4x - 1 < 7
To solve for x:
4x - 1 + 1 < 7 + 1
4x < 8
Divide both sides by 4:
4x/4 < 8/4
x < 2
Given,
0.47
X= 0.47
10x = 4.7
100x = 47.7
90X = 43
X = 43/90
p/q= 43/90
Solution in the attachment.
![\det\left[\begin{array}{ccc}4&2&-3\\5&-6&1\\0&2&-1\end{array}\right]=4\cdot\left|\begin{array}{ccc}-6&1\\2&-1\end{array}\right|-2\cdot\left|\begin{array}{ccc}5&1\\0&-1\end{array}\right|-3\cdot\left|\begin{array}{ccc}5&-6\\0&2\end{array}\right|](https://tex.z-dn.net/?f=%20%5Cdet%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%262%26-3%5C%5C5%26-6%261%5C%5C0%262%26-1%5Cend%7Barray%7D%5Cright%5D%3D4%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D-6%261%5C%5C2%26-1%5Cend%7Barray%7D%5Cright%7C-2%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D5%261%5C%5C0%26-1%5Cend%7Barray%7D%5Cright%7C-3%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D5%26-6%5C%5C0%262%5Cend%7Barray%7D%5Cright%7C%20)
You are going to use the cos trig function as you have the adjacent side and the hypotenuse.
Cos^-1(12/13)=angle x
22.62
Since the wires are going to make an X, if one angle is 72 deg, then you know the angle directly opposite to it is also 72 deg. Looking at a single side of the x, you see there is a total 180 deg angle (72 + unknown angle), so the unknown angle is 180 - 72, and the angle directly opposite to it will be the same.
