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Answer:
The number of different lab groups possible is 84.
Step-by-step explanation:
<u>Given</u>:
A class consists of 5 engineers and 4 non-engineers.
A lab groups of 3 are to be formed of these 9 students.
The problem can be solved using combinations.
Combinations is the number of ways to select <em>k</em> items from a group of <em>n</em> items without replacement. The order of the arrangement does not matter in combinations.
The combination of <em>k</em> items from <em>n</em> items is:
Compute the number of different lab groups possible as follows:
The number of ways of selecting 3 students from 9 is =
Thus, the number of different lab groups possible is 84.
Given :
Length of one of the equal sides of an isosceles triangle = 3x+2
Then, length of the other equal side will also be = 3x+2
Length of the unequal side of this isosceles triangle = 14
Formula for finding the perimeter of an isosceles triangle :
A formula for finding the perimeter of this isosceles triangle :
Bringing all like terms together we get :
Thus, the formula = 6x+18
Therefore, a formula to find the perimeter of this isosceles triangle = <u>6x+18</u>