Answer:
Approx 61.554 feet
Step-by-step explanation:
Since we are dealing with the opposite and adjacent sides, we will use tangent as our ratio.
Since the angle of elevation is 72 degrees, the left side of our equation is
.
The right side of the equation is opposite over adjacent.
![x/20](https://tex.z-dn.net/?f=x%2F20)
Set these equal to each other.
![tan(72) = x/20](https://tex.z-dn.net/?f=tan%2872%29%20%3D%20x%2F20)
Simplify.
![20 tan(72)=x](https://tex.z-dn.net/?f=20%20tan%2872%29%3Dx)
![20(3.078) = x](https://tex.z-dn.net/?f=20%283.078%29%20%3D%20x)
x is approximately 61.554.
Answer:
14
Step-by-step explanation:
Let's find (f-g)(x)
![3x^{2} + 1 - (1-x)\\3x^{2} + 1 -1 + x\\3x^{2} + x](https://tex.z-dn.net/?f=3x%5E%7B2%7D%20%2B%201%20-%20%281-x%29%5C%5C3x%5E%7B2%7D%20%2B%201%20-1%20%2B%20x%5C%5C3x%5E%7B2%7D%20%2B%20x)
Now let's plug in x=2, so to find (f-g)(2)
![3(2)^{2} + 2\\12 + 2 = 14](https://tex.z-dn.net/?f=3%282%29%5E%7B2%7D%20%2B%202%5C%5C12%20%2B%202%20%3D%2014)
Answer:
1/18
Step-by-step explanation:
Just go to calculator and write -9÷54-(-12÷54)
f(x) = 5x is linear. Just a straight line with a slope of +5. So if the intervals are both a difference of 1, then the average rate of change will be the same.
f(x2) - f(x1) over x2 - x1. That's the formula for average rate of change.
So for Section A:
f(x) = 5x, (0,1)
[f(1) - f(0)]/(1-0)
= [5(1) - 5(0)]/1
=(5)/1
=5
Do the same for section B and you'll get 5 as well.
I hope this helps you because I have no clue if my answer is right