Answer:
The statement is false
Step-by-step explanation:
we know that
![tan(x)=\frac{sin(x)}{cos(x)}](https://tex.z-dn.net/?f=tan%28x%29%3D%5Cfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D)
The tangent function will be positive when the sine function and the cosine function have the same sign
so
In the first quadrant the tangent function is positive
In the third quadrant the tangent function is positive
so
The statement is false
Answer:
![\theta = 4~radians](https://tex.z-dn.net/?f=%20%5Ctheta%20%3D%204~radians%20)
Step-by-step explanation:
![s = \theta r](https://tex.z-dn.net/?f=%20s%20%3D%20%5Ctheta%20r%20)
![20~cm = \theta \times 5~cm](https://tex.z-dn.net/?f=%2020~cm%20%3D%20%5Ctheta%20%5Ctimes%205~cm%20)
![\theta = 4~radians](https://tex.z-dn.net/?f=%20%5Ctheta%20%3D%204~radians%20)
The solution to the equations is x=20 and y=40
Step-by-step explanation:
Let,
Small tier = x
Medium tier = y
According to given statement;
1.The situation with a system of equations.
3x+y = 100 Eqn 1
3x+2y=140 Eqn 2
2. Solving the System of equations;
![Subtracting\ Eqn\ 1\ from\ Eqn\ 2\\(3x+2y)-(3x+y)=140-100\\3x+2y-3x-y=40\\y=40\\Putting\ value\ of\ y\ in\ Eqn 1;\\3x+40=100\\3x=100-40\\3x=60\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3}=\frac{60}{3}\\x=20](https://tex.z-dn.net/?f=Subtracting%5C%20Eqn%5C%201%5C%20from%5C%20Eqn%5C%202%5C%5C%283x%2B2y%29-%283x%2By%29%3D140-100%5C%5C3x%2B2y-3x-y%3D40%5C%5Cy%3D40%5C%5CPutting%5C%20value%5C%20of%5C%20y%5C%20in%5C%20Eqn%201%3B%5C%5C3x%2B40%3D100%5C%5C3x%3D100-40%5C%5C3x%3D60%5C%5CDividing%5C%20both%5C%20sides%5C%20by%5C%203%5C%5C%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B60%7D%7B3%7D%5C%5Cx%3D20)
The solution to the equations is x=20 and y=40
Keywords: Linear equations, subtraction
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