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Degger [83]
3 years ago
10

A retail shop is replacing their flooring with new tile. New tile will go in the point shaded area below. Determine the total sq

uare feet of tile needed to complete the job.
Mathematics
1 answer:
galben [10]3 years ago
8 0

Answer:

137 ft²

Step-by-step explanation:

The shop is rectangular in shape. The area of a rectangle is given by:

Area = length * width

Since the length of the shop = 20 ft and the width = 10 ft, therefore:

Area of the shop = length * width = 20 ft * 10 ft = 200 ft²

The part that would not be tiled is of triangular shape. The area of a triangle is given as:

Area = (1/2) * base * height

The base of the triangle = 18 ft, the height = 7 ft. Hence:

Area of non tiled part = (1/2) * base * height = (1/2) * 18 ft * 7 ft = 63 ft²

The total square feet of tile needed to complete the job = Area of shop - Area of non tiled part

The total square feet of tile needed to complete the job = 200 ft² - 63 ft² = 137 ft²

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The credit remaining on a phone card (in dollors) is a linear function of the total calling trime made with the card ( in minute
KATRIN_1 [288]

After 85 minutes of calls, there are $27.25 left on the card.

<h3>What is the remaining credit after 85 minutes of calls?</h3>

A linear equation in slope-intercept form is:

y = a*x + b

Where a is the slope.

If the line passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

a = \frac{y_2 - y_1}{x_2 - x_1}

In this case, we know that the line passes through the points (22, 36.7) and (52, 32,20)

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So the slope is:

a = \frac{32.2 - 36.7}{52 -22} = -0.15

The linear equation is then:

y = -0.15*x + b

To find the value of b, we use the point (22. 36.7)

36.7 = -0.15*22 + b

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Then the linear equation is:

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The amount remaining in the credit card after 85 minutes is given by evaluating the above equation in x = 85.

y = -0.15*85 + 40 = 27.25

This means that after 85 minutes of calls, there are $27.25 left on the card.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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Number 8 would be B. Number 9 would be A. Hope this helps! Mark brainliest? :))
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Answer:

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