WILL GIVE BRAINLEST ANSWER IF DONE IN 24 HRS Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 40° and 170°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

magnitude = 114.96 lbs, direction =  88.21°

Step-by-step explanation:

Vector A: 150 lbs at  40°

Vector B: 100 lbs at 170°

Slide Vector B onto Vector A so you have a head to tail connection.

Calculate the angle between the vectors (50°).

Use Law of Cosines to find the magnitude of the resultant vector.

Use Law of Sines to find the direction of the resultant vector.

Law of Cosines:  c² = a² + b² - 2ab cos θ

Given: a = 150, b = 100, C = 50°

c² = (100)² + (150)² - 2(100)(150) cos 50°

c = 114.96

Law of Sines:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

d. 145*2 is 290 than the total angle is 360 then minus 290 then divide by two