The answer to your question is 30+4.+10+4
RC is the diameter. As you can see, it runs across the circle.
I hope this helped you.
Brainliest answer is always appreciated.
To solve this, it might be easier to draw it out (see the picture below). I split it into two triangles and used trig functions to find the altitude. I used the big triangle to find theta, and the used theta to find the side of the altitude. *remember that sine= opposite/hypotenuse*
Answer:
89 meters
Step-by-step explanation:
We know it's 9 + "the height of the triangle".
Fortunately, the height of the triangle (let's call it y) can be computed from:
y^2 + 18^2 = 82^2 (Pythagoras theorem).
y^2 = 82^2 - 18^2 = 6724 - 324 = 6400
y = 80 (or y = -80 but it doesn't make sense in geometry).
so x = y + 9 = 89;
Answer:
![f(x) = 2[\frac{3^x}{9}] + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5B%5Cfrac%7B3%5Ex%7D%7B9%7D%5D%20%2B%202)
![f(x) = 8(4)^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%208%284%29%5Ex)
Step-by-step explanation:
Given
![f(x) = 2(3)^{x-2} + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%283%29%5E%7Bx-2%7D%20%2B%202)
![f(x) = \frac{1}{2}(4)^{x+2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%284%29%5E%7Bx%2B2%7D)
Required
Remove the h component
In a function, the h component is highlighted as:
![f(x) = a^{x+h}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%5E%7Bx%2Bh%7D)
So, we have:
![f(x) = 2(3)^{x-2} + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%283%29%5E%7Bx-2%7D%20%2B%202)
Split the exponents using the following law of indices:
![a^m/a^n = a^{m-n}](https://tex.z-dn.net/?f=a%5Em%2Fa%5En%20%3D%20a%5E%7Bm-n%7D)
![f(x) = 2*\frac{3^x}{3^2} + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%2A%5Cfrac%7B3%5Ex%7D%7B3%5E2%7D%20%2B%202)
![f(x) = 2*\frac{3^x}{9} + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%2A%5Cfrac%7B3%5Ex%7D%7B9%7D%20%2B%202)
![f(x) = 2[\frac{3^x}{9}] + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5B%5Cfrac%7B3%5Ex%7D%7B9%7D%5D%20%2B%202)
<em>The h component has been removed</em>
![f(x) = \frac{1}{2}(4)^{x+2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%284%29%5E%7Bx%2B2%7D)
Split the exponent using the following law of indices
![a^{m+n} =a^m * a^n](https://tex.z-dn.net/?f=a%5E%7Bm%2Bn%7D%20%3Da%5Em%20%2A%20a%5En)
So, we have:
![f(x) = \frac{1}{2}(4)^x * 4^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%284%29%5Ex%20%2A%204%5E2)
Express 4^2 as 16
![f(x) = \frac{1}{2}(4)^x * 16](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%284%29%5Ex%20%2A%2016)
Divide 16 by 2
![f(x) = 8(4)^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%208%284%29%5Ex)