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Law Incorporation [45]
3 years ago
13

What will be the area of the shaded part ?

Mathematics
1 answer:
maksim [4K]3 years ago
8 0

Answer:

34.785 units²

Step-by-step explanation:

The area of each triangular section of the hexagon is ...

... A = (1/2)sin(60°)·8²

There are 6 such sections, so their total area (the area of the hexagon) is ...

... 6A = 6·(1/2)·sin(60°)·8² = 3sin(60°)·8² . . . . . hexagon area

The area of the circumscribing circle is ...

... A = πr² = π·8²

The shaded area is the difference between the area of the circle and the area of the hexagon:

... shaded area = π·8² -3sin(60°)·8² = 64(π -3sin(60°))

... shaded area ≈ 34.785 units²

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Bruce will receive $160 million for the batmobile.

<h3>What is percentage?</h3>

The term "percentage" comes from the Latin phrase "per centum," meaning means "by the hundred." Percentages is fractions with a denominator of 100.

In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Calculating a percentage implies determining a portion of a whole in term of 100. A percentage can be calculated in two ways:

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Now, according to the question;

Given that prices fall about 20% every decade;

Thus,  100% - 20% = 80%

He paid $250 million for a batmobile twenty years ago.

Let Bruce to receive x millions of dollars for the batmobile.

⇒ 80% of x = 80/100 × x = 4/5 x

⇒ x = 250(4/5)(4/5)

⇒ x = 250(16/25)

⇒ x = 160

As a result, Bruce will receive 160 millions of dollars for such batmobile.

To know more about the percentage, here

brainly.com/question/317717

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The correct question is-

Twenty years ago, Bruce Wayne bought a batmobile for 250 million dollars. As the crime in Gotham city

has been down for a while, he plans to sell it.

How much can he get for the batmobile if the price goes down by 20% every decade? million dollars

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