Answer:
446mm
Step-by-step explanation:
If we box off parts of the area, it makes it easier to solve. I personally broke it into tiny bits:
Upper left box: 16mm
Bigger box (excluding little box): 90mm
Big rectangle: 340mm
Now, add them all together.
Equals 446mm
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).
94 seats
There are 2 ways to do this one:
1. 18 x 3 = 54
54 + 40 = 94
2. 40 + 3 + 3 + 3.... and so on.
Let me know if this was helpful!
Answer:
4. y = 1/2x + 3/2
Step-by-step explanation:
First, we need to change the line that's parallel into slope-intercept form.
-2x + 4y = 8
4y = 2x + 8
y = 1/2x + 2
If it's parallel, then it remains the same. So our slope is 1/2.
To find the y-intercept, you need to plug the coordinates into the equation.
y = 1/2x + b
-1 = 1/2(-5) + b
-1 = -5/2 + b
3/2 = b
y = 1/2x + 3/2
