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ki77a [65]
3 years ago
13

A regular pentagon has side lengths of 14.1 centimeters and an apothem with length 12 centimeters.

Mathematics
2 answers:
lina2011 [118]3 years ago
8 0

Answer:

The approximate area of the regular pentagon is 423 sq.cm.

Step-by-step explanation:

Formula of area of regular pentagon =\frac{Pa}{2}

P=Perimeter of pentagon

a=Apothem

Side of pentagon = 14.1 cm

Perimeter of pentagon =5 \times Side = 5 \times 14.1=70.5

Apothem=12 cm

Area of regular pentagon = \frac{70.5 \times 12}{2}=423 cm^2

Hence the approximate area of the regular pentagon is 423 sq.cm.

Irina18 [472]3 years ago
3 0

Answer:

The answer is C on Edge 2020

Step-by-step explanation:

I did the Exam

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Answer:

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Step-by-step explanation:

Solve the following system:

{y - 2.5 x = 13.5

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{y - 2.5 x = 13.5

12.25 x - y = -12.25

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y - (5 x)/2 = 27/2

Add (5 x)/2 to both sides:

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{y = 1/2 (5 x + 27)

1/2 (-5 x - 27) + 12.25 x = -12.25

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{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

In the second equation, look to solve for x:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:

(39 x)/4 - 27/2 = -49/4

Add 27/2 to both sides:

{y = 1/2 (5 x + 27)

(39 x)/4 = 5/4

Multiply both sides by 4/39:

{y = 1/2 (5 x + 27)

x = 5/39

Substitute x = 5/39 into the first equation:

{y = 539/39

x = 5/39

Collect results in alphabetical order:

Answer: {x = 5/39 , y = 539/39

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