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agasfer [191]
3 years ago
8

HELP WITH 20 PLEASE!

Mathematics
1 answer:
Marina86 [1]3 years ago
5 0
Area =base / height is the other way you can figure it out
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Determine which, if any, of the three statements are equivalent.
patriot [66]

Answer:

Statement (b) is equivalent to statement (c), but neither is equivalent to statement (a).

Step-by-step explanation:

Let F denote that "Fido is our fish's name" and let R denote that "Rex is our dog's name". The statements listed in this question would then become:

  • (a) F \implies R;
    F implies R.
  • (b) \lnot ((\lnot F) \land (\lnot R));
    not ((not F) or (not R)).
  • (c) F \lor R;
    F or R.

Apply de Morgan's Law \lnot (P \land Q) \iff (\lnot P) \lor (\lnot Q) to rewrite statement (b). Let P = (\lnot F) and Q = (\lnot R). By de Morgan's Law:

\begin{aligned} & \lnot ((\lnot F) \land (\lnot R)) \\ \iff \; & \lnot (P \land Q)\\ \iff \; & (\lnot P) \lor (\lnot Q) && (\text{by de Morgan's Law}) \\ \iff \; & (\lnot (\lnot F)) \lor (\lnot (\lnot R)) \\ \iff \; & F \lor R\end{aligned}.

In other words, statement (b) \lnot ((\lnot F) \land (\lnot R)) is equivalent to statement (c) F \lor R.

Statement (a) F \implies R isn't equivalent to F \lor R.

For example, when F = \texttt{True} and R = \texttt{False}, F \implies R would be false since \texttt{True} does not imply \texttt{False}. However, for the same F and R, F \lor R would be true since F = \texttt{True}\!.

5 0
2 years ago
Help! I don't get this, and if it is easy to you, this isn't my paper, it is my friends! <3
mihalych1998 [28]

(1 + i)/(1 + 2i)

To simplify this, we need to multiply both sides by the conjugate.

(1 + i)(1 - 2i)

1 - 2i - i - 3i^2

Combine like terms.

3i^2 - 3i + 1

i^2 = -1

-3i - 2 is the simplified numerator.

(1 + 2i)(1 - 2i)

1 - 2i + 2i - 4i^2

1 - 4i^2

i^2 = -2

1 + 4

5


<h3><u>The simplified expression is ((-3i)/5) + ((-2)/5)</u></h3>
7 0
3 years ago
give an example of a repeating decimal where two digits repeat. explain why your number is a rational number
Mama L [17]
1.666666, any decimal or number that is repeating can be written in a/b format and b not equal zero is rational. Repeating decimals can be considered rational because they can be represented as a ratio of two integers. 
5 0
3 years ago
Why is 2x 3/4 less than 2?
Kipish [7]

Answer & Step-by-step explanation:

It is less because 2 times 3/4 is the same as 2/1 times 3/4 which is 6/4 then simplify it and you get 3/2 which then is 1 1/2.

That is why 2 times 3/4 is less than 2.

Hope that helps ;)

7 0
3 years ago
Draw and identify the coordinates of the image of the figure after a 180° rotation
sladkih [1.3K]

Answer:

Step-by-step explanation:

Q

5 0
3 years ago
Read 2 more answers
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