The formula for circumference is C = 2πr, where r is the radius of the circle. However, the radius is half the diameter, so the circumference could also be calculated using the formula C = πd, where d is the diameter of the circle. π is commonly shortened to 3.14.
If the diameter of the circle is 6 feet, an estimate of the circle's circumference is 6 times 3 feet or 18 feet.
Answer:
18 ft
Y=5x
Explanation:
You would take two points and use the slope formula
Y2-y1/x2-x1
So I took the points (0,0) and (1,5)
5-0/1-0
5/1
5= the slope
So now we know y=5x+b and since it shows us on the graph where the line crosses the y axis we know the y intercept will be zero because it crosses at 0. When the y-intercept is 0 we don’t even need to list it.
Answer:
The answer is 14/8
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
This is an equation, where we find the value of z. We can simplify the equation.
-12.2z - 13.4z = -179.2
-25.6z = -179.2
Now, to find the value of z, we have to isolate the variable by dividing both sides by -25.6
-25.6/-25.6z = -179.2/-25.6
1z = 7
z = 7
Remember the following information:
![a^{\frac{m}{n}} = \sqrt[n]{a^m}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%5Em%7D)
Using this information, we can convert all of the expressions into radical form:
![2^{\frac{1}{2}} = \sqrt[2]{2} = \sqrt{2}](https://tex.z-dn.net/?f=2%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%3D%20%5Csqrt%5B2%5D%7B2%7D%20%3D%20%5Csqrt%7B2%7D)
![2^{\frac{2}{3}} = \sqrt[3]{2^2} = \sqrt[3]{4}](https://tex.z-dn.net/?f=2%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B2%5E2%7D%20%3D%20%5Csqrt%5B3%5D%7B4%7D)
![3^{\frac{3}{2}} = \sqrt[2]{3^3} = \sqrt{27}](https://tex.z-dn.net/?f=3%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%20%3D%20%5Csqrt%5B2%5D%7B3%5E3%7D%20%3D%20%5Csqrt%7B27%7D)
![3^{\frac{1}{3}} = \sqrt[3]{3}](https://tex.z-dn.net/?f=3%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B3%7D)
Our answers are ![\boxed{\sqrt{2}, \sqrt[3]{4}, \sqrt{27}, \sqrt[3]{3}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csqrt%7B2%7D%2C%20%5Csqrt%5B3%5D%7B4%7D%2C%20%5Csqrt%7B27%7D%2C%20%5Csqrt%5B3%5D%7B3%7D%7D)
, respectively.
