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Dovator [93]
2 years ago
14

The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2

Mathematics
1 answer:
romanna [79]2 years ago
4 0

Answer:

Perimeter is irrational

<em></em>

Step-by-step explanation:

<em>The attachment is missing but the question is still answerable</em>

Given

Area = 24200 yd^2

Required

Determine if the Perimeter is rational or not

First, we need to determine the sides of the square;

Area = Length * Length

Substitute Area = 24200 yd^2

24200 = Length * Length

24200 = Length^2

Take Square root of both sides

\sqrt{24200} = Length

Length = 155.563492

The perimeter of a square is calculated as:

Perimeter = 4 * Length

Perimeter = 4 * 155.563492

Perimeter = 622.253968

<em>Because the value of </em><em>perimeter </em><em>can't be gotten by dividing two integers, then </em><em>perimeter is irrational</em>

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Please help me with my homework<br><br> <img src="https://tex.z-dn.net/?f=%5Cbf%7B%28x%2B9%29%5E5%7D" id="TexFormula1" title="\b
Brut [27]

Answer:

x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049

Step-by-step explanation:

Greetings !

Given expression

(x + 9) {}^{5}

write 5 as a sum

(x + 9) {}^{3 + 2}

use \: a {}^{m + n}  = a {}^{m}  \times a {}^{n} to \: expand \: the \: expression.

(x + 9) {}^{3}  \times (x + 9) {}^{2}

Use (a+b)³=a³+3a²b+b³ to expand the expression

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times (x + 9) {}^{2}

Use (a+b)²=a²+2ab+b² to the second expression to expand it

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times(x {}^{2}  + 18x + 81)

Finally, simplify the expression gives

x {}^{5}  + 45x {}^{4}  + 810x {}^{3}  + 7290x {}^{2}  + 32805x + 59049

Hope it helps!

3 0
2 years ago
Read 2 more answers
In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2 radians
Gennadij [26K]

<em><u>Question:</u></em>

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

<em><u>Answer:</u></em>

<h3>Arc length is 11.30 feet</h3>

<em><u>Solution:</u></em>

Given that,

Radius of circle = 12.6 feet

Central angle = \frac{2 \pi }{7} radians

To find: Arc length

<em><u>The arc length of a circle of radius "r" when central angle given in radians is:</u></em>

s = r \times \theta

Where,

s is the arc length

r is the radius

\theta is the central angle in radians

<em><u>Substituting the values we get,</u></em>

s = 12.6 \times \frac{2 \times \pi }{7}\\\\s = 12.6 \times \frac{2 \times 3.14 }{7}\\\\x = 11.304 \approx 11.30

Thus, arc length is 11.30 feet

7 0
3 years ago
Which of the following is the factored form of the given equation? 6x 2 + 2x - 8 = 0 2(3x + 4)(x - 1) = 0 (6x + 1)(x - 8) = 0 2(
Lelechka [254]
The correct answer for the question that is being presented above is this one: "2(x - 1)(3x + 4) = 0." 

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The correct answer for the question that is being presented above is this one: "</span><span>(x - 4)^2 = -19."</span><span>

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3 0
3 years ago
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ruslelena [56]

Answer:

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unless you just mis-typed, and meant 18-11. 7 would be the answer.

Step-by-step explanation:

7 0
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kirill [66]

Answer:

It would be the fourth one to me Yw

Step-by-step explanation:

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