Answer:
translation followed by a rotation
Step-by-step explanation:
Answer:
W = mgh
W = 226290 x 9.8 x 9
W = 19958778Joules
W= 19.958778MegaJoules
Step-by-step explanation:
Work to full the tank is
W = mgh.
m is the mass of the water.
But density = mass/volume, where volume is the volume of the complete the remaining half full of water to fill the cylindrical tank.
mass = density x volume.
Volume of cylinder = πr2h
Volume to fill the cylinder = (πr2h)/2.(half of total volume)
Volume = (22x4x4x9)/(7x2). Height used is 18/2 = 9m
Volume = 226.29m3.
Mass = density x volume= 1000 x 226.29 = 226290kg
Therefore, the work is
W = mgh
W = 226290 x 9.8 x 9
W = 19958778Joule = 19.958778MegaJoules
Answer: 5%
Step-by-step explanation:
The number of employees that took Winter vacation = 75%
The number of employees that took Both winter and summer vacation = 40%
The number that took Neither = 20
The total number of employees (%) =Winter + Summer - Both + Neither = 100%
75%+ Summer - 40%+ 20%= 100%
Solving for Summer = 45%
Now we are interested in the employees that took summer but not winter = Summer only = Summer - Both(i.e. summer overlap with winter) = 45%-40%= 5%
Answer:
x=4 y=6
Step-by-step explanation:
12 divide by 3 = 4
12 divide by 2 = 6
Answer:
y = 
Step-by-step explanation:
We are given the point (3, 10).
The second point is 2 on the x-axis and -7 on the y-axis. So our second point is: (3 + 2, 10 - 7) which is (5, 3).
Our formula for slope is m = 
= 
So, our equation would be 
= 
Using the standard formula of a line, y = mx + b, we can substitute for the slope, m.
y = 
+ b
Now, we can substitute a point on the line to determine the y-intercept:
Using the point (3, 10),
10 = 
+ b
b = 10 + 
b = 
So our full equation is: y =
