Mathematical connection A lighthouse casts a revolving beam of light as far as the pier

Mathematics

1 answer:

Alexandra [31]1 year ago

4 0

The light's coverage area is given mathematically as i.e. Area= $\pi d^{2}$

Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.

The revolving beam of light covers the whole space i.e entirely 360°

I.e. it forms a circle-like region

Area of circle = $\pi r^{2}$ { where r is the radius of circle}

Let's assume the distance traveled by light as "d"

as it forms a circular region, it forms a circle of radius "d"

Mathematical connection i.e. area of the region

⇒area of circular region= $\pi d^{2}$ {where d is the radius of region}

Learn more about area here:

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ExtremeBDS [4]

1. The area of the full rectangle is 21 * 28 = 588. We will need this later.

Like you drew, there is an imaginary triangle missing. We can find the dimensions of it by subtracting from the given information. The shorter leg of it is 21 - 12 = 9, the longer leg is 28 - 14 = 14.

Now we find the area of the triangle. Area of a triangle is 1/2 * base * height. So 1/2 * 9 * 14 = 1/2 * 126 = 63.

Now we do the full area of 588 minus the area of the missing triangle piece.

588 - 63 = 525 ft²

2. Do the area of the rectangle and then this time add on the area of the triangle. 7 * 15 = 105. Area of the triangle = 1/2 * 2 * 7 = 1/2 * 14 = 7.

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The cost to manufacture t shirts can be represented by the function c(x)=10.5x complete the following statement about the functi

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For this case we have:

Cost of manufactures of T-shirts $C(x)=10.5x$