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givi [52]
3 years ago
5

Farmer Smith enclosed his rectangular pasture with fence that cost him $1.50 per linear meter. If his pasture is twice as long a

s it is wide with a total area of 180,000 square meters, then what was the cost, in dollars, of the fence?
Mathematics
1 answer:
maria [59]3 years ago
6 0

Answer:

$2,700

Step-by-step explanation:

Let the width of the pasture be x, this means that the length of the pasture will be 2x

The area of a rectangle is L * B

Hence,

x * 2x = 18,000

2x^2 = 180,000

x^2 = 90000

x = 300 meters

This means the length is 600 metres

Now, to get the length of the fence, we need to know the actual perimeter which is 2(L + B)

= 2 ( 300 + 600)

2 * 900 = 1,800 metres

The cost is thus 1,800 * $1.50 = $2,700

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emmainna [20.7K]
Larger triangle’s base length

a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
__________________

Smaller triangle’s base length:

The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
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The finale!

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or... 11.416 (unrounded to thousandths place)

Good luck to you!
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3 years ago
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2 years ago
A researcher wishes to estimate the number of households with two cars. How large a sample is needed in order to be 99% confiden
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Answer:

Sample size n = 1382

so correct option is D) 1382

Step-by-step explanation:

given data

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margin of error = 3%

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solution

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and we know E margin of error is 0.03 so value of Z for 99%

α = 1 - 99%   = 1 - 0.99

α  = 0.01

and  \frac{\alpha}{2} = \frac{0.01}{2}

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so Z is here

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2 years ago
Read 2 more answers
Plans call for the reptile Reserve to be surrounded on all sides by a fence. What is the total length of the fence?
Oduvanchick [21]

Answer:

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If the fence is square, P = 4L

L = P/4

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