Answer: 24.2° SouthWest
<u>Step-by-step explanation:</u>
First step: DRAW A PICTURE of the vectors from head to tail <em>(see image)</em>
I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.
<u>Perpendicular (x):</u>
cos 35° = adjacent/hypotenuse
cos 35° = x/160
→ x = 160 cos 35°
<u>Angle (θ):</u>
sin θ = opposite/hypotenuse
sin θ = x/320
sin θ = 160 cos 35°/320
θ = arcsin (160 cos 35°/320)
θ = 24.2°
Direction is down (south) and left (west)
The total will be 08.99 because that’s how you divide and he is winning
Answer:
The population growth is 6.26 per square mile per year
Step-by-step explanation:
We are given
he US Census found at the population per square mile in the state rose from 128.7 to 191.3 during the last 10 years
So,
Initial population =128.7
Final Population =191.3
Total time =10 years
now, we can find population grow per year

now, we can plug values


So,
The population growth is 6.26 per square mile per year