Answer: 200
Step-by-step explanation:
First I would do it like this.
12.5
X. 16
—————-
6 times 5 is 0, carry the 3, 6 times 2 is 12 and add 3 from the other which is 15, put the 1 from the 15 to the one next to the 12. 6 times 1 is 6 plus 1 is 7 which now you have 750. 5 times 1 is 5, 2 times 1 is 2, 1 times 1 is 1. It should look like this now.
12.5
X 16
—————
750
+ 1250
——————-
Which is 8750 but wait. Where is the decimal? Well, there is only one number behind the decimal so it is 875.0 or 875.
Answer: 0
Explanation:
-1/2n -(-1/2n)
= -1/2n + 1/2n
= 0
Answer:
1 3/4
Step-by-step explanation:
For every cup of flour the recipe uses, it uses 3/4 cups of sugar. So, 1 cup of flour plus 3/4 of sugar is 1 3/4.
Answer:
Step-by-step explanation:
First solve -5x+9y=-12 for x:
-5x+9y=-12
-5x+9y-9y=-12-9y
-5x=-12-9
-5x=-9-12
-5x/-5=-9/5-12/-5
x=9/5y+12/6
Substitute x into an equation
3(-9/5y+12/6)+2y=22
37/5y+36/5=22
37/5y+36/5-36/5=22-36/5
37/5y=74/5
37/5y/37/5=74/5/37/5
y=2
Substitute y in x=-9/5y+12/6
9/5(2)+12/6
x=6
Solution Set: (6,2)
xoxo
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
