The angle of depression from an eagle sitting on top of a flagpole to base tree is 63. If the flag pole is 18 feet tall, then what is the distance between the pole and tree?

Find the area of the triangle formed by the origin and the points of intersection of parabolas y=−3x^2+20 and y=x^2−16.

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)

Select the correct answer from each drop down menu a marketing company conducted a survey to assess the audience response to different aspects of a new advertisement. the company randomly chose 100 people to watch several advertisements of different lengths. the respondents were asked to note which ads they disliked. the table shows the survey results duration of ad number of viewers (seconds) who disliked ad 60 relationship between the duration of advertisements and the correlation coeficient for this data set is close to based on this information, we can conclude that there is a the audience dislong them reset next