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mixas84 [53]
3 years ago
10

How many grams is equivalent to 16 milligrams?

Mathematics
2 answers:
natali 33 [55]3 years ago
7 0

Answer:

0.016

Step-by-step explanation:

Blababa [14]3 years ago
3 0
Your answer is the 3rd one (O.016)
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Find the central angle of a sector of a circle of the area of the sector and the area of the circle are in the proportion of 3:5
abruzzese [7]

Answer:

\theta = 216

Step-by-step explanation:

Given

Area of Sector : Area of Circle = 3 : 5

Required

Determine the central angle

The question implies that

\frac{Area_{sector}}{Area_{circle}} = \frac{3}{5}

Multiply both sides by 5

5 * \frac{Area_{sector}}{Area_{circle}} = \frac{3}{5} * 5

5 * \frac{Area_{sector}}{Area_{circle}} = 3

Multiply both sides by Area{circle}

5 * \frac{Area_{sector}}{Area_{circle}} * Area_{circle} = 3 * Area_{circle}

5 * {Area_{sector} = 3 * Area_{circle}

Substitute the areas of sector and circle with their respective formulas;

Area_{sector} =\frac{\theta}{360} * \pi r^2

Area_{circle} = \pi r^2

So, we have

5 * \frac{\theta}{360} * \pi r^2 = 3 * \pi r^2

Divide both sides by \pi r^2

5 * \frac{\theta}{360} * \frac{ \pi r^2}{\pi r^2} = 3 * \frac{\pi r^2}{\pi r^2}

5 * \frac{\theta}{360} = 3

Multiply both sides by 360

360 * 5 * \frac{\theta}{360} = 3 * 360

5 * \theta = 3 * 360

Divide both sides by 5

\frac{5 * \theta}{5} = \frac{3 * 360}{5}

\theta = \frac{3 * 360}{5}

\theta = \frac{1080}{5}

\theta = 216

Hence, the central angle is 216 degrees

3 0
3 years ago
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