Answer:
4.4N, 263.4°
Step-by-step explanation:
The sum of all forces must add to zero:
The forces in the x-plane:
∑F = 3N + (cos 120°)*5N + x = 0
x = -(3N + (cos 120°)*5N)
x = -0.5N
The forces in the y-plane:
∑F = (sin 120°)*5N + y = 0
y = -(sin 120°)*5N = -√(3/4)*5N = -4.3N
The magnitude of the unknown force U is:
U = √(x² + y²) = √19 = 4.4N
The direction is given by:
tanФ = y/x
Ф = 263.4°
Answer:
The answer to your question is 10 dm
Step-by-step explanation:
Data
length of a rectangle = x + 4
height of a rectangle = x - 6
Area of the rectangle = 56 dm²
length of the square = x
Process
1.- Find x with the information given for the rectangle
Area = length x height
Substitution
56 = (x + 4)(x - 6)
Expand
56 = x² - 2x - 24
Equal to zero
x² - 2x - 24 - 56 = 0
Simplify
x² - 2x - 80 = 0
Factor
(x - 10)(x + 8) = 0
Equal to zero
x₁ -10 = 0 x₂ + 8 = 0
x₁ = 10 x₂ = -8
2.- Conclusion
The length of the square is 10 dm because there are no negative lengths.
If semi-monthly means every half a month, then my take home pay is 22864.58333
Answer:
-13/5
Step-by-step explanation:
-4/5 x 7= -28/5
3=15/5
-28/5 + 15/5= -13/5