Answer:
x=4
Step-by-step explanation:
3/4x+ 4 = 7
Subtract 4 from each side
3/4x+ 4-4 = 7-4
3/4x = 3
Multiply each side by 4/3
4/3 * 3/4 x = 3 * 4/3
x = 4
Split up each force into horizontal and vertical components.
• 300 N at N30°E :
(300 N) (cos(30°) i + sin(30°) j)
• 400 N at N60°E :
(400 N) (cos(60°) i + sin(60°) j)
• 500 N at N80°E :
(500 N) (cos(80°) i + sin(80°) j)
The resultant force is the sum of these forces,
∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i
… … … + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N
∑ F ≈ (546.632 i + 988.814 j) N
so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.
3.141592653589793238462643383279 502884197169399375105820974944 5923078164062862089986280348253421170679
Yes 8.54 as rational number because in can be written as 854/100
