Answer:
case A. ![\sqrt{18}*\sqrt{6}](https://tex.z-dn.net/?f=%5Csqrt%7B18%7D%2A%5Csqrt%7B6%7D)
case B. ![\sqrt{108}](https://tex.z-dn.net/?f=%5Csqrt%7B108%7D)
case E. ![\sqrt{3}*\sqrt{36}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%2A%5Csqrt%7B36%7D)
Step-by-step explanation:
we have
![6\sqrt{3}](https://tex.z-dn.net/?f=6%5Csqrt%7B3%7D)
we know that
![6\sqrt{3}=\sqrt{36*3}=\sqrt{108}](https://tex.z-dn.net/?f=6%5Csqrt%7B3%7D%3D%5Csqrt%7B36%2A3%7D%3D%5Csqrt%7B108%7D)
<u>Verify each case</u>
case A) ![\sqrt{18}*\sqrt{6}](https://tex.z-dn.net/?f=%5Csqrt%7B18%7D%2A%5Csqrt%7B6%7D)
![\sqrt{18}*\sqrt{6}=\sqrt{18*6}=\sqrt{108}](https://tex.z-dn.net/?f=%5Csqrt%7B18%7D%2A%5Csqrt%7B6%7D%3D%5Csqrt%7B18%2A6%7D%3D%5Csqrt%7B108%7D)
therefore
is equivalent to ![6\sqrt{3}](https://tex.z-dn.net/?f=6%5Csqrt%7B3%7D)
case B) ![\sqrt{108}](https://tex.z-dn.net/?f=%5Csqrt%7B108%7D)
so
is equivalent to ![6\sqrt{3}](https://tex.z-dn.net/?f=6%5Csqrt%7B3%7D)
case C) ![\sqrt{3}*\sqrt{6}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%2A%5Csqrt%7B6%7D)
![\sqrt{3}*\sqrt{6}=\sqrt{18}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%2A%5Csqrt%7B6%7D%3D%5Csqrt%7B18%7D)
therefore
is not equivalent to ![6\sqrt{3}](https://tex.z-dn.net/?f=6%5Csqrt%7B3%7D)
case D) ![\sqrt{54}](https://tex.z-dn.net/?f=%5Csqrt%7B54%7D)
so
is not equivalent to ![6\sqrt{3}](https://tex.z-dn.net/?f=6%5Csqrt%7B3%7D)
case E) ![\sqrt{3}*\sqrt{36}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%2A%5Csqrt%7B36%7D)
![\sqrt{3}*\sqrt{36}=\sqrt{108}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%2A%5Csqrt%7B36%7D%3D%5Csqrt%7B108%7D)
therefore
is equivalent to ![6\sqrt{3}](https://tex.z-dn.net/?f=6%5Csqrt%7B3%7D)
case F) ![108](https://tex.z-dn.net/?f=108)
so
is not equivalent to ![6\sqrt{3}](https://tex.z-dn.net/?f=6%5Csqrt%7B3%7D)
Answer:
0.143
Step-by-step explanation:
You need to convert 1/7 to have a denominator of either 100 or 10. We can do 100.
1/7 = ?/100
then you need to divide 100/7 to find the scale factor which in this case is 14.286
then you can insert it into the equation
1/7 = 1 * 14.286/100
you end up with
14.286/100
then you can dived the two
0.14286 is what you end up with
but since it says rounded to the 3rd decimal place you go to the 3rd which is 2.
To round it you look at the 4th number which is 8.
<em>5 and above give it a shove up</em>
So now its 0.143
Hope this helped :)
Answer:(-2,3.5)
Step-by-step explanation: Add the endpoints and divide by two for the x-values and the y-values
Answer:
12 inches, I hope this is right! :)
Step-by-step explanation:
circumference = 75 inches
75 / 2 = 35.7
37.5 / π = 11.9366207
Rounded to the nearest inch:
12 inches