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Anna35 [415]
2 years ago
13

Construct the truth table for:

Mathematics
1 answer:
nordsb [41]2 years ago
8 0

You should know that

p ⇒ q ≡ ¬p ∨ q

so that

p ⇒ (q ∧ r) ≡ ¬p ∨ (q ∧ r)

Then making the truth table is simple:

\begin{array}{cccccc} p & q & r & \neg p & q \land r & p \implies (q\land r) \\ T & T & T & F & T & T \\ T & T & F & F & F & F \\ T & F & T & F & F & F \\ T & F & F & F & F & F \\ F & T & T & T &  T & T \\ F & T & F & T & F &  T \\ F & F & T & T & F & T \\ F & F & F & T & F & T \end{array}

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How can I find the value of X?​
BARSIC [14]

Answer:

D

Step-by-step explanation:

Remark

The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.

The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.

So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.

Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.

Proportion

AB / AC = AE/AD

Givens

AB = 10

AC = 18

AE = 8

AD = x + 8

Solution

Substitute the Givens into the Proportion.

10/18 = 8/(x + 8)                      Cross multiply

10(x + 8) = 8 * 18                     Simplify both sides

10x + 80 = 144                        Subtract 80 from both sides

10x + 80 - 80 = 144 - 80

10x = 64                                   Divide by 10

10x/10 = 64/10

Answer: x = 6.4

5 0
3 years ago
When checking you answer to an addition or subraction problem, use the _______ operation? OPPOSITE
hodyreva [135]

It is the opposite. There is nothing called same operation...

3 0
3 years ago
Rectangular prism A measures 6 inches by 4 inches by 5 inches. Rectangular prism B's dimensions are twice those of prism A. Find
harina [27]
The volume of <span>Rectangular prism A is 120 inches and the volume of rectangular prism is 960 inches. the volume of prism b is 8 times the size of prism A</span>
3 0
3 years ago
Read 2 more answers
I will mark brainliest to whoever helps! :D
Arte-miy333 [17]

Answer:

-7/2y

Step-by-step explanation:

cancel out the Z's than youre left with -7/2y :}

8 0
3 years ago
PLZ HELP I BEEN SUCK FOE SO LONG PLZ RIGHT ANSWER I WILL CRY
mel-nik [20]

Answer:

40 students

Step-by-step explanation:

In this problem, one is given the ratio ( 8 : 3 ), since a ratio is another way of writing a fraction one can rewrite it as; \frac{8}{3} (8) represent the number of students who want to learn about magnets, and (3) represents the number of students who want to learn about magic tricks.

In the problem, it is also given that 25 more students wanted to learn about magnets compared to magic tricks. If one uses the parameter (x) to represent the factor by which the fraction \frac{8}{3} is reduced, then one can get the equation;

8x = 3x + 25

Use inverse operations to solve,

8x = 3x + 25

-3x

5x = 25

/5

x = 5

Substitute back in to find out how many students want to learn about magnets,

8x

= 8(5)

= 40

3 0
3 years ago
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