Answer:
The statement
is a tautology.
![p\rightarrow (q\rightarrow p)\equiv \lnot p\lor (q\rightarrow p) \equiv \lnot p\lor (\lnot q\lor p) \equiv (p\lor \lnot p) \lor \lnot q \equiv T \lor \lnot q \equiv T](https://tex.z-dn.net/?f=p%5Crightarrow%20%28q%5Crightarrow%20p%29%5Cequiv%20%5Clnot%20p%5Clor%20%28q%5Crightarrow%20p%29%20%5Cequiv%20%5Clnot%20p%5Clor%20%28%5Clnot%20q%5Clor%20p%29%20%5Cequiv%20%28p%5Clor%20%5Clnot%20p%29%20%5Clor%20%5Clnot%20q%20%5Cequiv%20T%20%5Clor%20%5Clnot%20q%20%5Cequiv%20T)
Step-by-step explanation:
We have the following statement:
![p\rightarrow (q\rightarrow p)](https://tex.z-dn.net/?f=p%5Crightarrow%20%28q%5Crightarrow%20p%29)
To reduce the statement to a tautology we need to use the table of logical equivalences as follows:
![p\rightarrow (q\rightarrow p)\equiv](https://tex.z-dn.net/?f=p%5Crightarrow%20%28q%5Crightarrow%20p%29%5Cequiv)
by the the logical equivalence involving conditional statement.
by the the logical equivalence involving conditional statement.
by the Associative law.
by the Negation law.
by the Domination law.
Answer:
334
Step-by-step explanation:
Answer:
<u>10 ft.</u>
Step-by-step explanation:
<u>Scale</u> ⇒ 1 in. : 2 ft.
- 1 in. : 2ft. = 5 in. : x ft. [x is the width of the real statue]
- 1/2 = 5/x
- x = 5 × 2
- x = <u>10 ft</u>.
Answer: 720
Step-by-step explanation:
480 : 16 marked
480-16 = 464
They saw 464 unmarked squirrels and 16 marked squirrels
464/16 = 29
They saw 29 unmarked squirrels for every 1 makes squirrel
29 * 24 = 696
They would have seen 696 unmarked squirrels for the 24 marked squirrels.
696 + 24 = 720
Answer:
4
Step-by-step explanation:
h=8
p=4√3
b=?
By using Pythagoras theorem,
b=√h²-p²
=√8²-(4√3)²
=√64-48
=√16
=4