Question 1 of 17 Rachel rides her bicycle due east at 12 kilometers per hour. Amos rides his
bicycle due north at 16 kilometers per hour. If they left from the same point at
the same time, how far apart will they be after 3 hours?

they will be 60 kilometers apart.

Step-by-step explanation:

well you use pythagorean theorem

12 × 3

=36

16 × 3

=48

pythagorean theorem states that:

a²+b²=c²

so

48² + 36² =3600

then, because c is squared, you just square root it

√3600 = 60

I drew a diagram to help explain, it's a bit crude but it works

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.