First write both vectors in terms of their horizontal and vertical components.
G = (40.3 m)(cos(-35.0º) x + sin(-35.0º) y)
G = (33.0 x - 23.1 y) m
(where x and y are the unit vectors that point in the positive horizontal and vertical directions, respectively)
H = (63.3 m)(cos 270º x + sin 270º y)
H = (-63.3 y) m
Then the vector sum is
G + H = (33.0 x - 86.4 y) m
which has a magnitude of
|| G + H || = √[33.0^2 + (-86.4)^2] = 92.5 m
Answer:
B) 8 ≤ p
Step-by-step explanation:
1000 - 380 = 620
620 / 80 = 7.75
Round it up to 8
Answer:
x = 5
Step-by-step explanation:
To solve this, we just have to the multiplication and do the simplification (adding up the similar terms) afterwards:
3(x+1)=7(x-2)-3 becomes...
3x + 3 = 7x - 14 - 3
3x + 3 = 7x -17
Then we move all x's on one side and all plain numbers on the other side, we'll move the x's to the right since there's a bigger value there, and will move the plain numbers on the left side, by subtracting 3x and by adding 17 on both sides
3x + 3 - 3x + 17 = 7x -17 + 17 - 3x
20 = 4x
If we isolate x alone we have:
20/4 = x or x = 5
