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RideAnS [48]
3 years ago
8

Find the area of a rectangle that has a length of 8 inches and a width of 9 inches​

Mathematics
1 answer:
allochka39001 [22]3 years ago
3 0

Answer:

72in

Step-by-step explanation:

area=length x width

a=8x9

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As a diver descends into sea water, the pressure increases by 1 atmosphere every 33 feet. The inequality below can be used to de
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After 4 atmospheres the diver descends -132 feet because -33*4=-132
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The experimental probability of getting a 6 on a number cube is StartFraction 7 over 40 EndFraction. Which is true about the eve
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the answer is A

Step-by-step explanation:

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Do 2 or more shapes with the same perimeter have to have the same area? Explain with examples. AND Do 2 or more shapes with the
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The volume of a cylinder is 347.6cm cube. If the area of the base 34.76cm squared, what is the height?
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115.3333

Step-by-step explanation:

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Hope this helps. :)

7 0
3 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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