3/12 ; 1/6 ; 1/3
Adam must first get the least common multiple of each denominator.
12 : 12, 24, 36
6 : 6, 12, 18
3 : 3, 6, 9, 12
12 is the least common denominator.
We, then, multiply each denominator by a number that will produce 12.
12 x 1 = 12
6 x 2 = 12
3 x 4 = 12
Each number multiplied to the denominator must be the number used to multiply each numerator.
3/12 * 1/1 = 3/12
1/6 * 2/2 = 2/12
1/3 * 4/4 = 4/12
Since they now share a common denominator, the numerator will become the basis of the fraction's value. The greater the numerator, the greater the fraction's value.
Fractions in order from least to greatest = 2/12 ; 3/12 ; 4/12
Substitute each fraction with its original fraction:
2/12 ⇒ 1/6 : least
3/12 ⇒ 3/12 : middle
4/12 ⇒ 1/3 : greatest
Answer:
Definitions:
The third quartile, denoted by Q3 , is the median of the upper half of the data set. This means that about 75% of the numbers in the data set lie below Q3 and about 25% lie above Q3;
The upper half of a data set is the set of all values that are to the right of the median value when the data has been put into increasing order;
First, we verify data in increasing order:
21, 24, 25, 28, 29, 35, 37, 38, 42 ( okay);
The median is 29;
Therefore, the upper half of the data is {35, 37, 39, 42};
Q3 = ( 37 + 39 ) / 2 = 76 / 2 = 38;
Step-by-step explanation:
For this case we have that by definition, if we draw the diagonal of a square two rectangular triangles are formed. If the diagonal measures "x", then the Pythagorean theorem is fulfilled:
Where:
l: It's the side of the square.
We know that the area of a square is given by:
So, the area is:
Answer:
AB is proportional to XY since they are similar triangles making it 25:10 or 5:2
so then AC:XZ would be 5x:2x and 5x:6 so then its 15:6 since x is 3 basically set up proportions and so value of the big triangle to the small triangle would be at rails os 5:2
It is irrational because you have and unsolved variable
