Tangent, the acronym SOH-CAH-TOA can help, SOH= sine over hypotenuse, CAH= cosine over hypotenuse, and TOA= opposite over adjacent
we know that
The exponential function is of the form
![f(x)=a^{x}](https://tex.z-dn.net/?f=%20f%28x%29%3Da%5E%7Bx%7D%20%20)
where
a is any value greater than ![0](https://tex.z-dn.net/?f=%200%20)
In General:
It is always greater than
, and never crosses the x-axis
It always intersects the y-axis at ![y=1](https://tex.z-dn.net/?f=%20y%3D1%20)
Its Domain is the Real Numbers
Its Range is the Positive Real Numbers
Examples
Let
![a=3](https://tex.z-dn.net/?f=%20a%3D3%20)
1) For ![x=2](https://tex.z-dn.net/?f=%20x%3D2%20)
![f(2)=3^{2} \\ f(2)=9](https://tex.z-dn.net/?f=%20f%282%29%3D3%5E%7B2%7D%20%5C%5C%20f%282%29%3D9%20)
2) For ![x=3](https://tex.z-dn.net/?f=%20x%3D3%20)
![f(3)=3^{3} \\ f(3)=27](https://tex.z-dn.net/?f=%20f%283%29%3D3%5E%7B3%7D%20%5C%5C%20f%283%29%3D27%20)
3) For ![x=4](https://tex.z-dn.net/?f=%20x%3D4%20)
![f(4)=3^{4} \\ f(4)=81](https://tex.z-dn.net/?f=%20f%284%29%3D3%5E%7B4%7D%20%5C%5C%20f%284%29%3D81%20)
4) For ![x=5](https://tex.z-dn.net/?f=%20x%3D5%20)
![f(5)=3^{5} \\ f(5)=243](https://tex.z-dn.net/?f=%20f%285%29%3D3%5E%7B5%7D%20%5C%5C%20f%285%29%3D243%20)
![f(3)/f(2)=\frac{27}{9} \\ =3](https://tex.z-dn.net/?f=%20f%283%29%2Ff%282%29%3D%5Cfrac%7B27%7D%7B9%7D%20%5C%5C%20%3D3%20)
![f(4)/f(3)=\frac{81}{27} \\ =3](https://tex.z-dn.net/?f=%20f%284%29%2Ff%283%29%3D%5Cfrac%7B81%7D%7B27%7D%20%5C%5C%20%3D3%20)
![f(5)/f(4)=\frac{243}{81} \\ =3](https://tex.z-dn.net/?f=%20f%285%29%2Ff%284%29%3D%5Cfrac%7B243%7D%7B81%7D%20%5C%5C%20%3D3%20)
therefore
the answer is the option
D.) exponential
2/3 and 8/12
There u go
Step by step explanation for
Break down 8/12 which will give u 2/3
If given the same number they are equivalent
So they form a proportion
Okay...Stan Megan thee stallion ah mwah
The formula for the circumference is pi times the diameter.
The circumference is 42 x 3.14.
42 x 3.14 = 131.88mm
The answer would be D.
Hope this helps!
- Juju