Answer:
b. 12π
Step-by-step explanation:
C= 2πr
R= D/2= 12/2= 6
C= 2x3.14x6
2x6= 12
C= 12π
Answer:
Not possible.
Step-by-step explanation:
Addition of Matrix A and Matrix B is possible only if the order of matrix A is same as the order of matrix B.
Order of a matrix with
rows and
columns is
.
Here, matrix A is ![\left[\begin{array}{ccc}2&-4\\-4&10\\0&-8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-4%5C%5C-4%2610%5C%5C0%26-8%5Cend%7Barray%7D%5Cright%5D)
Matrix B is
.
Multiplying a matrix by a constant doesn't change its order.
So, order of matrix A is
as it has 3 rows and 2 columns.
The order of matrix 3B is
as it has 2 rows and 3 columns.
Therefore, addition is not possible as the order is different.
Answer:
- x +y = 500
- 0.65x +0.95y = 0.75(500)
- solution: (x, y) = (300, 200)
Step-by-step explanation:
A system of equations for the problem can be written using the two given relationships between quantities of brass alloys.
<h3>Setup</h3>
Let x and y represent the quantities in grams of the 65% and 90% alloys used, respectively. There are two relations given in the problem statement.
x + y = 500 . . . . . . quantity of new alloy needed
0.65x +0.90y = 0.75(500) . . . . . quantity of copper in the new alloy
These are the desired system of equations.
<h3>Solution</h3>
This problem does not ask for the solution, but it is easily found using substitution for x.
x = 500 -y
0.65(500 -y) +0.90y = 0.75(500)
(0.90 -0.65)y = 500(0.75 -0.65) . . . . . . subtract 0.65(500)
y = 500(0.10/0.25) = 200
x = 500 -200 = 300
300 grams of 65% copper and 200 grams of 90% copper are needed.
Answer:
Well, at least you improved. But maybe you should use another source besides brainly for your tests. Sometimes people put the wrong answers just to get points.
I hope you do better next time! Good luck!!
Answer:
The second one or B- "He did not find the prime factors of 4."
Step-by-step explanation:
I got it right on Edge2020