The answer would come out to be 26
To solve
this exercise, we must calculate the Maximum Common Divisor (M.C.D.), which is the greatest common divisor of 62,108 and 180. We apply factor decomposition, and we
obtain:
162= (3^4)(2)
108= (2^2)(3^3)
180= (2^2)(3^2)(5)
We choose
the common numbers with their lowest exponent:
M.C.D.= (2)(3^2)
M.C.D.= 2x9
M.C.D.= 18
The greatest number of baskets that can be made is: 18 baskets
To know how
many apples, oranges and bananas are in each basket, we must divide the
greatest number of them that can be made between the total amount of apples,
oranges and bananas, as shown below:
162/18= 9 apples
108/18= 6 oranges
180/18= 10 bananas
So, there are 9 apples, 6 oranges and 10 bananas in each basket.
SinA /a = sin C / c
sin 60/9 = sin C / 10
(√3/2)/9 = sinC/ 10
√3/18 = sin C / 10
so c will be sin inverse ((10√3)/10)
For the difference to be positive, when both the minuend and the subtrahend are positive, the former must be greater than the latter.
Therefore
minuend = 2 ⇒ subtrahend = 1 ← 1 number
minuend = 3 ⇒ subtrahend = 1,2 ← 2 numbers
minuend = 4 ⇒ subtrahend = 1,2,3 ← 3 numbers
minuend = 5 ⇒ subtrahend = 1,2,3,4 ← 4 numbers
minuend = 6 ⇒ subtrahend = 1,2,3,4,5 ← 5 numbers
1+2+3+4+5=<u>15</u>
