Answer:
105
Step-by-step explanation:
500 goes into 100, 5 times
21 times 5 is 105
So 21/100 is equal to 105/500
Or you can do
500*0.21=105
The product of A and B matrix will be option D; BA =
.
<h3>What is the multiplication of matrix?</h3>
If
and ![B = \left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right]](https://tex.z-dn.net/?f=B%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%26-5%5C%5C5%26-4%262%5C%5C-1%26-1%263%5Cend%7Barray%7D%5Cright%5D)
then,
BA = ![\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right] \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%26-5%5C%5C5%26-4%262%5C%5C-1%26-1%263%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%26-4%262%5C%5C5%261%265%5C%5C-1%26-3%26-4%5Cend%7Barray%7D%5Cright%5D)
BA = ![\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D16%2610%2639%5C%5C-32%26-30%26-18%5C%5C-6%26-6%26-19%5Cend%7Barray%7D%5Cright%5D)
Hence, the product of A and B matrix will be option D; BA =
.
Learn more about matrix here;
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Answer:
7850 square units
Step-by-step explanation:
According to the question;
- Circumference of a circle is 314 units;
We are required to find the area of the circle;
- First, we need to ask ourselves how we get the perimeter of a circle;
Perimeter of a circle = pi × D or 2 pi r
Therefore;
Rearranging the formula;
D = Perimeter ÷ pi
Taking pi to be 3.14
Then;
Diameter = 314 units ÷ 3.14
= 100 units
But, radius = Diameter ÷ 2
= 100 units ÷ 2
= 50 units
We also need to know how we calculate the area of a circle;
Area of a circle = pi×r²
Therefore;
Taking pi as 3.14
Then, Area = 3.14 × 50²
= 7850 square units
Thus, the area of the circle is 7850 square units
Answer: 4ab2 - 3a + 13b
Step-by-step explanation: (a•(b2))+13b)-4a)+(3ab2+a)
Factoring 4ab2 - 3a + 13b
Answer:
18 days.
Step-by-step explanation:
We have been given that 12 painters paint the wall of a school in 21 days.
So the wall painted by one painter will paint the wall in
As one painter will paint the wall in 252 days, so to find the number of days it will take to paint the same wall by 14 painters, we will divide time taken by one painter (252) by 14.


Therefore, it will take 18 days to paint the same wall by 14 painters.