Answer:
235.34
Step-by-step explanation:
122×193-12 = 23534
23534/100
23534/100 = 235.34
Answer:
The diameter is any straight line that passes through the center of the circle, which endpoints can lie on. The radius is half the diameter. They help us find the circumference of a circle
Answer:
1. 97.44
2. 34.32
3. 721.6
Step-by-step explanation:
Answer:
The correct answer is
![2\frac{2}{9}](https://tex.z-dn.net/?f=2%5Cfrac%7B2%7D%7B9%7D)
Step-by-step explanation:
Method 1
We want to simplify,
![-2\frac{1}{9} -(-4\frac{1}{3})](https://tex.z-dn.net/?f=-2%5Cfrac%7B1%7D%7B9%7D%20-%28-4%5Cfrac%7B1%7D%7B3%7D%29)
The double negatives becomes positive,
![=-2\frac{1}{9} +4\frac{1}{3}](https://tex.z-dn.net/?f=%3D-2%5Cfrac%7B1%7D%7B9%7D%20%2B4%5Cfrac%7B1%7D%7B3%7D)
We now add the whole number parts and the fractions separately
![=-2+4-\frac{1}{9} +\frac{1}{3}](https://tex.z-dn.net/?f=%3D-2%2B4-%5Cfrac%7B1%7D%7B9%7D%20%2B%5Cfrac%7B1%7D%7B3%7D)
This will give us,
![=2-\frac{1}{9} +\frac{1}{3}](https://tex.z-dn.net/?f=%3D2-%5Cfrac%7B1%7D%7B9%7D%20%2B%5Cfrac%7B1%7D%7B3%7D)
The least common denominator for the fractional parts is 9.
![=2+\frac{-1+3\times1}{9}](https://tex.z-dn.net/?f=%3D2%2B%5Cfrac%7B-1%2B3%5Ctimes1%7D%7B9%7D)
![=2+\frac{-1+3}{9}](https://tex.z-dn.net/?f=%3D2%2B%5Cfrac%7B-1%2B3%7D%7B9%7D)
![=2+\frac{2}{9}](https://tex.z-dn.net/?f=%3D2%2B%5Cfrac%7B2%7D%7B9%7D)
![=2\frac{2}{9}](https://tex.z-dn.net/?f=%3D2%5Cfrac%7B2%7D%7B9%7D)
Method 2
We want to simplify,
![-2\frac{1}{9} -(-4\frac{1}{3})](https://tex.z-dn.net/?f=-2%5Cfrac%7B1%7D%7B9%7D%20-%28-4%5Cfrac%7B1%7D%7B3%7D%29)
The double negatives becomes positive,
![=-2\frac{1}{9} +4\frac{1}{3}](https://tex.z-dn.net/?f=%3D-2%5Cfrac%7B1%7D%7B9%7D%20%2B4%5Cfrac%7B1%7D%7B3%7D)
We first convert the mixed numbers to improper fractions to obtain,
![=-\frac{2\times9+1}{9} +\frac{4\times3+1}{3}](https://tex.z-dn.net/?f=%3D-%5Cfrac%7B2%5Ctimes9%2B1%7D%7B9%7D%20%2B%5Cfrac%7B4%5Ctimes3%2B1%7D%7B3%7D)
We carry out the multiplication in the numerator to get,
![=-\frac{18+1}{9} +\frac{12+1}{3}](https://tex.z-dn.net/?f=%3D-%5Cfrac%7B18%2B1%7D%7B9%7D%20%2B%5Cfrac%7B12%2B1%7D%7B3%7D)
We add in the numerator to get,
![=-\frac{19}{9} +\frac{13}{3}](https://tex.z-dn.net/?f=%3D-%5Cfrac%7B19%7D%7B9%7D%20%2B%5Cfrac%7B13%7D%7B3%7D)
The least common denominator is
.
![=\frac{-19+13\times3}{9}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-19%2B13%5Ctimes3%7D%7B9%7D)
![=\frac{-19+39}{9}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-19%2B39%7D%7B9%7D)
![=\frac{20}{9}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B20%7D%7B9%7D)
We convert back to mixed numbers to get,
![=2\frac{2}{9}](https://tex.z-dn.net/?f=%3D2%5Cfrac%7B2%7D%7B9%7D)