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umka21 [38]
3 years ago
5

A carpenter makes legs for 3-legged stools and 4-legged tables. He makes a total of 57 legs. He could have made legs for how man

y 3-legged stools?
Mathematics
2 answers:
nikdorinn [45]3 years ago
8 0
He could have made 19 stools. 57/3 =19
Effectus [21]3 years ago
6 0
He could have made legs for 19 three legged stools.
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Consider the sets A = {4,6,8} and B = {4,5,6} Find Ax B (b) Find the power set AB)​
katrin [286]

a) A × B is the Cartesian product of A and B, given by the set

A × B = {(a, b) | a ∈ A and b ∈ B}

Then for A = {4, 6, 8} and {4, 5, 6}, we have the product

A × B = {(4, 4), (4, 5), (4, 6), (6, 4), (6, 5), (6, 6), (8, 4), (8, 5), (8, 6)}

b) The power set of a set X is the set containing all subsets of X. I'm not sure what you're asking to find the power set of, though. Hopefully it's not of A × B, since that would contain 2⁹ = 512 elements...

Instead I'll assume you mean a simpler set, such as A ∩ B. The intersection of A and B is

A ∩ B = {4, 6, 8} ∩ {4, 5, 6} = {4, 6}

and has only 2 elements, so its power set has 2² = 4 elements (much more manageable!) and is the set

Pow(A ∩ B) = {{}, {4}, {6}, {4, 6}}

7 0
2 years ago
Find the length of AB, given that DB is a median of the triangle and AC = 44.
pychu [463]

The length of the AB is 22 units if the length of AC is 44 units and DB is the median of the triangle.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

The figure is missing.

The figure is attached to the picture, please refer to the picture.

We have a triangle shown in the picture.

As we know, the median bisects the side length into two equal parts.

AB = AC/2

AC = 44 units

AB = 44/2

AB = 22 units

Thus, the length of the AB is 22 units if the length of AC is 44 units and DB is the median of the triangle.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

6 0
2 years ago
Graph the line x-y= -1 <br>​
hammer [34]

Answer:

y = x + 1

Step-by-step explanation:

x - y = -1

-y = -x - 1

y = (-x - 1) ÷ -1

y = x + 1

8 0
3 years ago
Rewrite the expression from part B using the additive inverse that you identified in part C.
Naya [18.7K]

Answer:

12.3 – (-9.6) = 12.3 + 9.6

Step-by-step explanation:

4 0
3 years ago
What is the common difference or common ratio of the sequence 2,5,8,11...? A. 1 B. 3 C. 5 D. 7
RUDIKE [14]

Answer:

B. 3

Step-by-step explanation:

A common difference in an arithmetic sequence is the value the terms in the sequence vary from one to another.You can find one term to another by adding or subtracting the common difference.

In this case, the terms are 2,5,8,11,.....

From the first term to the second term, the difference is, 5-2=3

From the second term to the third term, the difference is, 8-5=3

From the third term to the fourth term the difference is=11-8=3

Hence the common difference in this arithmetic sequence is 3

5 0
3 years ago
Read 2 more answers
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