A ship sails 80 degrees for 120 nautical miles, then 200 degrees for 200 nautical miles. How far is it then from the starting point?

distance from the starting point = 191 nautical mile

Step-by-step explanation:

80 degree =  N80°E

200 degree = S 20°W

The distance from the starting point will be achieved by using cosine formula.

√(120²+220²-2×120×220cos60)

= 20√91

Distance = 190.79 miles

Please find the attached file for the figure.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation: