Answer:
1 : 30
Step-by-step explanation:
4 seconds : 2 min
however we know that 1 min has 60 seconds. Hence 2 min will have 2 x 60 = 120 seconds
Therefore we can substitute 2 min with 120 seconds
4 seconds : 2 min
4 seconds : 120 seconds (simplify by dividing both sides by 4)
4/4 : 120/4
1 : 30
This is quite difficult to try to explain so I'm going to set up some matrices to demonstrate as best as I can. If matrix A has 3 rows and 2 columns, it would be respresented as
. This matrix can only be multiplied by another matrix that has the same number off rows as the number of columns in A. For example, if matrix B has 2 rows and 3 columns, it would be represented as
. If we set them next to each other, it might be easier to see the rule:
. The 2's match, and the other numbers represent how your solution matrix will look. Your solution matrix will be a 3x3. Here is matrix A:
and here's B:
. We can multiply these according to the rules. The multiplication works like this:
. first row of A times first column of B: (1*1)+(2*4) = 9. that goes into row 1 column 1 of your solution matrix. Go va to row 1 in A but column 2 in B: (1*2)+(2*5) = 12. That goes into row 1 column 2 of your solution matrix. Next row 1 of A and column 3 of B: (1*3)+(2*6) = 15. That goes into the first row column 3 of the solutiong matrix. Now move to row 2 of A column 1 of B: (3*1)+(4*4) = 19. That goes into row 2 column 1 in your solution matrix. Next row 2 A, column 2 B: (3*2)+(4*5) = 26. That goes into row 2 column 2 solution matrix. Continue as I showed you. You should be fine.
Let the volume of prism A be X. Then the volume of prism B is 2X. The combined volume could be described like this:
432 = X + 2X
Solving the equation,
432 = 3X
432/3=X
144=X
The volume of A is 144 cubic feet, while the volume of B is 288 cubic feet.
It should be noted that some of the examples of situations of transformation where the image of the object appear different but represent the same thing include:
-
The rigid transformation of geometric and three-dimensional shapes.
- The transformation of bank notes to an electronic form of money.
- The transformation of liquid water to ice and steam.
- The transformation of cube sugar to granulated sugar.
<h3>Analyzing transformations.</h3>
It should be noted that algebraic operations can be performed on polynomials in order to give equivalent expressions that have the same value.
In the example given above, it can be deduced that even though, there is a transformation as the things appear different, but its meaning remains the same.
Learn more about transformation on:
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