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Stolb23 [73]
3 years ago
14

An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 340 feet of antique

picket fencing are to be used to enclose
the garden, find the dimensions of the garden
Mathematics
1 answer:
KIM [24]3 years ago
7 0

Answer:

The dimensions of the garden is 102 feet by 68 feet

Step-by-step explanation:

Here, we want to get the width and length of the garden

The perimeter is represented by the length of the fencing

From the question;

w = 2l/3

The formula for the perimeter is;

P = 2(l + w)

Thus;

340 = 2(l + 2l/3)

170 = (l + 2l/3)

Multiply through by 3

510 = 3l + 2l

5l = 510

l = 102 feet

w = 2/3 * l

w = 2/3 * 102

w = 68 feet

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STatiana [176]

Answer:

475.

Step-by-step explanation:

We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.

We will use z-score formula and normal distribution table to solve our given problem.

z=\frac{x-\mu}{\sigma}

Top 60% means greater than 40%.

Let us find z-score corresponding to normal score to 40% or 0.40.

Using normal distribution table, we got a z-score of -0.25.

Upon substituting our given values in z-score formula, we will get:

-0.25=\frac{x-500}{100}

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Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.

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3 years ago
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arlik [135]

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3 years ago
Complete the sentences below the radius of a circle is _____ the length of its diameter. the diameter of a circle is ______ the
son4ous [18]

Answer:

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Step-by-step explanation:

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Thus,

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For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.

Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius

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tatiyna

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Step-by-step explanation:

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