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3 years ago

Solve the following formula for a.

Mathematics

1 answer:

katrin2010 [14]3 years ago

5 0

Answer:

B is correct .trust me

Step-by-step explanation:

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8 people are about to board a plane. In how many ways can this be done?

adoni [48]

Answer:

64 ways

Step-by-step explanation:

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3 years ago

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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

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3 years ago

SOMEONE PLEASE HELP ME ASAP PLEASE!!

e-lub [12.9K]

Answer:

hope it will help u .....

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3 years ago

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PLEASE HELP!! In a radio station contest, the first prize is $2,000 and the second prize is $500. The probability of winning the

sineoko [7]

Answer:

THe awnswer is B

Step-by-step explanation:

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3 years ago

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Which number sentence is not true?

Studentka2010 [4]

Answer:

Step-by-step explanation:

|-20| = 20 the positive value of -20

20 is not < 20 so A is false

All the rest are true
(B) |9| = 9

(D) |9| = 9, |20| = 20 and 9 < 20

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2 years ago