At a hot air ballon festival, erica spots a red ballon due east at an angle of elevation of 36 degrees. she turns due west and sees a blue ballon at an angle of elevation of 51 degrees. if the altitude of the blue ballon is 296 meters, the altitude of the blue ballon is 461 meters, and erica is 1.6 meters tall, find the distance between the balloons.

Abike shop sells you a bicycle for $63 and a helmet for $21. the total cost is 150% of what the shop spent originally. how much did the shop spend originally? how much profit did the bike shop earn by selling the bicycle and helmet to you ?

Complete the solution of the equation. find the value of y when x equals to 1 9x-5y=29

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).