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:
5.7 meters
Step-by-step explanation:
Image a rectangle being cut diagonally in half, that would lead to two triangles. We can use the pythagorean theorem to find the missing side.
7 is the hypotenuse and 4 is the side length
4^2+x^2=7^2
16+x^2=49
sqrx=sqr(49-16)
x=sqr33
x=5.74
Rounded to the nearest tenth is 5.7
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=2
The new width is 16.6666666667 inches, which can be rounded to 16.7.
Width: 5 ?
Height: 6 20
We know that based on the information provided, the new height is 20 inches.
So, in order to solve, you can cross multiply (5 x 20), which would be 100. Then
divide by 6, to get 16.6666666667 or 16.7.
Answer:
Step-by-step explanation:
A and B form a right angle
meaning that A+B=90
if A=58
B=90-58 = 32
answers
B is acute angle, true
second statement is False
Last statement is true
