Answer: The given logical equivalence is proved below.
Step-by-step explanation: We are given to use truth tables to show the following logical equivalence :
P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P)
We know that
two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.
The truth table is as follows :
P Q ∼P ∼Q P⇔ Q ∼P ∨ Q ∼Q ∨ P (∼P ∨ Q)∧(∼Q ∨ P)
T T F F T T T T
T F F T F F T F
F T T F F T F F
F F T T T T T T
Since the corresponding truth vales for P ⇔ Q and (∼P ∨ Q)∧(∼Q ∨ P) are same, so the given propositions are logically equivalent.
Thus, P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P).
Might be late but since the area is a squared unit (m^2), it's 2-dimensional perimeter is just a plain unit(m), it's 1-dimensional the 2-dimensional ratio is 112/63 Then, the 1-dimensional ratio is sqrt(112/63), which is 4/3. Plus i just took the quiz and got that question right :)
It will be 12 because there are 12 inches in one foot
hope it helped you
180 degrees
12 to 6 6 is directly below the 12 so rotating it clockwise to the right would be exactly 180 degrees (a straight angle)