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mamaluj [8]
3 years ago
14

A square garden has a diagonal of 12m. What is the perimeter of the garden? Express in simplest radical form.

Mathematics
1 answer:
FromTheMoon [43]3 years ago
7 0

Answer:

24√2

Step-by-step explanation:

Let the side of the square be x

If the diagonal is 12m (hypotenuse), then;

x^2 + x^2 = 12^2

2x^2 = 144

x^2 = 144/2

x^2 = 72

x = √72

x = √36*2

x = 6√2

Perimeter of the square garden = 4x

Perimeter of the square garden = 4(6√2)

Perimeter of the square garden = 24√2

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Find the greates common factor of the following monomials:2r^4s^2 and 36r^4s^3
ki77a [65]

The greatest common factor is 2r^{4} s^{2}


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Then we use the smallest number of each variable. There are 4 r's in both equations. So, that is the number that we take. There are 2 s's in the first term, so we take that number.

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Serggg [28]

(25*10)^6

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1 year ago
The formula P=a+b+c gives perimeter P of triangle side lengths a,b,and c how much greater is perimeter when triangle measures 33
seropon [69]

Answer:

41 yards greater is the perimeter of 1st triangular field than the perimeter of 2nd triangular field.

First we have to calculate the perimeter of 1st triangle.

Given:

a = 33 yards

b = 56 yards

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a = 26 yards

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Therefore, 41 yards greater is the perimeter of 1st triangular field than the perimeter of 2nd triangular field.

Step-by-step explanation:

(154-113)

41 yards bigger

3 0
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How do you do these questions?
Doss [256]

Step-by-step explanation:

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Divide.

Fₙ₊₁ / Fₙ = 1 + (Fₙ₋₁ / Fₙ)

Rewrite the second fraction using negative exponent.

Fₙ₊₁ / Fₙ = 1 + (Fₙ / Fₙ₋₁)⁻¹

Take the limit of both sides as n approaches infinity.

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Substitute with φ.

φ = 1 + φ⁻¹

Solve.

φ² = φ + 1

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φ = [ -(-1) ± √((-1)² − 4(1)(-1)) ] / 2(1)

φ = (1 ± √5) / 2

Since the ratio can't be negative:

φ = (1 + √5) / 2

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