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Studentka2010 [4]
3 years ago
12

Which of the following disjunctions is false ?

Mathematics
1 answer:
notsponge [240]3 years ago
7 0
A disjunction is false if both parts of the disjunction are false; otherwise, it is true
----------------------------------------------
Choice A

4-3=2 is false
6*3=9 is false

both parts are false, so overall the entire disjunction is false
----------------------------------------------
Choice B

5*6=30 is true
3+4=7 is true

Neither part is false, so overall the entire thing is true
----------------------------------------------
Choice C

8+3=11 is true
5*4=23 is false

While second piece is false, the overall disjunction is true. The first part (true) makes the whole thing true.
----------------------------------------------
Choice D

7+6=13 is true
5*2=10 is true

Neither part is false, so overall the entire thing is true
----------------------------------------------
----------------------------------------------
In summary, we have

A. False
B. True
C. True
D. True

Making choice A the only answer that is false. So choice A is the final answer

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The area of a rectangle is 99 square inches. What is the new area of the rectangle if the height were five times long and the ba
garri49 [273]

Answer:

330 square inches

Step-by-step explanation:

99 x 5 =495

495 x 2/3 =330

8 0
3 years ago
6 labour complete a work in 12 days. How many labours should added to complete the works in 8 days?​
mario62 [17]

Answer:

9 labours

Step-by-step explanation:

In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.

In indirect proportion, if one quantity increases, the other decreases and vice versa.

As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.

6 labours => 12 days

x labours =>  8 days

Since its an inverse proprotion, multiply 6 with 12, and x with 8.

8x = 6 × 12

x = \frac{6*12}{8}

∴ x = <u>9 labours</u>

7 0
2 years ago
A regular hexagon has an area of 750.8 cm. The side length is 17 cm. Find the apothem.
kompoz [17]

Since, a regular hexagon has an area of 750.8 square cm and The side length is 17 cm.

We have to find the apothem of the regular hexagon.

The formula for determining the apothem of regular hexagon is s \div {{2 \tan (\frac{180}{n})}, where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.

So, apothem = 17 \div {2 tan(\frac{180}{6})

= 17 \div {2 tan(30)

= 17 \div {1.15}

= 14.78 units

Therefore, the measure of apothem of the regular hexagon is 14.7 units.

Option B is the correct answer.

5 0
3 years ago
Write the first four terms of the sequence whose general term is given an=4n-2
mario62 [17]
So the first four terms of the sequence are 2, 6, 10, 14

5 0
4 years ago
Explain how you could use a number line to show that -4+3 and 3+(-4) have the same value.which property of addition states that
Anna007 [38]
For -4+3,
1. start with zero
2. move to left (-x axis) for 4 units (-4)
3. then move to right (+x axis) for 3 units (+3)

For 3+(-4)
1. Start with zero
2. Move the point to right side by 3 units (+3)
3. then move the point to the left by 4 units (-4)

For both you'll stop at -1.

8 0
3 years ago
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