Answer:
a) Dimension of AB is DEFINED
b) Dimension of BA is UNDEFINED
Step-by-step explanation:
A matrix is always represented with (mxn) rows and columns. the rows are the elements in the horizontal line while the columns make up the elements in the vertical line. however, there are rules in multiplication of matrix.
To multiply matrix, multiply elements in the rows of the first matrix by the elements in the columns of the second matrix. for example if you're multiplying a 3by2 matrix by a 2by3 matrix, the resulting matrix will be a 3by3 matrix from (mxn) -rows and columns.
from the question, matrix A is a 3by5 (3x5) matrix i.e it has 3rows and 5columns.
matrix B is a 5by2 (5x2) matrix i.e it has 5rows and 2columns. multiplying AB = (3x5) X (5x2), hence the resultant matrix will be a 3by2 (3x2) and this shows that multiplication or dimension of AB is DEFINED.
As for the multiplication of BA = (5x2) X (3x5), from this multiplication, it is not possible as such we can't determine any resultant matrix, this makes multiplication or dimension of BA to be UNDEFINED.
Answer:
Sum of the interior angles = 1440 degrees.
Step-by-step explanation:
There are a total of 10 interior angles in the decagon. Now for all polygons the sum of all the exterior angles is 360 degrees. There are 10 exterior angles in the decagon and, since it is regular, each of them = 360/10 = 36 degrees. Each interior angle therefore measures 180 - 36 degrees and the sum of the interior angles is this value times ten.
360 / 10 = 36.
180 - 36 = 144.
10 * 144 = 1440 degrees.
Answer:
Step-by-step explanation:
<em>OR</em>
Information on trigonometric ratios
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It might help to think of that given number as 28.55 billion. Dropping all those extra zeros helps simplify things in my opinion. After this point, you round the number 28.55 to the nearest whole number to get the final answer 29 billion. The number 28.55 is closer to 29 than it is to 28. The '5' digit after the 8 tells you to round up rather than down.
The lowest natural temperature ever directly recorded at ground level on Earth is −89.2 °C (−128.6 °F; 184.0 K) at the Soviet Vostok Station in Antarctica on July 21, 1983 by ground measurements