Tiana is skiing along a circular ski trail that has a radius of 2.8 km. She starts at the 3-o'clock position and travels in the CCW direction. Tiana stops skiing when she is 1.951 km to the right and 2.009 km above the center of the ski trail. Imagine an angle with its vertex at the center of the circular ski trail that subtends Tiana's path. a. How many radians has the angle swept out since Tiana started skiing? b. How many km has Tiana skied since she started skiing?

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"