Answer:
The augmented matrix for the system of equations is ![\left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D0%262%26-3%261%5C%5C7%260%265%268%5C%5C4%261%26-3%266%5Cend%7Barray%7D%5Cright%5D)
.
Step-by-step explanation:
This system consists in three equations with three variables (
, 
, 
).The augmented matrix of a system of equations is formed by the coefficients and constants of the system of linear equations. In this case, we conclude that the system of equations has the following matrix:
The augmented matrix for the system of equations is .
Answer:
Step-by-step explanation:
The angle is 60 degrees and a whole circle has a total of 360 degrees, of that makes sense. So if you do 360/60, you get 6. This tells you that 6 of those particular arcs fit into this particular circle.
Find the circumference of the circle. You are given the radius, 3. Use the circumference formula, 2(pi)(r). You get 6pi.
6/6 = 1, so the length of that one arc is just p
Hope this helps!.
Answer:
1700 books
Step-by-step explanation:
We are given;
- % of non-fiction books in the library as 28%
- Number of fiction books in the library as 1,224 books
We are required to determine the total number of books.
First we determine the percentage of non-fiction books
We need to know that;
% of fiction books + % of non-fiction books = 100%
Therefore;
% of non-fiction books = 100 % - 28 %
= 72%
Second we determine the total number of books
We know that;
Total number of books = 100%
But;
72% = 1,224 books
Therefore;
Total number of books = (1,224 × 100%) ÷ 72%
= 1700 books
Hence, the library has a total number of 1700 books
The radius of the cylinder before deformation is 7.5mm
<h3>Deformation of an object</h3>
From the given question, we are given that;
cold work radius of the cylinder is 10mm
Ductility = 25%
Determine the radius before deformation
Radius before deformation = (1- 0.5) + 10
Radius before deformation = 0.75 * 10
Radius before deformation = 7.5mm
Hence the radius of the cylinder before deformation is 7.5mm
Learn more on deformation here: brainly.com/question/6417346
X=-4 cause
-2=x+2
Then -4=x
