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Natasha2012 [34]
2 years ago
12

Find the area of the shaded region. Use 3.14 for at as necessary. PLEASE HELP ASAP!!

Mathematics
1 answer:
ollegr [7]2 years ago
7 0

9514 1404 393

Answer:

  A. 53.5cm^2

Step-by-step explanation:

The area of the circle is ...

  A = πr²

  A = 3.14(5 cm)² = 78.5 cm²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(10 cm)(5 cm) = 25 cm²

The shaded area is the difference between the circle area and the triangle area:

  shaded = 78.5 cm² -25 cm² = 53.5 cm²

_____

<em>Additional comment</em>

As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).

The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.

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Given rational expression is:


\frac{(4x^2-32x+48)}{(3x^2-17x-6)}

Now we can simplify this by factoring as shown below:


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Hence final answer is \frac{4(x-2)}{(3x+1)}




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