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miskamm [114]
3 years ago
13

I just want to make sure that this is correct:

Mathematics
1 answer:
JulsSmile [24]3 years ago
6 0

Answer:

yes

Step-by-step explanation:

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a storage tank has the dimensions shown below how many storage tanks are needed to contain 60000 cubic meters of liquid
Sladkaya [172]
First find the volume of that container

R = pi (r)^2h
R = pi (15.21)(12.4)
R = 592.5169408

60,000 / R = 101.2629275

102 storage tanks
4 0
3 years ago
Why is it not possible to make a right triangle using lengths of 20 feet, 40 feet, and 65 feet?
kogti [31]
20+40=60 and therefor 60 is less than 65
8 0
3 years ago
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(4x+2)=102+44 solve for x
sergiy2304 [10]
<h3>Solution:</h3>
  • (4x + 2) = 102 + 44
  • or, 4x = 102 + 44 - 2
  • or, 4x = 144
  • or, x = 144 ÷ 4
  • or, x = 36
<h3>Answer:</h3>

x = 36

8 0
3 years ago
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Can someone please answer this m
sweet-ann [11.9K]

Answer:

5^-4

1 / 5^4

Step-by-step explanation:

5^3  / 5^7

We know a^b  / a^c  = a^(b-c)

5^(3-7)

5^-4

If you are not allowed to have negative exponents

We know a^-b = 1/a^b

1 / 5^4

7 0
2 years ago
Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

4 0
3 years ago
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