Part A: Suppose Jackson hiked due north on the first trail, and due east on the second trail. Show that the magnitude of the resultant vector for the entire hike is . Part B: Describe the meaning of the magnitude you found in Part A in terms of the hike. Part C: Could Jackson have hiked in a different direction on the second trail without affecting the magnitude of the resultant vector? Explain.

A) √((distance travelled due north)²+(distance travelled due east)²)

B) distance from starting point

C) Yes due west

Step-by-step explanation:

A) According to pythagoras theorem

resultant vector= √((distance travelled due north)²+(distance travelled due east)²)

Also see 1st attachment

B) The resultant vector tells the distance from the starting point

C) The same amount of distance travelled in opposite direction that is westwards will give same magnitude of resutlant vector.

See 2nd attachment

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9