Answer:
Step-by-step explanation:
We want to write the trignometric expression:
As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:
Take the secant of both sides:
Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:
By substitutition:
Using an double-angle identity:
We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:
Simplify. Therefore:
The first thing any good mathematician does is convert the measurements to the same unit as what the question is asking. In this problem, it states that the pool fills at a rate of 20 cubic meters per hour. Just keep in mind that an hour is 60 minutes.
The next step is to see how many cubic meters will cost $300. This can be done by dividing 300 by 10. This gets you 30 cubic meters of water.
You already know that 60 minutes is 20 cubic meters of water. That leaves the remaining 10 cubic meters of water. By dividing the rate given, you get that 30 minutes is 10 cubic meters of water. Add the 60 and 30 together to get 90 minutes.
It will take 90 minutes for the pump to use $300.
Answer:
254.47
Step-by-step explanation:
Formula is pi r^2
the radius is 9 which is half of the diameter
pi 9^2
So make a square and then you an answer from (0,1) to (4,3) the slope is 1/2 in simplest form, but for a more accurate answer a calculator.
Answer-
<em>The inverse of 
is </em>
<u>Solution-</u>
The given function is,
We can get the inverse by interchanging he variable x and y among themselves and then separating each variables.
So in the inverse would be,
Taking log of both sides,
As,
Applying the same,
As,
Applying the same,
Therefore, the inverse of is 
.
