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Free_Kalibri [48]
3 years ago
5

Find the area of the figure to the nearest thousandth

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0

Answer:

Total Area = 236.715 sq ft

Step-by-step explanation:

this is a composite figure made up of a circle and a rectangle; find the area of each and then add them together

A(circle) = πr²

= π(7.5²)

= 176.715

A(rectangle) = 15(4) which is 60

Total Area = 236.715 sq ft

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Given:

|3+4 i|+|3-4 i|+|-3+4 i|+|-3-4 i|

Solution:

Complex formula:

|a+b i|=\sqrt{(a+b i)(a-b i)}=\sqrt{a^{2}+b^{2}}

Let us simplify one by one.

|3+4 i|=\sqrt{3^{2}+4^{2}}

           =\sqrt{25}

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|3-4 i|=\sqrt{3^{2}+(-4)^{2}}

           =\sqrt{25}

|3 - 4i| = 5

|-3+4 i|=\sqrt{(-3)^{2}+4^{2}}

           =\sqrt{25}

|-3 + 4i| = 5

|-3-4 i|=\sqrt{(-3)^{2}+(-4)^{2}}

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Substitute these in the given expression:

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