Answer:
2.55
Step-by-step explanation:
To find the radius, the formula is:
R = C/2 x pi
pi = 3.14
16/(2 x 3.14) = 2.54648
= 2.55
A dog is on a leash that is tied to a tree. The leash is 6 feet long. If the center of the tree could be considered the origin (0,0), the equation of the circle will be ![(x)^2 + (y)^2 = 6^2](https://tex.z-dn.net/?f=%28x%29%5E2%20%2B%20%28y%29%5E2%20%3D%206%5E2)
<h3>What is the equation of the circle with radius r units, centered at (x,y)?</h3>
If a circle O has a radius of r units length and it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:
![(x-h)^2 + (y-k)^2 = r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%20%2B%20%28y-k%29%5E2%20%3D%20r%5E2)
A dog is on a leash that is tied to a tree. The leash is 6 feet long. If the center of the tree could be considered the origin (0,0),
we have r = 6
the equation of the circle will be
![(x-h)^2 + (y-k)^2 = r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%20%2B%20%28y-k%29%5E2%20%3D%20r%5E2)
![(x-0)^2 + (y-0)^2 = r^2\\\\(x)^2 + (y)^2 = 6^2](https://tex.z-dn.net/?f=%28x-0%29%5E2%20%2B%20%28y-0%29%5E2%20%3D%20r%5E2%5C%5C%5C%5C%28x%29%5E2%20%2B%20%28y%29%5E2%20%3D%206%5E2)
Learn more about the equation of a circle here:
brainly.com/question/10165274
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Answer: the answer is d
Step-by-step explanation:
300 can be written as three hundred, 300/1,
70 can be written as seventy, 70/1,
5/10 can be written as 0.5, five over ten, 1/2,
8/100 can be written as 0.08, eight over ten, 2/25
I don't know what you need specifically so I'm sorry if this is the wrong information
Step-by-step explanation:
![\bf a)~2\cdot2^{-3} = 2^{1-3} =2^{-2}=\dfrac{1}{2^{2}} =\blue{\dfrac{1}{4}}](https://tex.z-dn.net/?f=%5Cbf%20a%29~2%5Ccdot2%5E%7B-3%7D%20%3D%20%202%5E%7B1-3%7D%20%3D2%5E%7B-2%7D%3D%5Cdfrac%7B1%7D%7B2%5E%7B2%7D%7D%20%3D%5Cblue%7B%5Cdfrac%7B1%7D%7B4%7D%7D)
![\bf b)~~\bigg(\dfrac{1}{4}\bigg)^{-2} \cdot 4= 4^{2} \cdot 4=4^{1+2}=4^{3}=\purple{64}](https://tex.z-dn.net/?f=%5Cbf%20b%29~~%5Cbigg%28%5Cdfrac%7B1%7D%7B4%7D%5Cbigg%29%5E%7B-2%7D%20%5Ccdot%204%3D%20%204%5E%7B2%7D%20%5Ccdot%204%3D4%5E%7B1%2B2%7D%3D4%5E%7B3%7D%3D%5Cpurple%7B64%7D)
![\bf c)~~\dfrac{\big(3^{-2}\big)^{3}\cdot 27^{2}}{3} =\dfrac{3^{-2\cdot3}\cdot (3^{3})^{2}}{3}=](https://tex.z-dn.net/?f=%5Cbf%20c%29~~%5Cdfrac%7B%5Cbig%283%5E%7B-2%7D%5Cbig%29%5E%7B3%7D%5Ccdot%2027%5E%7B2%7D%7D%7B3%7D%20%3D%5Cdfrac%7B3%5E%7B-2%5Ccdot3%7D%5Ccdot%20%283%5E%7B3%7D%29%5E%7B2%7D%7D%7B3%7D%3D)
![\bf \dfrac{3^{-6}\cdot 3^{3\cdot2}}{3}=\dfrac{3^{-6}\cdot 3^{6}}{3}= \dfrac{\dfrac{1}{\not3^{6}}\cdot \not3^{6}}{3}=\red{\dfrac{1}{3}}](https://tex.z-dn.net/?f=%5Cbf%20%5Cdfrac%7B3%5E%7B-6%7D%5Ccdot%203%5E%7B3%5Ccdot2%7D%7D%7B3%7D%3D%5Cdfrac%7B3%5E%7B-6%7D%5Ccdot%203%5E%7B6%7D%7D%7B3%7D%3D%20%20%5Cdfrac%7B%5Cdfrac%7B1%7D%7B%5Cnot3%5E%7B6%7D%7D%5Ccdot%20%5Cnot3%5E%7B6%7D%7D%7B3%7D%3D%5Cred%7B%5Cdfrac%7B1%7D%7B3%7D%7D)
![==Salmon==](https://tex.z-dn.net/?f=%3D%3DSalmon%3D%3D)