Answer:
$37.50
Step-by-step explanation:
$125 times30%=$37.50
1. First I turned the fractions into decimals, just to make things easier for me.2. That gave me => (.25x)+(.75)+(.375)=(3.25)
3. Then, I combined like terms and move my equation around; so, that gave me (.25x) = (3.25) - (.75) - (.375) and when I solve the right side of the equation it gives me
(.25x) = (2.125)
4. After combining like terms and simplifying (the way I did in step 3), I will divide both sides by .25, to get the value of X alone; so, my equation then looks like => x=8.5
This state action is referred to as monadic. This is a function or a relation with an arity of one. A monad can relate an algebraic theory into a <span>composition of a function though its power is not always apparent.</span>
Answer:
da one in the middle and i do relize this is a test becuse i just took it.
Step-by-step explanation:
Remember: We have to work from either the LHS or the RHS.
(Left hand side or the Right hand side)
You should already know this:
![\huge{Cot(t) = \frac{1}{tan(t)} = \frac{1}{\frac{sin(t)}{cos(t)}} = 1\div \frac{sin(t)}{cos(t)} = 1\times \frac{cos(t)}{sin(t)}=\boxed{\frac{cos(t)}{sin(t)}}](https://tex.z-dn.net/?f=%5Chuge%7BCot%28t%29%20%3D%20%5Cfrac%7B1%7D%7Btan%28t%29%7D%20%3D%20%5Cfrac%7B1%7D%7B%5Cfrac%7Bsin%28t%29%7D%7Bcos%28t%29%7D%7D%20%3D%201%5Cdiv%20%5Cfrac%7Bsin%28t%29%7D%7Bcos%28t%29%7D%20%3D%201%5Ctimes%20%5Cfrac%7Bcos%28t%29%7D%7Bsin%28t%29%7D%3D%5Cboxed%7B%5Cfrac%7Bcos%28t%29%7D%7Bsin%28t%29%7D%7D)
You should also know this:
![sin^2(t) + cos^2(t) = 1\\\\\boxed{sin^2(t)} = 1 - cos^2(t)](https://tex.z-dn.net/?f=sin%5E2%28t%29%20%2B%20cos%5E2%28t%29%20%3D%201%5C%5C%5C%5C%5Cboxed%7Bsin%5E2%28t%29%7D%20%3D%201%20-%20cos%5E2%28t%29)
So plugging in both of those into our identity, we get:
![\frac{cos(t)}{sin(t)}\cdot sin^2(t) = cos(t)\cdot sin(t)](https://tex.z-dn.net/?f=%5Cfrac%7Bcos%28t%29%7D%7Bsin%28t%29%7D%5Ccdot%20sin%5E2%28t%29%20%3D%20cos%28t%29%5Ccdot%20sin%28t%29)
Simplify the denominator on the LHS (Left Hand Side)
We get:
![cos(t) \cdot sin(t) = cos(t) \cdot sin(t)](https://tex.z-dn.net/?f=cos%28t%29%20%5Ccdot%20sin%28t%29%20%3D%20cos%28t%29%20%5Ccdot%20sin%28t%29)
LHS = RHS
Therefore, identity is verified.