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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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Will a truck that is 10 feet wide carrying a load that reaches 12 feet above the ground clear the semielliptical arch on the one
beks73 [17]

Figure is missing, so i have attached it.

Answer:

it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

Step-by-step explanation:

The standard form of equation of an ellipse is;

x²/a² + y²/b² = 1

From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft

While the value of b = 13 ft

Thus;

x²/26² + y²/13² = 1

x²/676 + y²/169 = 1

We want to find the height of the archway of the bridge 5 feet from the center.

Thus, we will plug in 5 for x to get;

5²/676 + y²/169 = 1

(25/676) + (y²/169) = 1

Multiply through by 676 to get;

25 + 4y² = 676

4y² = 676 - 25

y² = 651/4

y² = 162.75

y = 12.76 ft

Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

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Answer:

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Step-by-step explanation:

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