Hey there! :)
Your answer is: Between 11 and 12
11² = 11 × 11 = 121
12² = 12 × 12 = 144
129 is between 121 and 144
Hope this helps :)
Answer:
Here's one way to do it
Step-by-step explanation:
Divide the hexagon into triangles, for example, as in the diagram below.
The triangles are all inside the hexagon, so the sum of their interior angles is the sum of those of the hexagon.
The sum of the interior angles of a triangle is 180°.
There are four triangles, so
Sum of interior angles = 4 × 180° = 720°
Answer: 0.6
Why: 1/3 * 1/5= 0.066
0.066+8/15= 0.6
Hope this Helps :D
-(2.71) goes with 2.71
2.71 goes with -2.71
-(-2.71) goes with 2.71
Answer:
<h2>
The solution to the system of equation is x = 8, y = 13</h2>
Step-by-step explanation:
The system of equation using matrix equation can be solved using crammers rule. Given the equation;
7x-4y=4
10x-6y=2
The equation will be rewritten in the format AX = B
matrix A will be 2*2 matrix
X will be a column matrix containing the variables
B will be a column matrix
![\left[\begin{array}{cc}7&-4\\10&-6\\\end{array}\right] \left[\begin{array}{c}x&y\\\\\end{array}\right] = \right] \left[\begin{array}{c}4&2\\\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D7%26-4%5C%5C10%26-6%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%5C%5C%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D4%262%5C%5C%5C%5C%5Cend%7Barray%7D%5Cright%5D)
first we will find the determinant of the matrix A

To get the value of x, we will substitute the column matrix at the right hand side to replace the first column pf matrix A, then we look for the determinant and divide the determinant by the determinant of matrix A itself.
![|X|=\left[\begin{array}{cc}4&-4\\2&-6\\\end{array}\right]\\|X|= -24+8\\|X|=-16](https://tex.z-dn.net/?f=%7CX%7C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26-4%5C%5C2%26-6%5C%5C%5Cend%7Barray%7D%5Cright%5D%5C%5C%7CX%7C%3D%20-24%2B8%5C%5C%7CX%7C%3D-16)
x = |X|/|A|
x = -16/-2
x = 8
Similarly for y, we will substitute the column matrix at the right hand side to replace the second column of matrix A, then we look for the determinant and divide the determinant by the determinant of matrix A itself.
![|Y|=\left[\begin{array}{cc}7&4\\10&2\\\end{array}\right]\\|Y|= 14-40\\|Y|=-26](https://tex.z-dn.net/?f=%7CY%7C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D7%264%5C%5C10%262%5C%5C%5Cend%7Barray%7D%5Cright%5D%5C%5C%7CY%7C%3D%2014-40%5C%5C%7CY%7C%3D-26)
y = |Y|/|A|
y = -26/-2
y = 13
The solution to the system of equation is x = 8, y = 13