Draw vector diagrams based on the given scenarios, and solve the problems involving vectors. a) Karina travels 5 miles at a bearing of 30° east of north to get to the supermarket. She then travels 10
miles 15° south of east to go to Anissa's house. How far away and in what direction is Karina's house
from Anissa's house? Draw a diagram and show your work to justify your answer. Round the distance
to the nearest hundredth and the direction to the nearest degree.

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

Given sin∅ = 1/3 and 0 < ∅ < π/2 ; find tan2∅ a. (4√2)/9 b. 9/7 c. (4√2)/7 d.7/9

Can someone me find the original price? the discount is 5% and the sale price is $68.40