Answer:1/4 hour remaining
Step-by-step explanation:
Presenter 1 - 1/3 hour
Presenter 2 - 1/6 hour
Presenter 3 - 1/4 hour
Convert to least common denominator of 12
4/12 + 2/12 + 3/12 = 9/12
12/12 - 9/12 = 3/12
Reduce 3/12 to get 1/4 hour remaining
Bagels 6x12=72
apples 8x9=72
cookies 12x6=72
juice 9x8=72
72/4 kids is 18 lunches
Answer:
LM = 18
Step-by-step explanation:
BC = 4
CD is twice that, so CD is 8
Now, remembering that the area of ABCD = 32 and JKLM = 72, divide 72 by 32.
You get 2.25. This is how much bigger JKLM is than ABCD.
Using that, multiply the length of CD (which is 8) by 2.25 to get the length of LM.
You'll get 18.
Hope this helps!
Answer:
Height of the fighter plane =1.5km=1500 m
Speed of the fighter plane, v=720km/h=200 m/s
Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.
Muzzle velocity of the gun, u=600 m/s
Time taken by the shell to hit the plane =t
Horizontal distance travelled by the shell =u
x
t
Distance travelled by the plane =vt
The shell hits the plane. Hence, these two distances must be equal.
u
x
t=vt
u Sin θ=v
Sin θ=v/u
=200/600=1/3=0.33
θ=Sin
−1
(0.33)=19.50
In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.
H
max
=u
2
sin
2
(90−θ)/2g=600
2
/(2×10)=16km
