Answer:
|F net| = 20.22 N
θ ≈ 19.8°
Step-by-step explanation:
F net = 15N i + 8cos(60°)N i + 8sin(60°)N j
= 15N i + 8×½N i + 8×√3/2N j
= 15N i + 4N i + 4√3N j
= 19N i + 4√3N j
|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N
tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°
Answer:
Step-by-step explanation:
<u>Given sides of a rectangle</u>
- Length: l =4 − 7(3x + 4y)
- Width: w = 3x(−2y)
<u>Perimeter of rectangle</u>
<u>Using the given values</u>
- P = 2( 4- 7(3x + 4y) + 3x(-2y)) =
- 2( 4 - 21x - 28y - 6xy) =
- 8 - 42x - 56y - 12xy
Answer: Last Option
Step-by-step explanation:
In this case we have a uniform probability. In the graph the horizontal axis represents the possible values of the variable x and the vertical axis represents the probability P(x).
To calculate the probability that x is between 4.71 and 7.4 we calculate the area under the curve.
The horizontal length between 4.71 and 7.4 is:
.
Then notice that the vertical length in this interval is 0.125.
Then the area of a rectangle is:
Where l is the length and w is the width.
In this case we have to:
So
You just answerd it yourself i think.......