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emmainna [20.7K]
3 years ago
9

Which of the following functions is graphed below?

Mathematics
1 answer:
pishuonlain [190]3 years ago
7 0
Answer: B

The piece wise functions first part says: x is less than it equal to one and has a vertical shift down 4. which would mean the circle is closed and shaded down.

The second part of the function says x is greater than one and has a vertical shift up 3. This would mean it is an open circle and is shaded up.
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What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter
n200080 [17]

Question:

What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the values of radius and central angle are not given.

However, I'll answer the question using the attached figure.

From the attached figure, the radius is 3 unit and the central angle is 120 degrees

The area of a sector is calculated as thus;

Area = \frac{\alpha }{360} * \pi r^2

Where \alpha represents the central angle and r represents the radius

By substituting \alpha = 120 and r = 3

Area = \frac{\alpha }{360} * \pi r^2 becomes

Area = \frac{120}{360} * \pi * 3^2

Area = \frac{1}{3} * \pi * 9

Area = \pi * 3

Area = 3\pi square units

Solving further to leave answer as a decimal; we have to substitute 3.14 for \pi

So, Area = 3\pi becomes

Area = 3 * 3.14

Area = 9.42 square units

Hence, the area of the sector in the attached figure is 3\pi or 9.42 square units

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Step-by-step explanation:

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<span>3(x + 5) = 3 · x + 3 · 5</span>
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