Hepl me what is the answer to this math question
1 answer:
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Answer: Team A will choose one of 36 possible lineups.
Step-by-step explanation: Given that Team A and Team B are playing the game of tug-of-war.
Team A has 3 males and 3 females that decides to line up male, female, male, female, male, female.
We are to find the number of possible lineups that Team A can make.
According to the given information,
number of options for the first position = 3,
number of options for the second position = 3,
number of options for the third position = 2,
number of options for the fourth position = 2,
number of options for the fifth position = 1
and
number of options for the sixth position = 1.
Therefore, the number of possible lineups by Team A is
Thus, Team A will choose one of 36 possible lineups.
Answer: Option C - Construction Y because point E is the circumcentre of triangle LMN.
Point E is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
Step-by-step explanation:
Before solving an algebra problem, it sometimes helps to get a geometric picture of what's happening. Geometry says that three points determine a circle - in other words, given three points that are not
all on the same line, there is exactly one circle which passes through all 3. Finding the point equidistant from the 3 points is the same thing as finding the center of the circle that passes through all of them (since all points on a circle are equidistant from the center).
Our points are L, M and N. Draw the lines LM, LN and MN to form a triangle. Now construct the perpendicular bisectors of any two of the lines, and their intersection, point E, will be the center of this circle.
As shown in the Construction Y because E is the circumcentre of triangle LMN.
This is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
QED!
