use the law of cosines to complete the triangle, and round to the nearest tenth throughout.

Horhay hears a dog. The distance between him and the dog is 300ft, and he is 400ft from his house. The angle created by Horhay, is 53.1 degrees. Using the law of sines, find the distance between the dog and the house.

y varies directly with x, and inversely with z. If x=4 and z=16, then y=1/2. Find the equation.

Your mom is in a boat, and wants to go straight across a river. Her still water speed is 7mph, and she is moving AGAINST a 3.8mph Westerly current. What is her speed, and in what direction should she steer? Round your answers to the nearest tenth.

585 degrees=(x,y). Find x and y as an ordered pair.

Jamie was walking her three dogs. Her dogs formed two triangles, abc and cde, where b=1.2, c=5.5, d=2, e=6, and A=95. Complete both triangles using the law of cosines. Round your answer to the nearest tenth throughout. (Hint: You are finding 6 items).

Horhay's sister Horhita witnesses a murder. She is 70ft from the site, 100ft from the police station, and forms an angle of 85 degrees. Using the law of sines, find the distance from the police station to the crime scene. Round to the nearest hundredth.

y varies jointly with x and z, and inversely with a and b. If x=5, z=12, a=5, and b=4, then y=6. Find the equation.

A duck heading over the University of Oregon flies with a speed of 25mph N 30 E, and is pushed by a 32mph wind, N 60 E. Find the true speed and direction of the duck. Round your answers to the nearest tenth at the END of your calculations.

Horhay's cousin Tony Hawk did a 3330 degree flip and landed it. Amazing I know! Find the x and y coordinates of his flip as an ordered pair.