Abuilding lot in a city is shaped as a 30 degrees, -60 degrees, -90 degrees triangle. the side opposite the 30 degrees angle measures 41 feet.

a. find the length of the side of the lot opposite the 60 degrees angle.

b. find the length of the hypotenuse of the triangular lot.

c. find the sine, cosine, and tangent of the 30 degrees angle in the lot. write your answers as decimals rounded to four decimal places.

If g^-1(x) is the inverse of g (x) which statement must be true

Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.

If a and −a are numbers on the number line, which expression must give the distance between them? a) 0 b) a c) |2a| d) |a|