On a safari, a team of naturalists sets out toward a research station located 8.9 km away in a direction 42° north of east. after traveling in a straight line for 2.1 km, they stop and discover that they have been traveling 21° north of east, because their guide misread his compass. what is the direction (relative to due east) of the displacement vector now required to bring the team to the research station?

27.19°

Step-by-step explanation:

According to the picture attached, we can find the distance between the two vectors using cosine law

Then we can get C angle by applying one more time cosine law between a and b

We can see that the C angle is complement of the angle we are looking for, so we take away 180 degrees to get the answer

27.19 degrees is our answer!

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24