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2 years ago

Which of the following are operations in the algebra of sets?

Mathematics

1 answer:

postnew [5]2 years ago

7 0

Answer:

Union and Intersection

Step-by-step explanation:

We know that the algebra of sets define the properties and laws of the sets.

The basic operations of sets are,

Union, Intersection, Complement of a set and Equality of sets.

Since, the operations addition, subtraction, multiplication and division are the basic arithmetic operations of numbers.

i.e. they are not in the algebra of sets.

So, we get that out of the given options, the operations in algebra of sets are Union and Intersection.

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An item is regularly priced at 29. Joe bought it at a discount of 45% off the regular price.

Luden [163]

Answer:

$13.05

Step-by-step explanation:

The prize will be $13.05 after the discount.

29x45%=13.05

29x0.45=13.05

6 0

2 years ago

ZABD and ZCBD are adjacent. Given that m_ABC is 68º. MZABD= (2x + 5)º, and mZCBD= (3x+8)º, find mZCBD.

konstantin123 [22]

Answer:

I think that the required options are wrong.

Answer is given below with explanations.

mZCBD = 41 degrees

Step-by-step explanation:

$from \: the \: \: above \: mentioned \: diagram \\ we \: can \: say \: that \: \\( angle \: ABD) + (angle \: DBC) = 68 \\ given \: that \: \: angle \: ABD = 2x + 5 \\ and \: \: angle \: CBD = 3x + 8 \\ on \: substituting \: the \: values \\ (2x + 5) + (3x + 8) = 68 \\ 5x + 13 = 68 \\ 5x = 68 - 13 \\ 5x = 55 \\ x = \frac{55}{5} \\ x = 11 \\ angle \: CBD = 3x + 8 \\ \: \: = 3(11) + 8 \\ \: \: = 33 + 8 \\ \: \: angle \: CBD= 41$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

4 0

3 years ago

The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. Find the dimensions of the rectangle. 3 cm, 9

jenyasd209 [6]

Length (L): w + 3

width (w): w

Perimeter (P) = 2L + 2w

24 = 2(w + 3) + 2(w)

24 = 2w + 6 + 2w

24 = 4w + 6

18 = 4w

18/4 = w

9/2 = w

4.5 = w

Length (L): w + 3 = 4.5 + 3 = 7.5

Answer: width = 4.5 cm, length = 7.5 cm

6 0

2 years ago

The difference of the square of a number and 12 is equal to 4 times that number. Find

MrMuchimi

Answer: -2

Step-by-step explanation: Let the unknown number be " a"

From the statement,

a^2 - 12 = 4a ..... this is a quadratic equation

i.e a^2 - 4a - 12 = 0

factorizing the quadratic expression

( a + 2 ) ( a - 6 ) = 0

i.e a = -2 or 6

so, the negative solution is -2

8 0

3 years ago

a scale drawing of a rectangular playground has a length of 20 inches and a width of 10 inches as shown below. the scale is 1 in

Hatshy [7]

Answer:

3200ft^2

Step-by-step explanation:

1 inch = 4ft

so 20 inches = 80ft

and 10 inches = 40ft

Area = 80ft*40ft

Area = 3200ft^2

7 0

3 years ago