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2 years ago

Find the area of the shade regions. Give your answer as a completely simplify exact value in terms of pie(no approximation). a=

Mathematics

1 answer:

mr Goodwill [35]2 years ago

4 0

Answer:

125.6 in²

Step-by-step explanation:

Area shaded :

2 × Sector (72°)
2 x πr² x θ/360
2 x 3.14 x 100 x 72/360
6.28 x 100 x 1/5
20 x 6.28
125.6 in²

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3 years ago

5 more than the quotient of a number and 8 is 42

Zepler [3.9K]

Answer:

The number is 296.

Step-by-step explanation:

Let's call "x" to the number we are looking for.

Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:

$\frac{x}{8}+5=42$ . Let's solve the equation to find x.

1. Write the expression.

$\frac{x}{8}+5=42$

2. Substract 5 from both sides and simplify.

$\frac{x}{8}+5-5=42-5\\\\\frac{x}{8}=37\\\\$

3. Multiply 8 on both sides and simplify.

$8*\frac{x}{8}=37*8\\\\x=296$

We have found our number, it's 296!

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2 years ago

Read 2 more answers