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 given equation is
m = ak/n
We want to solve for k
The first step is to multiply both sides of the equation by n. We have
m * n = ak/n * n
mn = ak
The next step is to divide both sides of the equation by a. We have
mn/a = ak/a
mn/a = k
k = mn/a
The correct option is the second one
Answer:
The area of the circle is 28.26.
Step-by-step explanation:
πr =9.42
Using that, we can find the radius, which will help us find the area of the circle.
9.42/π = 3 (I used 3.14 for π)
The formula for area of a circle is:
πr^2
Plug our values in.
π(3^2)
9π
28.26
The area of the circle is 28.26.
To sum, Min would need to first figure out the radius of the circle, and then use the radius to find the area of the circle. She can figure out the radius by dividing 9.42 by π, and find the area with the formula πr^2.
