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Katyanochek1 [597]
3 years ago
15

There are 13 steps in the stairwell, each measuring one foot by three foot. In order to cover all the steps, how many square fee

t of carpet does Mr. Meglio need to purchase?
Mathematics
1 answer:
puteri [66]3 years ago
3 0

Answer:

Mr. Meglio need to purchase 39 square feet of carpet.

Step-by-step explanation:

Given:

Total number of steps = 13

Length of each step = 1 foot

Width of each step = 3 foot

We need to find the square feet of carpet does Mr. Meglio need to purchase.

Solution:

First we will find the area of each step.

area of each step is equal to length times width.

framing in equation form we get;

area of each step = 1\times 3 = 3\ ft^2

Now amount of carpet required in square feet we multiply number of step with area of each step.

framing in equation form we get;

Amount of carpet required = 13\times3 =39\ ft^2

Hence Mr. Meglio need to purchase 39 square feet of carpet.

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Step-by-step explanation:

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Answer:

y(0) = 0.25 feet

y(\frac{1}{4}) = 0.0789 \text{ feet}

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Step-by-step explanation:

We are given the following information in the question:

The displacement from equilibrium of an oscillating weight suspended by a spring =

y(t) = \displaystyle\frac{1}{4} \cos(5t)

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Here, cos is in radians.

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y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}

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y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059

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The negative sign indicates the opposite direction of displacement.

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