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Alona [7]
3 years ago
13

Consider the following argument: If pigs have wings, then pigs can fly. If pigs are lighter than air, then pigs can fly. Pigs ha

ve wings or pigs are lighter than air. If pigs have wings or pigs can fly, then pigs don’t have wings. Therefore, donkeys can fly.
(a) Write this argument in symbolic form, using the variables listed below.

Pigs can fly p

Pigs are lighter than air q

Pigs have wings r

Donkeys can fly s

(b) Determine whether the argument is valid or not. Show your working.
Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0

Answer:

a ) If r ⇒ p

    If q ⇒ p

    r ∪ q

    If r∪p ⇒ ¬ r

   ∴ s

b) The argument is invalid

Step-by-step explanation:

The argument is invalid because we do not with precision if b), because we do not have enough information about it, and this is because the previous sentences does not mention information about the donkey. We cannot infer something when we do not have enough information.

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Which statement is TRUE? A) The area of the blue circle is greater than the sum of the areas of the green square and black circl
statuscvo [17]

Answer:

C. The area of the blue circle is equal to the sum of areas of green square and black circle.

Step-by-step explanation:

The area of a circle is the circumference of the circle measured with its diameter. In the given scenario the area of the blue circle is greater than the area of black circle. This is because of the difference in diameter of the two circles. The area of green square plus the area of black circle equals the blue circle.

6 0
3 years ago
Use rhombus TQRS below for questions<br> what is the value of x?<br> what is the value of y?
sladkih [1.3K]

The value of x is 1.

The value of y is 4.

Solution:

Given TQRS is a rhombus.

<u>Property of rhombus: </u>

Diagonals bisect each other.

In diagonal TR

⇒ 3x + 2 = y + 1  

⇒ 3x – y = –1 – – – – (1)

In diagonal QS

⇒ x + 3 = y

⇒ x – y = –3 – – – – (2)

Solve (1) and (2) by subtracting

⇒ 3x – y – (x – y) = –1 – (–3)

⇒ 3x – y – x + y = –1 + 3

⇒ 2x = 2

⇒ x = 1

Substitute x = 1 in equation (2), we get

⇒ 1 – y = –3

⇒ –y = –3 – 1

⇒ –y = –4

⇒ y = 4

The value of x is 1.

The value of y is 4.

6 0
3 years ago
Captain Sparrow and his pirate crew dug up several gold coins. They are dividing the coins amongst themselves so that each perso
Dahasolnce [82]

Answer: 150 coins

Step-by-step explanation: let the number of captain Sparrow and the crew = c

The number of gold = g

This mean each person will get g/c

If there were four fewer pirates, then each person would get 10 more coins means

g/(c - 4) = g/ c+ 10

cg = (c-4)(g+10c) ....... (1)

However, if there were 50 fewer coins, then each person would get 5 fewer coins.

(g - 50)/c = g/c - 5

g - 50 = g - 5c

5c = 50

c = 10

Substitute c in equation 1

cg = (c-4)(g+10c) ....... (1)

10g = (10 - 4)(g + 10×10)

10g = 6× (g + 100)

10g = 6g + 600

4g = 600

g = 150 gold coin.

Therefore they dig up 150 gold coin

5 0
3 years ago
An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a
belka [17]
Answer: third option 268.8

Explanation:

For this kind of proble it is very important that you attach the figure because it contains important information to understand the question.

I have attached the figure for better understanding.

1) The top portion (and the bottom is congruent but rotated 180°) of the hourglass is a figure equivalent to a cylinder on top and a cone on bottom.

So the total volume contained in the top portion is the volume of a cylinder + the volume of a cone.

This is how you calculate the volume of the top portion:

1) The height of the cylinder is 54 mm - 18 mm = 36 mm

2) The formula for the volume of a cylinder is V = π (radius)^2 * height

radius = 8 mm
height = 36 mm

=> V = π(8mm)^2 * 36 mm = 2304π (mm)^3

3) The formula for the volume of a cone is V = (1/3)π(radius)^2 * height

radius = 8 mm
height = 18 mm

V = (1/3)π(8mm)^2 * 18 mm = 384π (mm)^3

4) The total volume of the top portion is volumen of the cylindrical part + voume of the cone:

Total voluem = 2304π (mm)^3 + 384π (mm)^3 = 2688π (mm)^3

5) To find the number of seconds <span>it take until all of the sand has dripped to the bottom of the hourglass you have to divide the total volumen of sand by the rate:

time in seconds = total volume of sand / rate of dripping

time in seconds = [2688 π (mm)^3 ] / [10π (mm)^3 / s] = 268.8 s

That is the answer: 268.8 s
</span>

4 0
3 years ago
Read 2 more answers
Find the median of the following set of data:
Troyanec [42]

Answer:

b

Step-by-step explanation:

The median is the middle value of the data set in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.

Arrange the data in ascending order

48, 52, 54, 57, 57, 57, 61, 61, 65

                          ↑

The median of the data set is 57 → b

3 0
3 years ago
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