The top row of matrix A (1, 2, 1) is multiplied with the first column of matrix B (1,0,-1) and the result is 1x1 + 2x0 + 1x -1 = 0 this is row 1 column 1 of the resultant matrix
The top row of matrix A (1,2,1) is multiplied with the second column of matrix B (-1, -1, 1) and the result is 1 x-1 + 2 x -1 + 1 x 1 = -2 , this is row 1 column 2 of the resultant matrix
Repeat with the second row of matrix A (-1,-1.-2) x (1,0,-1) = 1 this is row 2 column 1 of the resultant matrix, multiply the second row of A (-1,-1,-2) x (-1,-1,1) = 0, this is row 2 column 2 of the resultant
Repeat with the third row of matrix A( -1,1,-2) x (1,0, -1) = 1, this is row 3 column 1 of the resultant
the third row of A (-1,1,-2) x( -1,-1,1) = -2, this is row 3 column 2 of the resultant matrix
Matrix AB ( 0,-2/1,0/1,-2)
Answer:
31 men are enrolled
Step-by-step explanation:
1 to 5
Divide 186 by 6. Then you would get 31 since that is the unit rate.
To check, multiply 31 by 5 and you would get 155, add 155 with 31, you would get 186. I don't really know how to explain it but thats my answer.
Find the average=.<span><span>gr2ate2+0.5+ 23 </span>3
</span>Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).
which equals 3
Find the mean (arithmetic)-.<span><span>gr^2ate^2+0.5+ 23 </span>3
</span>The LCM (least common multiple) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.=<span>2grat
</span>
In other words:
0.5, 3/5, 0.65, 2/3
<span> Hope this helps
</span><span> So therefore, 2/3 is greater
</span>
We want to find the greatest common factor of two given expressions.
The GCF is 15*a*b.
The two expressions are:
45*a^3*b^2 and 15*a*b
To find the greatest common factor, we can rewrite the first expression to get:
45*a^3*b^2 = (3*15)*(a^2*a)*(b*b)
Now remember that we can perform a multiplication in any order we want, so we can rearrange the factors to write this as:
(3*15)*(a^2*a)*(b*b) = (15*a*b)*(3*a^2*b)
Then we have:
45*a^3*b^2 = (15*a*b)*(3*a^2*b)
So we can see that 15*a*b is a factor of 45*a^3*b^2, then the GCF between 15*a*b and 45*a^3*b^2 is just 15*a*b.
If you want to learn more, you can read:
brainly.com/question/1986258
Answer:
340 units2
Step-by-step explanation:
draw perpendicular line from upper left corner of trapezoid to cut bottom line(=9) into two part having length 3 and 6. Now a triangle and rectangle are formed.
The triangle has base=3, angle 60 degrees and angle of 90 degrees.
Finding third angle:
180-60-90= 30
finding other two sides of triangle by using law of sines:
a/sinA=b/sinB
3/sin30=b/sin60
b=3sin60/sin30
b=3(0.866)/0.5
b=5.2
b is the perpendicular line we drew
a/sinA=b/sinB
3/sin30=c/sin90
c=3sin90/sin30
c=3(1)/0.5
c=6
c is the hypotenuse of the triangle
Now Finding the perimeter of base:
The perimeter of the base=sum of the lengths of sides.
p=6+9+6+5.2
=26.2
area of trapezoid:
A= (a+b)h/2
= (6+9)(5.2)/2
=39
total surface area of prism:
TSA= ph + 2A
where h is height of prism = 10
TSA= 26.2(10) + 2(39)
=340
Hence total surface area of the given prism is 340 units square!
