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Aleksandr-060686 [28]
3 years ago
5

The following equation describes a circle.

Mathematics
1 answer:
Simora [160]3 years ago
3 0

Answer:

Center = (5, -2)  and radius = √33

Step-by-step explanation:

The equation of a circle is given by the formula;

(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius of the circle.

In this case;

2x² - 20x + 2y² + 8y =40 ;

Dividing both sides of the equation by 2 we get;

x² - 10x + y² + 4y = 20

we can then use the completing the square on both x and y terms.

x² - 10x + y² + 4y = 20

x² + 2(-5)x + 25 + y² + 2(2) y + 4 = 20 +9 + 4

In standard form we get;

(x-5)² + (y+2)² = 33

Therefore;

Center = (5, -2)  and radius = √33

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Answer:

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Step-by-step explanation:

We are given that Tublu buys a cylindrical water tank of height 1.4 m and diameter 1.1 m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank (not the base).

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From the question, it is clear the area of the tank which needs to be painted is the lateral surface area (because the base is not included).

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where, r = radius of the cylinder =  \frac{\text{Diameter}}{2}  = \frac{1.1 }{2} = 0.55 m

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So, the lateral surface area of a cylindrical water tank = 2 \times 3.142 \times 0.55 \times 1.4

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Since he has a full 2 liters tin of paint in his store which is equal to 2000 ml but he need only 1210 ml of paint.

This means that yes, he will have enough paint to cover the tank with one layer of paint.

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