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Inga [223]
3 years ago
15

The side of a triangle is 10 square meters longer than the side of an equalateral triangle. The perimeter of the square is 3 tim

es the perimeter of the triangle. Find the length of each side of the triangle.
Mathematics
1 answer:
ryzh [129]3 years ago
5 0
<span>square side = 10 meters
perimeter of square = 4*L = 40 meters
...
let side of triangle be x
perimeter of triangle = 3x

...
40 = 3x *3
9x =40
x= 40/9
x= 4.44 meters length of side of triangle</span>
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Answer:

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Step-by-step explanation:

The given function is

f(x,y,z)=4x\sin (y-z)

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

f_x(x,y,z)=4(1)\sin (y-z)

f_x(x,y,z)=4\sin (y-z)

Differentiate partially w.r.t. y and x, z are constants.

f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)

f_y(x,y,z)=4x\cos (y-z)

Differentiate partially w.r.t. z and x, y are constants.

f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)

f_z(x,y,z)=4x\cos (y-z)(-1)

f_z(x,y,z)=-4x\cos (y-z)

Therefore, the first partial derivatives of the function are f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z).

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