The total displacement east is: <span>
<span>15 cos(45) + 15
= 25.607 m
The total displacement north is:
15 sin(45)
= 10.607 m
The magnitude of the total displacement is:
sqrt(25.607^2 + 10.607^2)
<span>= 27.717 m = 27.7 m</span>
Its direction is N x E where:
tan(x) = 25.607 / 10.607
<span>x = 67.5 deg
The return displacement is therefore of the same magnitude
but in the opposite direction.
<span>Displacement 27.7 m, direction S 67.5 deg W</span></span></span></span>
Answer:
hmmm
Step-by-step explanation:
you can go for bts or billie elish
Answer: x ≤ 1
reason:
first, multiply 4x and 4 by -2/3, which leaves you with the equation 2x ≤ -8/3x + 8/3
then, you add 8/3x to both sides, making it 4 2/3x ≤ 8/3
divide both sides by 4 2/3 and you get x ≤ 1
Answer:
<em>In 4 hours.</em>
Step-by-step explanation:
Just equate f(x) = g(x). So:
15x + 90 = 30x + 30
60 = 15x
<em>x = 4 hours.</em>
Answer: 2464.5 ft
Step-by-step explanation:
Given
Slope is ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Horizontal travel is 4929 feet
and Slope is given by
![\Rightarrow \text{Slope}=\dfrac{\text{Vertical travel}}{\text{Horizontal travel}}\\\\\Rightarrow \dfrac{1}{2}=\dfrac{Y}{4929}\\\\\Rightarrow Y=2464.5\ ft](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BSlope%7D%3D%5Cdfrac%7B%5Ctext%7BVertical%20travel%7D%7D%7B%5Ctext%7BHorizontal%20travel%7D%7D%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B1%7D%7B2%7D%3D%5Cdfrac%7BY%7D%7B4929%7D%5C%5C%5C%5C%5CRightarrow%20Y%3D2464.5%5C%20ft)
Therefore, vertical travel is 2464.5 ft