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tresset_1 [31]
3 years ago
14

Suppose Set A contains 19 elements and Set B contains 69 elements. If the total number elements

Mathematics
1 answer:
balu736 [363]3 years ago
6 0

B u A = 48

B = 45

The part of set B not included in A is B - A∩B  = 45 - 7 = 38

Since B u A = 48,  A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).

------

Alternatively, the inclusion-exclusion principle may be used:   A  +  B  - (A ∩ B) = A u B  

  A + 45 - 7 = 48

  A  = 48 - 45 + 7  

   A = 10

NOTE that I'm using A and B  to indicate the number of elements in each set, respectively.

More formally, one would write |A|  and |B| to indicate the cardinality (number of elements) of the set.

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Ilya [14]

Answer:

greater than 1

Step-by-step explanation:

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3 years ago
Find the measure of b.
Alika [10]

Answer:

b = 55°

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended by the same arc, then

a = 0.5 × 110° = 55°

Angles on the circumference subtended by the same arc are congruent, so

b = a = 55°

5 0
3 years ago
Which property of exponents must you apply to the expression p^1/2 to derive p as the result?
Elodia [21]

We apply the following property:

(x^n)^m = x^(n • m)

Let m = 2

(P^1/2)^2 = P^(1/2 • 2) = P

5 0
3 years ago
What is the difference in the area of a circle with diameter 4m and a circle with diameter 6m?
nordsb [41]

Answer:

The difference between the area of the two circles is 15.7m

Step-by-step explanation:

I swear these be helping me with the CIEs coming up in May xD

Okay so the formula for a circle is \pi r^2

The diameter is the double of the radius so

Cirlce A has a diameter of 4m so a radius of 2m

\pi 2^{2}

\pi4

12.57m

Circle B has a diameter of 6m so a radius of 3m

\pi 3^2

\pi 9

28.27m

To find the difference subtract 12.57 from 28.27

28.27-12.57\\=15.7

The difference between the area of the two circles is 15.7m

Hope this helps, if you still need help just comment :)

5 0
3 years ago
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted: rectangle with a leng
Vesnalui [34]

The area of the rectangular patio to be painted is: B. A = (x + 20)(x + 10) - 12.

<h3>What is a Rectangle?</h3>

A rectangle, by definition, is a quadrilateral with two pairs of opposite that have the equal lengths. All four angles of a rectangle are right angles (90 degrees).

<h3>What is the Area of a Rectangle?</h3>

The area of a rectangle = (length of rectangle)(width of rectangle).

Given the following parameters for the patio and the bench:

  • Length of rectangular patio = x + 20
  • Width of rectangular patio = x + 10
  • Length of rectangular bench = 6
  • Width of rectangular bench = 2

Area to be painted = area of rectangular patio - area of rectangular bench

Area of rectangular patio = (x + 20)(x + 10)

Area of rectangular bench = (6)(2) = 12

Area to be painted = (x + 20)(x + 10) - 12

The answer is: B. A = (x + 20)(x + 10) - 12.

Learn more about the area of rectangle on:

brainly.com/question/25292087

#SPJ1

4 0
2 years ago
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