All outcomes of three children (using G for girl and B for boy)
GGG, GGB,GBG,GBB,BGG,BGB,BBG,BBB
1) exactly two is 3 out of 8 total outcomes, or 3/8
2) all sons is one outcome, or 1/8
Answer: <em>∠1 = 37.5°; ∠2 = 37.5°; ∠3 = 133°.</em>
Step-by-step explanation:
<em>∠1 = ∠2 = (180° - 105°) ÷ 2 = 37.5°</em>
<em>∠3 = 180° - 23° - 24° = 133°</em>
Answer:
If Jeff is types 5 pages at 600 words per page, then he types 3,000 words (5 x 600).
So, if Jeff started typing at 8:15 am, he'd finish at 9:30 am.
Step-by-step explanation:
It is helpful to estimate quotients when the number is very big.
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
