A(-3,5) to B(8,1)
That makes a right triangle 8 - -3 = 11 in the x direction, 5 - 1 = 4 in the y direction.
d² = (8 - -3)² + (1 - 5)² = 11² + (-4)² = 121 + 25 = 146
d = √146 = 12.083045973594572
Answer: 12.1
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.
Answer:
week 4 had the greatest weight change
[ Answer ]
[ Explanation ]
= 6
Multiply Both Sides By 19
= 6 · 19
Simplify:
X = 114
Check Your Work:
Simplify:
= 6
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