Will give brainliest

Find the probability that a randomly
selected point within the circle falls
in the white area.
W
r = 4 cm
4√2 cm
[? ]%
Round to the nearest tenth of a percent.

Will Give Brainliest Find The Probability That A Randomlyselected Point Within The Circle Fallsin The

Answers

Answer 1

Answer:

The probability that a randomly selected point within the circle falls in the white area is approximately 36.3%

Step-by-step explanation:

The given parameters of the area are;

The length of the radius of the circle, r = 4 cm

The length of the side of the inscribed quadrilateral, s = 4·√2 cm

The diagonals of the inscribed quadrilateral = 2 × The radius of the circle

∴ The diagonals of the inscribed quadrilateral are equal and given that the sides of the quadrilateral are equal, the quadrilateral is a square

The probability that a randomly selected point within the circle is white is given by the ratio of the white area to the brown square area as follows;

The white area = The total area - The area brown square

The total area, A = The area of the circle with radius, r = π·r²

∴ A = π·(4 cm)² = 16·π cm²

The area of the brown square, Asq = s² = 4·√2 cm × 4·√2 cm = 32 cm²

The white area, Aw = 16·π cm² - 32 cm² = 16·(π - 2) cm²

The probability that a randomly selected point within the circle falls in the white area is therefore;

[tex]P(W) = \dfrac{A_W}{T_A} = \dfrac{16 \cdot (\pi - 2) \, cm^2}{16 \cdot \pi \, cm^2 } \times 100= \left (1 - \dfrac{2}{\pi}\right) \times 100 \approx 36.338022763241865692 \%[/tex]

By rounding to the nearest tenth of a percent, we have;

The probability that a randomly selected point within the circle falls in the white area, P(W) ≈ 38.3%.


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Answers

Answer:

A mindset is kind of like a mood. They are asking you what kind of mood or how you feel when it comes to math.

Step-by-step explanation:

Example |  Fixed Mindset: I'm jealous of other people's success. Growth Mindset: I am inspired by other people's success.

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answer:

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Answers

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VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Hello there!

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Answers

Answer:

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Answers

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Choose 1 answer:
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B
2024 . y24
x? .y?
212
yl2

Answers

Answer:

B.....

Step-by-step explanation:

...................................................

Answer:

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Step-by-step explanation:

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Answers

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[tex]y = 2x + 9[/tex]

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Answers

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Answers

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Step-by-step explanation

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Answers

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The answer to the question provided is 7.

Step-by-step explanation:

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Answers

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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the expressions with their simplified forms.

Answers

Hence the matching expression is:

√2 * √8 = 4

√80 = 4√5

√5/√20 = 1/2

√20 = 2√5

Solving the rational expression

Given the following expressions, we are to match with the values in box.

For the expression

√2 * √8 = √2 * √2*4
√2 * √8 = √2 * 2√2

√2 * √8 = 4

For the expression √80
√80 = √16*5
√80 = 4√5

For the expression √5/√20
√5/√20 = √5/√4*5
√5/√20 = √5/2√5

√5/√20 = 1/2

For the expression √20

√20 = √4*5
√20 = 2√5

Hence the equivalent matching expression are;

√2 * √8 = 4

√80 = 4√5

√5/√20 = 1/2

√20 = 2√5

Learn more on rational expression here: https://brainly.com/question/29061047

#SPJ1

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