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lutik1710 [3]
4 years ago
15

Need help with this please: Find the measure of a central angle of an arc whose length is 3pi units if the diameter of the circl

e is 6 units.

Mathematics
1 answer:
Mamont248 [21]4 years ago
4 0

Answer:

The angle subtended by the angle is π rad.

Step-by-step explanation:

Length of an arc is expressed as rθ

L = rθ

r is the radius of the circle

θ is the angle subtended by the arc

Given L = 3π units

diameter = 2×radius = 6units

radius = 6/2 = 3units

Substituting this values in the formula to get θ we have;

3π = 3θ

θ = 3π/3

θ = π rad

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Answer:

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Step-by-step explanation:

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A local hospital currently has 184 male patients. If the ratio of male to female patients is 4:3, how many female patients are t
Afina-wow [57]

There are 138 female patients in the hospital.

<h3>Solving word problems involving ratios.</h3>

The solution to the word problem involving ratios in the given problem can be determined as follows.

From the given information:

The total number of people in the hospital = male + female

= 184 + x(unknown)

  • If the ratio of male to female is 4: 3.
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The ratio of males in the hospital is:

\mathbf{184= \dfrac{4}{7} \times x }

\mathbf{184\times 7= 4 x }

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The number of female patients in the hospital can now be computed as:

\mathbf{=\dfrac{3}{7}\times 322}

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Check:

The total number of people in the hospital is:

= 184 + 138

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Learn more about word problems here:

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