let x = the distance from Delany's house to the mall
so half the distance would be 1/2x
then it is 5 miles less than that so you would subtract 5 to give you 1/2x-5
and that is more than 6 miles so you get 1/2x-5>6
The formula to find the area of a sector = Ф*r²/2
Ф to be in radian, here Ф=45° =π/4
sector = 1/2(π/4)x 100
sector = 39.27 ≈39.3° (B)
A) The longest horizontal distance is reached at 45 degrees angle. This is true for any projectile launch.
B) First, calculate fligth time (using the vertical motion) and then calculate the horizontal movement.
Flight time = 2* ascendent time
ascendent time => final vertical velocity, Vy, = 0
sin(45) = Voy / Vo => Voy = Vosin(45) = 25.5 m/s * (√2) / 2 = 18.03 m/s
Vy = Voy - gt = 0 => Voy = gt = t = Voy / g
Use g = 10 m/s^ (it is an aproximation, because the actual value is about 9.81 m/s^2 depending on the latitud)
t = 18.03 m/s / 10 m/s^2 = 1.83 s
This is the ascendant time going upward.
The flight time is 2*1.83 = 3.66 s
Horizontal motion
Horizontal velocity = Vx = constant = Vox = Vo*cos(45) = 18.03 m/s
Vx = x / t => x = Vx*t
Horizontal distance = xmax = 18.03m/s*3.66 s = 65.99 m
c) The time the ballon will be in the air was calculated in the part B, it is 18.03 s
Answer:
subtract 22 on both sides
Step-by-step explanation:
hope this helps :)
For both lines the slope is 5/2 or 2.5.
Since the y-intercept is zero for both, both the equations are:
y=2.5x
Or
y=5/2x
