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Brut [27]
4 years ago
12

Find A ∩ B if A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.

Mathematics
2 answers:
Gwar [14]4 years ago
8 0

Answer:

<h2>{5}</h2>

Step-by-step explanation:

A=\{2,\ 5,\ 8,\ 11,\ 14\}\\\\B=\{1,\ 3,\ 5,\ 7\}\\\\A\ \cap\ B-\text{the intersection of two sets A and B,}\\\text{ is the set that contains all elements of A that also belong to B.}\\\\\text{Therefore:}\ A\ \cap\ B=\{5\}

LekaFEV [45]4 years ago
7 0

Answer:

Option 2 -  A\cap B=\{5\}

Step-by-step explanation:

Given : A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.

To find : A\cap B ?

Solution :

The intersection of two sets A and B is the set containing all elements of A that also belong to B and nothing else.

A = {2, 5, 8, 11, 14}

B = {1, 3, 5, 7}

The common elements are 5.

So, A\cap B=\{5\}

Therefore, Option 2 is correct.

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988

Step-by-step explanation:

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3 years ago
Find the next 2 terms in the Geometric sequence 20,30,45 ...
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Answers:

The next two terms are 67.5 and 101.25 in that order.

===========================================

Explanation:

Divide the second term over the first to get 30/20 = 1.5

Divide the third term over the second term to get 45/30 = 1.5

The common ratio is 1.5, which means we multiply 1.5 by each term to get the next term

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fourth term = 1.5*(third term) = 1.5*45 = 67.5

fifth term = 1.5*(fourth term) = 1.5*67.5 = 101.25

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As a shortcut you can plug n = 4 and n = 5 into the function t(n) = 20*(1.5)^(n-1) to get the fourth and fifth terms respectively.

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3 years ago
Which theorem or postulate proves the two triangles are similar
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The volume of a cone =13πr2h
xz_007 [3.2K]

Answer:

Volume of cone = 418.67 cm³ (Approx.)

Step-by-step explanation:

Given:

Radius of cone = 5 cm

Height of cone = 16 cm

Find:

Volume of cone

Computation:

Volume of cone = [1/3][π][r²][h]

Volume of cone = [1/3][3.14][5²][16]

Volume of cone = [1/3][3.14][25][16]

Volume of cone = [1/3][3.14][400]

Volume of cone = [1/3][1,256]

Volume of cone = 418.67 cm³ (Approx.)

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