There are 12 different ways to organize your schedule
There are 2 English classes
There are 3 math classes
There are 3 history classes
Take 2x3x3 and you get 12
Answer:
(x,y)→(y,-x)
Step-by-step explanation:
Parallelogram ABCD:
A(2,5)
B(5,4)
C(5,2)
D(2,3)
Parallelogram A'B'C'D':
A'(5,-4)
B'(4,-5)
C'(2,-5)
D'(3,-2)
Rule:
A(2,5)→A'(5,-2)
B(5,4)→B'(4,-5)
C(5,2)→C'(2,-5)
D(2,3)→D'(3,-2)
so the rule is
(x,y)→(y,-x)
Answer:
A)196J
B)-208J
C)3467J
Step-by-step explanation:
We are given that a 20 kg cylindrical mass is dropped onto the mat from a height of 1 m above the mat. During the impact, the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to only 4 cm thick.
So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m
a)
Using Conservations of energy
Potential energy at the top = Kinetic energy at the point before touching the surface
Kinetic energy = mgh= 
b)
Work done by the mat do to stop the fall of the cylinder =
C)
Work done=

F=3467J
The volume of a cylinder can be calculated by multiplying the area of its base times the height. It is calculated as follows:
V = πr²h
V = π(8/2)²(20)
V = 1005.31 cm³
Therefore, the correct answer is option 1. Hope this answers the question. Have a nice day.