Abbey is flying a model plane. She releases the plane and it flies a distance of 55 meters, then makes a 130° turn and flies a distance of 35 meters before it lands. The map below, shows the path of the plane. The letter X marks the spot where the plane started and Y marks the spot where the plane landed. Use the Law of Cosines to determine the distance, in meters, between where the model plane lands and where it started from.

Enter this distance, rounded to the nearest meter.

The sum of two numbers is 58. the first number is 8 less than half the second number. let  c  represent the first number. let  drepresent the second number. which statements about solving for the two numbers are true? check all that apply. the equation    represents the sum of the two numbers. the equation    represents the sentence “the first number is 8 less than half the second number.”the equation    represents the relationship between the two numbers. the equation    represents the sum of the two numbers. the number  d  is 14.the number  c  is 44.the number  c  is 14.the number  d  is 44.

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Write a function for a rotation 90 degrees counter clockwise about the origin, point 0