Answer: 
Step-by-step explanation:
Properties of logarithm:
Consider,
![2\log x-\log y+2 \log z\\\\ =\log x^2-\log y+\log z^2\ \ \ \ \text{[By (i)]}\\\\= \log x^2+\log z^2-\log y\\\\=\log(x^2z^2)-\log y\ \ \ \ [\text{By } (ii) ]\\\\=\log(\dfrac{x^2z^2}{y}) \ \ \ \ [\text{By (iii)}]](https://tex.z-dn.net/?f=2%5Clog%20x-%5Clog%20y%2B2%20%5Clog%20z%5C%5C%5C%5C%20%3D%5Clog%20x%5E2-%5Clog%20y%2B%5Clog%20z%5E2%5C%20%5C%20%5C%20%5C%20%5Ctext%7B%5BBy%20%28i%29%5D%7D%5C%5C%5C%5C%3D%20%5Clog%20x%5E2%2B%5Clog%20z%5E2-%5Clog%20y%5C%5C%5C%5C%3D%5Clog%28x%5E2z%5E2%29-%5Clog%20y%5C%20%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20%7D%20%28ii%29%20%5D%5C%5C%5C%5C%3D%5Clog%28%5Cdfrac%7Bx%5E2z%5E2%7D%7By%7D%29%20%20%20%20%5C%20%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20%28iii%29%7D%5D)
Answer:
2/5
Step-by-step explanation:
Answer: Choice 2) A, B, C
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Explanation:
Use a calculator to find that,
- 946/32 = 29.5625
- 1157/11 = 105.1818 approximately
- 3524/44 = 80.0909 approximately
- 37392/82 = 456
The first three results have a decimal portion as the answer. So there is a remainder here. The remainder is the leftover bit that couldn't make another full value. Only choice D results in a whole number that isn't a decimal value, so this does not have a remainder.
As a smaller example, let's say we had 20 cookies and 3 people. If we want to divide the cookies evenly, then each person gets 20/3 = 6 full cookies and there would be 2 cookies left over (6*3 = 18 are eaten so 20-18 = 2 is left over). Notice that 20/3 = 6.67 approximately. The non-whole number decimal value indicates we have a remainder. If we had 21 cookies, then each person gets 21/3 = 7 full cookies with nothing left over, so there's no remainder here.
Answer:
1/3 * 2/4 = 1/3 * 1/2 = (1*1)/(3*2) = 1/6
It’s 56 degrees. All the outside values equal 360 so you make them equal to that to solve for x and you get x=18. Then you solve for C and get 124. Then subtract 180-124 for DCE and you get 56
