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erma4kov [3.2K]
3 years ago
9

Given that U ={1,2,3,4,5,6}, find the complement of the set A= {2,3,5}

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

9514 1404 393

Answer:

  A' = {1, 4, 6}

Step-by-step explanation:

The complement can be found by deleting all of the members of A from U.

Here, we have highlighted the elements of A in U, so the complement is all of the elements that are not highlighted.

  U = {1, 2, 3, 4, 5, 6}

  A' = {1, 4, 6} . . . . . . . . complement of A

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%20%20%20%5Cdiv%202%20%2B%202%20%5Cdiv%20%20%5Csqrt%7B2%20%7D%20" id="TexForm
NeX [460]

Answer:

\frac{3\sqrt{2} }{2}

Step-by-step explanation:

Given

\frac{\sqrt{2} }{2} + \frac{2}{\sqrt{2} } ← rationalise the denominator by multiplying by \frac{\sqrt{2} }{\sqrt{2} }

= \frac{\sqrt{2} }{2} + ( \frac{2}{\sqrt{2} } × \frac{\sqrt{2} }{\sqrt{2} } )

= \frac{\sqrt{2} }{2} + \frac{2\sqrt{2} }{2}

= \frac{3\sqrt{2} }{2}

5 0
3 years ago
Karim is ordering video games. Each game costs $39.99, and there is a $4.85 shipping charge per order. How much will it cost him
weqwewe [10]
Given:
Cost of a game = $39.99
Shipping charge = $4.85
Let,
number of video games be "n"
Now,
total cost = (cost of each game * total no. of games) + shipping charge
               = $39.99n + $4.85

So, you use the above equation to find the total cost of video games.
7 0
4 years ago
Geometry, plz help!
astra-53 [7]

Answer:

17. surface area ≈ 441.84

04π m² or  1387.38  m²

18. Ratio of volumes = 8/27

19. volume of the smaller solid = 339 yards³

Step-by-step explanation:

17 .

To find the surface area of the sphere we have to find the radius of the sphere first.

volume of a sphere = 4/3πr³

volume = 1548π m³

r = ?

volume of a sphere = 4/3πr³

1548π = 4/3 × π × r³

multiply both sides by 3/4

1548π × 3/4 = πr³

4644π/4 = πr³

1161π = πr³

divide both sides by π

r³ = 1161

cube root both sides

r = ∛1161

r = 10.5101942

r ≈ 10. 51

surface area of a sphere = 4πr²

surface area = 4 × π × 10.51²

surface area = 4 × 110.4601  × π

surface area = 441.8404π m²  

surface area = 441.8404 × 3.14 = 1387.378856  m² ≈ 1387.38 m²

18

If two figure or solid are similar with scale factor or ratio of x/y then the ratio of their volume is (x/y)³. If the ratio of of two similar prism is 2 : 3 the volume will be (2/3)³ = 8/27 .

19

If two solids are similar then the ratio of their surface area is the squared of the scale factor.

121/361 = (x/y)²

square root both sides

x/y = 11/19

If two solids are similar then the ratio of their volume is the cube of the scale factor.

(11/19)³ = a/1747

1331/6859  = a/1747

cross multiply

6859a = 2325257

divide both sides by 6859

a = 2325257/6859

a = 339.008164455

a ≈ 339 yards³

volume of the smaller solid ≈ 339 yards³

4 0
3 years ago
Burke Middle School has an $80 budget to stock the concession stand with drinks at the spring play. Each drink costs the school
serious [3.7K]

Answer:

21

Step-dream ):)

6 0
3 years ago
Read 2 more answers
Drag the point A to the location indicated in each<br> scenario to complete each statement.
LekaFEV [45]

Answer:

The answer is...

1: quadrant III

2: quadrant II

3: quadrant IV

4: quadrant I

Step-by-step explanation:

3 0
3 years ago
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