What is the perimeter, in units, of Rectangle WXYZ?
1 answer:
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Answer:
The statement is a tautology.
Step-by-step explanation:
We have the following statement
A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
The simple statements from the statement given are:
,
,
,
, and
with these you can construct the following truth table.
A tautology is a formula that is always true, it is true for every assignment of truth values to its simple components.
The last column contains only true values. Therefore, the statement is a tautology.
Answer:
Step-by-step explanation
The given point tells us that the terminal side of
is in the fourth quadrant.
From the diagram in the attachment,
We can use the Pythagoras Theorem to find the length of the hypotenuse of the right triangle.
Let the hypotenuse be . Then,
Now we use the sine ratio;
.
But since the terminal side of is in the fourth quadrant, the sine ratio must be negative.
This implies that;
.
We rationalize the denominator to get;
.
