Answer:
Step-by-step explanation:
You can’t just substitute 0 for θ. 0 is a constant, not a variable.
secθ = -13/5
cosθ = 1/secθ = -5/13
sin²θ = 1 - cos²θ = 144/169
sinθ = -12/13
cscθ = 1/sinθ = -13/12
tanθ = sinθ/cosθ = 12/5
cotθ = 1/tanθ = 5/12
Answer:
7
Step-by-step explanation:
7 squared = 49
--------------------------------------Between 7 and 8
8 squared = 64
52 is closer to 49 than 64 so it has to be below 7.5
Absolute change refers to the simple difference in the indicator over two periods in time, i.e.
![\text{Absolute change}=\text{Value in Period 1}-\text{Value in Period 2}.](https://tex.z-dn.net/?f=%5Ctext%7BAbsolute%20change%7D%3D%5Ctext%7BValue%20in%20Period%201%7D-%5Ctext%7BValue%20in%20Period%202%7D.)
Relative change refers to the absolute change as a percentage of the value of the indicator in the earlier period, i.e.
![\text{Relative change}=\dfrac{\text{Absolute change}}{\text{Value in Period 1}}\cdot 100\%.](https://tex.z-dn.net/?f=%5Ctext%7BRelative%20change%7D%3D%5Cdfrac%7B%5Ctext%7BAbsolute%20change%7D%7D%7B%5Ctext%7BValue%20in%20Period%201%7D%7D%5Ccdot%20100%5C%25.)
Now,
Value in Period 1 = 651,829
Value in Period 2 = 620,666.
Then
![\text{Absolute change}=651,829-620,666=31,163.](https://tex.z-dn.net/?f=%5Ctext%7BAbsolute%20change%7D%3D651%2C829-620%2C666%3D31%2C163.)
![\text{Relative change}=\dfrac{31,163}{651,829}\cdot 100\%\approx 4.78\%.](https://tex.z-dn.net/?f=%5Ctext%7BRelative%20change%7D%3D%5Cdfrac%7B31%2C163%7D%7B651%2C829%7D%5Ccdot%20100%5C%25%5Capprox%204.78%5C%25.)
The ratio between the difference in amounts of passengers to the amount of passengers in November of 1996 is 4.78%.
Answer:
see attached
Step-by-step explanation:
The attachments show the initial (brown) and final (blue) positions of the phone. The spreadsheet shows all the intermediate locations and the formulas used to determine them.
The two reflections cancel the total of 180° of CW rotation, so the net result is simply a translation. That translation is up by 9 units.
__
Translation up adds to the y-coefficient; translation right adds to the x-coefficient. Down or left use negative values.
90° CW does this: (x, y) ⇒ (y, -x)
Reflection across y does this: (x, y) ⇒ (-x, y)
Reflection across x does this: (x, y) ⇒ (x, -y)
Note that the notation
![(f+g)(x)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29)
is just another way of writing
![f(x)+g(x)](https://tex.z-dn.net/?f=f%28x%29%2Bg%28x%29)
. Here, we're simply taking the expression for f(x) and adding the expression for g(x) to it. Together, we have:
![f(x)=2x-5\\g(x)=x^2-4x-8](https://tex.z-dn.net/?f=f%28x%29%3D2x-5%5C%5Cg%28x%29%3Dx%5E2-4x-8)
Which means that
![(f+g)(x)=f(x)+g(x)=(2x-5)+(x^2-4x-8)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29%3D%282x-5%29%2B%28x%5E2-4x-8%29)
And from there, it's just a matter of combining like terms to simplify.