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3 years ago

Find the area of the shaded segment of the circle

Mathematics

1 answer:

hoa [83]3 years ago

6 0

Answer:

15.35 m²

Step-by-step explanation:

For a central angle of θ in radians, the area of a segment is ...

A = (1/2)r²(θ -sin(θ))

The central angle subtending the segment is 120°, or 2π/3 radians. Thus the segment area is ...

A = (1/2)(5 m)²(2π/3 -sin(2π/3)) = (25 m²)(π/3 -(√3)/4)

A ≈ 15.35 m² . . . . area of shaded segment

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3 years ago

How to solve 3.5x = 14.7

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Answer:

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3.5x=14.7

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3 years ago

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Zigmanuir [339]

3 x 3 = 9
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Explanation:
3 works for both cases

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3 years ago

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Which of the following correctly lists angle pairs that have sums of 180° and 90°?

Kisachek [45]

C.) supplementary angles, complementary angles

Step-by-step explanation:

Look at the picture below.

A supplementary angle(s) has a total sum of 180°

A complimentary angle(s) has a total sum of 90°

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Therefore, C would be the correct answer.

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2 years ago

John made this model to show \frac{4}{7}\times\frac{13}{9} 7 4 × 9 13 Using John's model, what is \frac{4}{7}\times\frac{13}

harkovskaia [24]

Answer:

$\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}$

Step-by-step explanation:

Given

See attachment for model

Required

Determine $\frac{4}{7}\times\frac{13}{9}$ from the model

The model is represented by:

$\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}$

To get: $\frac{4}{7}\times\frac{9}{9}$ , we consider the first partition

The number of shaded box is 63 ---- this represents the denominator

The total boxes shaded at the bottom is 36 ---- this represents the numerator

So, we have:

$\frac{4}{7}\times\frac{9}{9} = \frac{36}{63}$

To get: $\frac{4}{7}\times\frac{9}{9}$ , we consider the first partition

The number of shaded box is 63 ---- this represents the denominator

The total boxes shaded at the bottom is 16 (do not count the gray boxes) ---- this represents the numerator

So, we have:

$\frac{4}{7}\times\frac{4}{9} =\frac{16}{63}$

The equation becomes:

$\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}$

$\frac{4}{7}\times\frac{13}{9} = \frac{36}{63} + \frac{16}{63}$

$\frac{4}{7}\times\frac{13}{9} = \frac{36+16}{63}$

$\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}$

5 0

3 years ago