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Nat2105 [25]
3 years ago
15

When 64 is added to the number that is produced by doubling the number x, the result is equal to 35 times the number that 1 less

than x. What is the value of x?
Mathematics
1 answer:
photoshop1234 [79]3 years ago
6 0
64+(2x)=35(x-1)
expand
64+2x=35x-35
minus 2x from both sides
64=33x-35
add 35 to both sides
99=33x
divide both sides by 33
3=x
the number is 3
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Step-by-step explanation:

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Answer:

Part A) A_s=\frac{\pi r^{2}}{360^o}{\theta}

Part B) option 1,option 4

Step-by-step explanation:

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we know that

The area of circle is equal to

A=\pi r^{2}

The area of circle subtends a central angle of 360 degrees

so

using proportion

Find out the area of a sector  A_s  by a central angle of ∅ degrees

\frac{\pi r^{2}}{360^o}=\frac{A_s}{\theta}

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Part B) Verify each case

case 1) we have

radius = 5 cm

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substitute the given values

A_s=\frac{(3.14)(5)^{2}}{360^o}{120^o}

A_s=26.2\ cm^2

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The given value of area is correct

case 2) we have

radius = 4 cm

angle = 105°

area = 16.7 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

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angle = 85°

area = 23.7 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

A_s=\frac{(3.14)(6)^{2}}{360^o}{85^o}

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so

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assume

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substitute the given values

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so

The given value of area is correct

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