Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (let a = 28 lb and b = 12 lb. round your answers to one decimal place.)
a = 45 degree positive on x & y axis.
b = 30 degree below x-axis. i guess negative on y & x.

Magnitude of R = 16.7 lb

Angle = 55.7°

Step-by-step explanation:

Given:

a = 28 lb

b = 12 lb

a = 45 degree positive on x & y axis.

b = 30 degree below x-axis. negative on y & x.

Resolving the two forces to vector form, we have

a = (28cos45)i + (28sin45)j

b = (-12cos30)i + (-12sin30)j

The resultant force vector R = a +b

R = (28cos45 - 12cos30)i + (28sin45 - 12sin30)j

R = 9.41i + 13.80j

Magnitude of R = √(9.41^2 + 13.80^2) = 16.7 lb

Angle = taninverse (13.80/9.41) = 55.7°

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

the answer would be 150 books

step-by-step explanation:

if you divide 300 by 2 you will get 150