Answer:
B is correct
Step-by-step explanation:
This is not an example of principle of independence
Answer:
Cool
Do you need help with anything or is it just a fact?
You can check whether this is true using Pythagoras' Theorem. The Pythagorean Theorem:
a² + b² = c², where c is the hypotenuse of a right triangle.
Let's plug in the given values and check the validity of the statement.
a² + b² = c²
7² + 9² = 11²
49 + 81 = 121
130 = 121
This is false. Thus,
Answer:
False - a triangle with side lengths 7, 9, and 11 is not a right triangle.
Given:
The value is tan(195°).
To find:
The exact value of tan(195°).
Solution:
We have,
![\tan (195^\circ)=\tan (180^\circ+15^\circ)](https://tex.z-dn.net/?f=%5Ctan%20%28195%5E%5Ccirc%29%3D%5Ctan%20%28180%5E%5Ccirc%2B15%5E%5Ccirc%29)
![[\because \tan (180^\circ-\theta)=\tan \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ctan%20%28180%5E%5Ccirc-%5Ctheta%29%3D%5Ctan%20%5Ctheta%5D)
It can be written as
![\tan (195^\circ)=\tan (45^\circ-30^\circ)](https://tex.z-dn.net/?f=%5Ctan%20%28195%5E%5Ccirc%29%3D%5Ctan%20%2845%5E%5Ccirc-30%5E%5Ccirc%29)
![[\because \tan (A-B)=\dfrac{\tan A-\tan B}{1+\tan A\tan B}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ctan%20%28A-B%29%3D%5Cdfrac%7B%5Ctan%20A-%5Ctan%20B%7D%7B1%2B%5Ctan%20A%5Ctan%20B%7D%5D)
![\tan (195^\circ)=\dfrac{1-\dfrac{1}{\sqrt{3}}}{1+(1)(\dfrac{1}{\sqrt{3}})}](https://tex.z-dn.net/?f=%5Ctan%20%28195%5E%5Ccirc%29%3D%5Cdfrac%7B1-%5Cdfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%7D%7B1%2B%281%29%28%5Cdfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%29%7D)
![\tan (195^\circ)=\dfrac{\dfrac{\sqrt{3}-1}{\sqrt{3}}}{1+\dfrac{1}{\sqrt{3}}}](https://tex.z-dn.net/?f=%5Ctan%20%28195%5E%5Ccirc%29%3D%5Cdfrac%7B%5Cdfrac%7B%5Csqrt%7B3%7D-1%7D%7B%5Csqrt%7B3%7D%7D%7D%7B1%2B%5Cdfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%7D)
![\tan (195^\circ)=\dfrac{\dfrac{\sqrt{3}-1}{\sqrt{3}}}{\dfrac{\sqrt{3}+1}{\sqrt{3}}}](https://tex.z-dn.net/?f=%5Ctan%20%28195%5E%5Ccirc%29%3D%5Cdfrac%7B%5Cdfrac%7B%5Csqrt%7B3%7D-1%7D%7B%5Csqrt%7B3%7D%7D%7D%7B%5Cdfrac%7B%5Csqrt%7B3%7D%2B1%7D%7B%5Csqrt%7B3%7D%7D%7D)
![\tan (195^\circ)=\dfrac{\sqrt{3}-1}{\sqrt{3}+1}](https://tex.z-dn.net/?f=%5Ctan%20%28195%5E%5Ccirc%29%3D%5Cdfrac%7B%5Csqrt%7B3%7D-1%7D%7B%5Csqrt%7B3%7D%2B1%7D)
Therefore, the exact value of tan(195°) is
.
65-52=13
13x100
65 = 20%
the discount is given 20%