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andreev551 [17]

2 years ago

12

the product of 8 and a number , increased by 52, is equivalent to the product of 12 and the sum of the number and 2 . find the n

umber

1 answer:

Step2247 [10]2 years ago

8 0

8n+52=12(n+2)

distribute

8n+52 = 12n+24

subtract 8n from each side

52=4n +24

subtract 24 from each side

28 = 4n

divide by 4 on each side

7=n

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The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?

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Answer:

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Step-by-step explanation:

Given

$Radius, r = 4ft$

$Angle, \theta = 45$

Required

Calculate the area of the sector

When angle is given in degrees, the area of sector is calculated as thus;

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$Substitute\ r = 4\ and\ \theta = 45$

$Area = \frac{\theta}{360} * \pi * r^2$ becomes

$Area = \frac{45}{360} * \pi * 4^2$

$Area = \frac{45}{360} * \pi * 16$

$Area = \frac{45*16}{360} * \pi$

$Area = \frac{720}{360} * \pi$

$Area = 2 * \pi$

$Area = 2 \pi\ ft^2$

The above is the area in terms of π

Solving further.... (Take π as 3.14)

$Area = 2 \pi\ ft^2$ becomes

$Area = 2 * 3.14\ ft^2$

$Area = 6.28\ ft^2$

Hence, the area of the sector is

$Area = 6.28\ ft^2$ or $Area = 2 \pi\ ft^2$

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<u>Step 1: Define</u>

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