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3 years ago

Question

Mathematics

2 answers:

34kurt3 years ago

5 0

Answer:

no I have no idea I justwant points

bazaltina [42]3 years ago

5 0

Answer:

1 hour-66

2 hours- 68

3 hours- 70

4 hours- 72

5 hours- 74

6 hours-76

7 hours-78

8 hours- 80

9 hours- 82

10 hours- 84

its also a pattern that keeps increasing by 2

Step-by-step explanation:

f(1)=64+2(1)=64+2=66

1 hour-66

keep subsitiution t for the hours

f(2)=64+2(2)=64+4=68

2 hours- 68

so on so the answers are

1 hour-66

2 hours- 68

3 hours- 70

4 hours- 72

5 hours- 74

6 hours-76

7 hours-78

8 hours- 80

9 hours- 82

10 hours- 84

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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

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

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Multiply both sides by Area{circle}

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

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

$Area_{circle} = \pi r^2$

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

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