For this case we have by definition of trigonometric relations of rectangular triangles that, the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. Then according to the figure we have:
![Sin (40) = \frac {CA} {7}](https://tex.z-dn.net/?f=Sin%20%2840%29%20%3D%20%5Cfrac%20%7BCA%7D%20%7B7%7D)
We cleared CA:
![AC = 7 * Sin (40)](https://tex.z-dn.net/?f=AC%20%3D%207%20%2A%20Sin%20%2840%29)
Answer:
Option A
B. You would need to multiply 7% and 24 and you should get 1.68 and that’s how much money you are paying in taxes then add the 1.68 to the $24 and you get $25.68
The standard form of equation is: 4x+2y = -13
Step-by-step explanation:
the standard form of a linear equation in two variables is given by:
![ax+by = c](https://tex.z-dn.net/?f=ax%2Bby%20%3D%20c)
Given equation is:
![2y+5=-4(x+2)](https://tex.z-dn.net/?f=2y%2B5%3D-4%28x%2B2%29)
Distributing -4 into the round bracket
![2y+5 = -4x-8](https://tex.z-dn.net/?f=2y%2B5%20%3D%20-4x-8)
Adding 4x on both sides
![4x+2y+5 = -4x-8+4x\\4x+2y+5 = -8](https://tex.z-dn.net/?f=4x%2B2y%2B5%20%3D%20-4x-8%2B4x%5C%5C4x%2B2y%2B5%20%3D%20-8)
subtracting 5 from both sides
![4x+2y+5-5 = -8-5\\4x+2y = -13](https://tex.z-dn.net/?f=4x%2B2y%2B5-5%20%3D%20-8-5%5C%5C4x%2B2y%20%3D%20-13)
The standard form of equation is: 4x+2y = -13
Keywords: Linear equation, variables
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