Answer: There are 
ways of doing this
Hi!
To solve this problem we can think in term of binary numbers. Let's start with an example:
n=5, A = {1, 2 ,3}, B = {4,5}
We can think of A as 11100, number 1 meaning "this element is in A" and number 0 meaning "this element is not in A"
And we can think of B as 00011.
Thinking like this, the empty set is 00000, and [n] =11111 (this is the case A=empty set, B=[n])
This representation is a 5 digit binary number. There are 
of these numbers. Each one of this is a possible selection of A and B. But there are repetitions: 11100 is the same selection as 00011. So we have to divide by two. The total number of ways of selecting A and B is the 
.
This can be easily generalized to n bits.
The attached figure represents the image of A"B"C" after the transformation
<h3>How to transform the triangle?</h3>
The transformation rule is given as:
A"B"C" = Ro90° (T(-4,3)(ABC))
This means that we rotate the triangle 90 degrees clockwise, and then translate the triangle
From the figure, the coordinates of ABC are
A = (-1, 2)
B = (1, 4)
C = (3, -1)
The rule of 90 degrees clockwise rotation is
(x,y) ⇒ (y,-x)
So, we have
A' = (2, 1)
B' = (4, -1)
C' = (-1, -3)
The translation of the triangle by T(-4,3) is
(x,y) ⇒ (x - 4, y + 3)
So, we have
A'' = (-2, 4)
B'' = (0, 2)
C'' = (-5, 0)
See attachment for the image of the transformation
Read more about transformation at:
brainly.com/question/11709244
#SPJ1
Answer: True
Step-by-step explanation:
Prism volume = lwh
Pyramid Volume = lwh/3
In this question, some of the data is missing so its a complete question and the solution can be defined as follows:
By given question, calculating equations are:
Putting the equation (c) value in the equation (a) to calculate value:
Putting equation (c) and (d) value into equation (b):
Putting m value into equation (c) and equation (d) to calculate its value:
Calculating the s value:
Calculating the r value:
So, the final value of "m, s, and r" are "900, 1800, and 5800".
Learn more:
brainly.com/question/2929577
In order to calculate, you need to find their LCM
LCM of 5,6 and 8 is equal to 120
So, That time will be 120 sec = 2 min.
In short, Your Final Answer would be 2 min.
Hope this helps!
