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jeka57 [31]
3 years ago
5

How many 44-element subsets containing the letter a can be formed from the set {a,b,c,d,e,f,g}{a,b,c,d,e,f,g}?

Mathematics
1 answer:
NikAS [45]3 years ago
8 0
I believe it would be the same as 43 element subsets containing b,c,d,e,f,g. or 43C6 = 6,096,454
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Find the length of the third side if necessary round to the nearest thenth
kompoz [17]

Answer:

Can you post image of the triangle

Step-by-step explanation:

4 0
2 years ago
A livestock pen is built in the shape of a rectangle that is 2 times as long as it is wide. The perimeter is 30 feet. If the mat
shutvik [7]

Answer:

$57.5 is the total cost to build the pen.

Step-by-step explanation:

We are given the following in the question:

A livestock pen is built in the shape of a rectangle.

The length of rectangle is two times the width.

Let l be the length of rectangle and w be the width of rectangle. Thus, we can write

l = 2w

Perimeter = 30 feet

\text{Perimeter of rectangle} = 30\\2\times (l\times w) = 30

Putting values,

2(2w + w) = 30\\6w = 30\\w = 5\\l = 2w = 10

The length of rectangle is 10 feet and width of rectangle is 5 feet.

If the material used to build the pen is $ 1.75 per foot for the longer sides and $ 2.25 per foot for the shorter sides

Cost of building =

=2\times(\text{Cost of length}\times \text{Length} + \text{Cost of width}\times \text{Width})\\=2\times(1.75\times 10 + 2.25\times 5)\\=57.5

Thus, $57.5 is the total cost to build the pen.

7 0
3 years ago
Identify the correct corresponding parts
andrey2020 [161]

Answer:

The correct corresponding part is;

\overline {CB} ≅ \overline {CD}

Step-by-step explanation:

The information given symbolically in the diagram are;

ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)

Segment \overline {CA} is congruent to \overline {CE} ( \overline {CA} ≅ \overline {CE})

Segment \overline {CB} is congruent to \overline {CD} ( \overline {CB} ≅ \overline {CD})

From which, we have;

∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∠B ≅ ∠D by CPCTC

Segment \overline {AB} is congruent to \overline {DE} (\overline {AB} ≅ \overline {DE}) by CPCTC

Segment \overline {AE} bisects \overline {BD}

Segment \overline {BD} bisects \overline {AE}

Therefore, the correct option is \overline {CB} ≅ \overline {CD}

3 0
2 years ago
A swimming pool at a park measures 9.75 meters by 7.2 meters the area of the playground is one and half times that of the swimmi
ElenaW [278]
9.75 x 7.2 = 70.2
Swimming Pool Area: 70.2
The Park Area: 70.2 x 1.5 = 105.3
Total Area of both Swimming Pool & Park area: 70.2 + 105.3 = 175.5
Final Answer: 175.5
8 0
3 years ago
P-3 1/5=7 1/3 I need help​
alekssr [168]

We have:

p-3\frac{1}{5} =7\frac{1}{3}  => p=7\frac{1}{3}+3\frac{1}{5}= 10\frac{8}{15}

ok done. Thank to me :>

7 0
2 years ago
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