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2 years ago

Venn diagrams: unions, intersections, and complements Attached is the photo references

Mathematics

2 answers:

Scorpion4ik [409]2 years ago

4 0

Answer:

a) {4, 8}

b) {1, 2, 3, 5, 6, 7}

c) {1, 7}

Step-by-step explanation:

(note that roster form refers to creating a set including all numbers which is part of the set, rather than only listing the numbers.)

B ∩ D refers to the intersection of B and D. This means the numbers which are both in the set B and the set D. Hence, {4, 8} is the answer.

D' is D prime, which means any number that is not in the set D. Hence, {1, 2, 3, 5, 6, 7} is the answer.

(c)

(B U D)’ refers to the prime of the union of B and D. Firstly, the union of B and D means the numbers which are either in B, in D or in both. This would essentially just be the numbers in B. Secondly, the prime of that would just be the numbers that are not in the set B. Hence, {1, 7} is the answer.

ohaa [14]2 years ago

3 0

Answer:

4, 8

Step-by-step explanation:

D iswholly part of B. so B intersect D is D

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Find the difference vertically 2⁴⁄₉- 1⅐

V125BC [204]

Answer:

$1 \frac{1}{7}$

Step-by-step explanation:

$2 \frac{4}{9} - 1 \frac{1}{7} \\ \frac{22}{9} - \frac{8}{7} \\ \frac{22 \times 7}{9 \times 7} - \frac{8 \times 9}{7 \times 9} \\ \frac{144 - 72}{63} \\ \frac{72}{63} \\ 1 \frac{9}{63} \\ 1 \frac{1}{7}$

hope this helps

3 0

2 years ago

Read 2 more answers

What is the area of this polygon? Enter your answer in the box. units?

Svetradugi [14.3K]

Answer:

45units^2

Step-by-step explanation:

Break the polygon into two shapes. A rectangle and a triangle.

The area formula for a rectangle is A=L•W or

Area = Length x Width. Counting the units for length and width is 9 x 2. Which would equal 18units.

Now for the triangle, the formula is A=1/2 (b•h)

The base is 9 and Height is 6.

9 • 6 = 54

Since a triangle is half the area of a rectangle you divide 54 by 2. Area for triangle is 27.

Now add the rectangle area and triangle area.

18+27=45

Area=45 units ^2

6 0

1 year ago

Mrs. Alvarez has a piece of ribbon that is 2.65 feet long. She cuts the ribbon into 5 equal parts. Which is the best estimate of

yulyashka [42]

Answer:

.53

Step-by-step explanation:

Well all you gotta do is basically just divide so it will be 2.65 divide by 5 which would equal the answer which is .53 for all sides

5 0

2 years ago

The perimeter of a triangle is 57 centimeters. The longest side is 3 centimeter(s) less than the sum of the other two sides. Tw

Setler79 [48]

Let's say x is longest side, y is shortest side and z is the other side. So we have some equations such that

$x+y+z=57$ (by the first sentence)

$x=(y+z) -3$ (by the second sentence)

$2y=x-15$ (by the third sentence)

By the second equation, we have $y+z=x+3$ and if we use it in the first equation, then $x+y+z=x+(x+3)=57$ . So $x=27$

Since $x=27$ , if we use it in the third equation the we have $2y=x-15=27-15=12$ then $y=6$

Therefore $z=24$

5 0

2 years ago

A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true?

Aleksandr-060686 [28]

Answer: A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Find:

You can see that vectors and This means that opposite sides are parallel and option B is false.

Find the lengths of all sides:

As you can see the lengths of opposite sides are equal, but all lengths are not equal. Therefore, the last option D is false.

Now check whether angles A and B are perpendicular:

The dot products are not equal to zero, then angles A and B are nor right. This means that option C is false and option A is correct (ABCD is a parallelogram with non-perpendicular adjacent sides

AKA your correct awnser choice is A :)✨

5 0

2 years ago