How many ways can a coach assign eleven different players to one of the four positions, if there must be exactly one goalkeeper,
1 answer:
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Answer:
If both sides are integers, one side will be 4 feet and the other will be 6 feet. The other solution is the symmetrical solution (4 feet instead of 6 feet, and 6 feet instead of 4 feet).
Step-by-step explanation:
We have a rectangular blanket, that has a diagonal that measures h=7.21 feet.
The two sides of the rectangle a and b can be related to the diagonal h by the Pithagorean theorem:
Then, we can express one side in function of the other as:
Then, if we define b, we get the value of a that satisfies the equation.
A graph of values of a and b is attached.
If both side a and b are integers, we can see in the graph that are only two solutions: (b=4, a=6) and (a=4, b=6).
First, create an equation with the criteria given.
If we let x be your number,
(
is twice the product of 3 and x, and if it exceeds 
by 10, then we add 10 to to make the two sides of the equation equal.)
Now, solve for
.
If we let x be your number,
(
Now, solve for