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larisa [96]
2 years ago
8

Decagon, a=22 m, s=14.3 m

Mathematics
1 answer:
abruzzese [7]2 years ago
8 0

The area of the decagon is 1573.39 square meters

<h3>How to determine the area of the decagon?</h3>

The given parameters are:

  • Side length, s = 14.3 m
  • Apothem, a = 22 m

The area of a decagon is calculated using:

A = \frac 52s^2\sqrt{5 + 2\sqrt 5

Substitute 14.3 for s

A = \frac 52 * 14.3^2\sqrt{5 + 2\sqrt 5

Evaluate the exponent

A = \frac 52 * 204.49\sqrt{5 + 2\sqrt 5

Evaluate the product and the roots

A = 1573.39

Hence, the area of the decagon is 1573.39 square meters

Read more about areas at:

brainly.com/question/24487155

#SPJ1

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The angle of elevation from a buoy in the water to the top of a lighthouse is 68degrees. If a buoy is 300 ft from the base of th
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The height of the lighthouse is 742.5\ ft

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Which triangle correctly shows that the side opposite the larger angle is the larger side?
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The pairs of integer having two real solution forax^{2} -6x+c = 0 are

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Step-by-step explanation:

Given

ax^{2} -6x+c = 0

Now we will solve the equation by putting all the 6 pairs so we get the  following

-3x^{2} -6x-5 = 0 for a = -3 , c=-5

-4x^{2} -6x+5 = 0 for a = -4 , c=5

1x^{2} -6x+6 = 0 for a = 1 , c=6

2x^{2} -6x+3 = 0 for a = 2 , c=3

3x^{2} -6x+3 = 0 for a = 3 , c=3

5x^{2} -6x+4 = 0 for a = 5 , c=4

The above  all are Quadratic equations inn general form ax^{2} +bx+c=0

where we have a,b and c constant values

So for a real Solution we must have

Disciminant , b^{2} -4\timesa\timesc \geq 0

for a = -3 , c=-5 we have

Discriminant =-24 which is less than 0 ∴ not a real solution.

for a = -4 , c=5 we have

Discriminant = 116 which is greater than 0 ∴ a real solution.

for a = 1 , c=6 we have

Discriminant =12 which is greater than 0 ∴ a real solution.

for a = 2 , c=3 we have

Discriminant =12 which is greater than 0 ∴ a real solution.

for a = 3 , c=3 we have

Discriminant =0 which is equal to 0 ∴ a real solution.

for a = 5 , c=4 we have

Discriminant =-44 which is less than 0 ∴ not a real solution.

7 0
3 years ago
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