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solniwko [45]
4 years ago
14

You are enclosing a rectangular garden with 60 feet of ornamental fencing. the area of the garden is 200 square feet. what are t

he dimensions of the​ garden?
Mathematics
1 answer:
Lilit [14]4 years ago
5 0

The perimeter is equal to 60 feet and has the formula:

Perimeter = 2 l + 2 w

60 = 2 l + 2 w

 

The area is equal to 200 square feet and has the formula:

Area = l w

200 = l w

 

Rewriting area in terms of l:

l = 200 / w

 

Combining this with the perimeter formula:

60 = 2 (200 / w) + 2 w

60 = 400 / w + 2 w

Multiplying all by w:

60 w = 400 + 2 w^2

Dividing by 2 and rearranging:

w^2 – 30 w = - 200

Completing the square:

(w – 15)^2 = - 200 + (-15)^2

(w – 15)^2 = 25

w – 15 = ±5

w = 10, 20

 

Hence the dimensions of the garden is 10 feet by 20 feet

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Step-by-step explanation:

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I'll do a few to help you out:

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What is the repulsive force between two pith balls that are 13.0 cm apart and have equal charges of −24.0 nC?
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The repulsive force is 3.067\times10^{-4}N.

Step-by-step explanation:

Consider the provided information.

The coulomb's law to calculate the repulsive force: F=\frac{kQ_1Q_2}{r^2}

Where the value of k is 9.00×10⁹ Nm²/C²

Substitute the respective values in the above formula.

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F=\frac{9\times10^9\frac{N\cdot m^2}{c^2} \times(-24\times10^{-9}C)^2}{(0.13 m)^2}

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8 0
3 years ago
PLEASE HELP THIS IS DUE TODAY
Neporo4naja [7]

The Mean Absolute Deviation is commonly known as MAD. The correct statement about the situation is D.

<h3>What is the Mean Absolute Deviation?</h3>

The Mean Absolute Deviation, commonly known as MAD is the average of the difference between the mean and the data points, it can also be referred to as the average of the deviations of the data points from the mean.

Given Two months ago, the mean daily rainfall in a local city was 9.4 cm. The mean absolute deviation was 3.5 cm. Last month, the mean daily rainfall in that city was 11.5 cm, and the mean absolute deviation was 1.6 cm.

As it is known that more MAD for data points means more deviation of the data points from the mean, while it is vice versa if it is less. Therefore, we can conclude Last month, the amount of rain that fell each day varied less than the month before.

Hence, the correct statement about the situation is D.

Learn more about the Mean Absolute Deviation:

https://brainly.in/question/8755707

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