1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bonufazy [111]
3 years ago
12

Use the following set definitions to specify each set in roster notation. Except where noted, express elements of Cartesian prod

ucts as strings. A = {a} B = {b, c} C = {a, b, d}
(a) A × (B ∪ C) Solution {aa, ab, ac, ad}
(b) A × (B ∩ C)
(c) (A × B) ∪ (A × C)
(d) (A × B) ∩ (A × C)
Mathematics
1 answer:
MaRussiya [10]3 years ago
5 0

Answer:

Step-by-step explanation:

Given the set notations A = {a} B = {b, c} C = {a, b, d}

BUC = {a, b, c, d}

B∩C = {b}

a) A × (BUC) = {aa, ab, ac, ad}

b) A × (B ∩ C) = {ab}

c) (A × B) ∪ (A × C)

A × B = {ab, ac} and A × C = {aa, ab, ad}

(A × B) ∪ (A × C) = {aa, ab, ac, ad}

d) For (A × B) ∩ (A × C)

(A × B) ∩ (A × C) = {ab}

Note that the union (U) of two sets is the combination of all the elements in both sets while the intersection (∩)of two sets is the common elements that are found in both sets.

The Cartesian product of two sets is derived by mapping each of the element in the first set with all the element in the other set. It is denoted by the multiplication sign.

You might be interested in
Please help me (It's for a really important grade)
Sholpan [36]

Answer:

4/5

Step-by-step explanation:

Sin = Opposite / Hypotenuse

Note that hypotenuse = longest side

We want to find sinФ

The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10

So sinФ would equal 8/10 which can be simplified to 4/5

7 0
3 years ago
#22-11: Determine the difference in area between circle A and circle B. Use 3.14 for pi.
topjm [15]

Answer:

7.065

Step-by-step explanation:

There are two ways to do this:

(Note: area = pi * r^2)

Method 1:

Diameter of A = 4, so radius = 4/2 = 2

Area of A = 3.14 * 2^2 = 12.56

Diameter of B = 5, so radius = 5/2 = 2.5

Area of B = 3.14 * 2.5^2 = 19.625

Difference in area = 19.625 - 12.56 = 7.065

Method 2:

First find out how much larger the diameter of B is than A, so 5/4 = 1.25.

What this means is if you take the diameter of A and multiply it by 1.25, you get the diameter of B.

When dealing with area, the area of B will be 1.25^2 times bigger than A.

Area of A = 3.14 * 2^2 = 12.56

So area B = 12.56 * 1.25^2 = 19.625

Difference = 19.625 - 12.56 = 7.065

5 0
3 years ago
3x+2x-13=47 solve for x <br><br> Please show the work
MakcuM [25]
3x+2x-13=47
5x-13=47
5x=60
x=12
4 0
3 years ago
A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone i
JulsSmile [24]
R = radius of the cylinder
V = (1/3)Pi c^2 h for a cone.
and c = r/2 and h = u
so Volumn of the cone is (1/3)Pi(1/4)(r^2)r = (1/12)Pi r^3
5 0
3 years ago
Find the value of x. Then tell whether the side lengths form a Pythagorean triple.
pshichka [43]

Answer: The answer is 10 for x if it is a Pythagorean triple.

6 0
4 years ago
Read 2 more answers
Other questions:
  • Rearrange the variables to write the equation, LaTeX: V=\frac{8T}{P}
    7·1 answer
  • 80+ Points...
    6·2 answers
  • Can someone please help me??
    8·1 answer
  • Can Someone help plz
    12·1 answer
  • Kimber is thinking about buying a four-wheeler that is priced at $6,700. However, he
    12·1 answer
  • PLZ HELP ASAP I WILL MARK BRANLIEST!!!
    5·1 answer
  • How many points have a modulus of 4?
    11·1 answer
  • Some angles are shown. Complete each of the 2 activities for this Task. Activity 1 of 2 The measure of angle NOP is 140°. Which
    13·1 answer
  • Х<br> 9) -5 +<br> -6<br> -16<br> please help!
    5·2 answers
  • The table below displays the enrollment of freshmen taking Algebra 1. Geometry, or Algebra 2.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!