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3 years ago

If A = {1, 2, 3} the number of non-empty proper subsets are

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

4 0

Answer:

The number of non empty proper subsets of a set with 3 elements is =23−2=8−2=6.

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Count the possible combinations of 3 letters chosen from A, B, C, D. The possible combinations of 3 letters are __.

anygoal [31]

Answer:

Step-by-step explanation:

We are given the letters:

We write the possible permutations of 3 letters from the given list:

Because order is not important in a combination we cross out the duplicate pairs:

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2 years ago

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What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

andre [41]

Answer:

The perimeter is 38.25 units

Step-by-step explanation:

The perimeter of the tra-pezoid is the distance around it.

The length of the bases can be found using the absolute value method.

|RS|=|20-14|=6 units.

|TQ|=|22-8|=14

Recall the distance formula;

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We use the distance to find the non parallel sides.

$|ST|=\sqrt{(20-22)^2+(16-8)^2} =8.25$ units.

and

$|QR|=\sqrt{(8-14)^2+(16-8)^2} =10$ units.

The perimeter of the tra-pezoid is

=14+10+6+8.25=38.25

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3 years ago

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I need to know the distance between points x and y

USPshnik [31]

Answer:

Step-by-step explanation:

Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 − x1)2 + (y2 − y1)2 {Distance formula} 2. Distance of a point P(x, y) from the origin is given by d(0,P) = √ x2 + y2.

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2 years ago

The U.S. Senate has 100 members. After a certain election, there were 4 more Democrats than Republicans, with no other parties r

kakasveta [241]

Let x = # of Republicans

x + 4 = # of Democrats

x + x + 4 = 100

x = 48

48 + 4 = 52

There are 52 Democrats and 48 Republicans.

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2 years ago

Lucia is wrapping packages that are in the shape of a triangular prism. The net of the prism is shown below: ( Help me answer th

solniwko [45]

Answer:

The total surface area of all 6 prisms is 6336 in^2.

Step-by-step explanation:

Let's find the surface area of ONE prism and then multiply that result by 6 to obtain the final answer.

One prism:

The area of the two 13 in by 26 in rectangular tabs is 2(13 in)(26 in), or 676 in^2 (subtotal);

The area of the two triangles of base 10 in and height 12 in is 2([1/2][10 in][12 in], or 120 in^2; and, finally,

The area of the 10 in by 26 in base is 260 in^2.

The total surface area of ONE prism is thus:

676 in^2 + 120 in^2 + 260 in^2, or 1056 in^2.

Now, because there are 6 of these prisms, multiply this last result by 6:

6(1056 in^2) = 6336 in^2.

The total surface area of all 6 prisms is 6336 in^2.

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3 years ago

If A = {1, 2, 3} the number of non-empty proper subsets are ​

If A = {1, 2, 3} the number of non-empty proper subsets are