Mathematics: Atriangular piece of land has one of its angle equal to 90°.the area of this land is 330sq m.if one side adjacent to the right angle is 11m what are the lengths of the other two sides

Step-by-step explanation:Equation of a circle is given as : Take the derivative of the above with respect to xThe equation of the tangent is given by :...

Atriangular piece of land has one of its angle - id4216156, njones58emailtjcedu

Ответ:

DakRain

12.01.2022

Mathematics

60 m, 61 m

Step-by-step explanation:

If "a" and "b" represent the lengths of the sides adjacent to the right angle, the area is ...

area = (1/2)ab

Filling in the given information, we can find the other side to be ...

330 m² = (1/2)(11 m)b

60 m = b . . . . . . divide by the coefficient of b

Then the remaining side can be found from the Pythagorean theorem:

c² = a² + b² = 11² + 60² = 3721

c = √3721 = 61 . . . meters

The lengths of the other two sides are 60 m and 61 m.

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Ответ:

emilypzamora11

26.01.2020

Mathematics

y = -0.75x + 9.5

Step-by-step explanation:

Equation of a circle is given as :

$(x-a)^{2} + (y-b)^2 = r^{2} \\(x-6)^{2} + (y-5)^2 = 4^{2}\\x^{2} - 12x + 36 + y^{2} -10y + 25 = 16\\x^{2} - 12x + y^{2} -10y + 45 = 0\\$

Take the derivative of the above with respect to x

$2x - 12 + 2y dy/dx - 10 dy/dy = 0\\\frac{dx}{dy} = \frac{6 - x}{y-5} \\At (2,8) dy/dx = (6-2)/(8-5) = 4/3\\dy/dx = 4/3\\The slope of the tangent to the circle, m = \frac{-1}{dy/dx} \\m = \frac{-1}{4/3}\\m= -0.75$

The equation of the tangent is given by :

$y - y_{1} = m(x - x_{1})\\ y - 8 = -0.75(x - 2)\\y - 8 = -0.75x + 1.5\\y = -0.75x + 9.5$

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Atriangular piece of land has one of its angle equal to 90°.the area of this land is 330sq m.if one side adjacent to the right angle is 11m what are the lengths of the other two sides

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