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LenaWriter [7]
3 years ago
13

Find the area of the shaded segment. Round your answer to the nearest tenth. Please include units in your answer.

Mathematics
1 answer:
RSB [31]3 years ago
6 0

Answer: 56

Step-by-step explanation:

Let's organise our information :

  • the radius of the circle is r=14 cm
  • we can get the area of the shaded by substracting the area of that triangle from that quarter

The area of the cercle's quarter area is :

  • A= 14²×π*(1/4) = 49π cm²

The area of the triangle is :

  • A=14²*(1/2)=98

NOw the area of the shaded segment :

  • A=49π-98= 55.98 ≈ 56

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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)

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Therefore;

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