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Vera_Pavlovna [14]
2 years ago
6

Learning task 1. Using the given organizer,write the necessary information to complete the concept about seismic waves.

Mathematics
1 answer:
hichkok12 [17]2 years ago
6 0

Answer:

hello the organizer associated with your question is missing attached below is missing organizer

answer :

attached below

Step-by-step explanation:

Seismic waves are a type of energy waves that occur through the layers of the Earth. they are caused by various natural disasters such as ; Earthquakes, landslides e.t.c although they can be caused by man-made explosions as well.

Seismic waves can be grouped into : body and surface waves

attached below is the complete information needed in the organizer

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D) no real solution

Answer:

C) x = ±5Plus or minus 5 StartRoot 2 EndRoot

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Find the dimensions of the box with volume 1728 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box
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Answer:

The dimensions of the box are 12 cm , 12 cm , 12 cm

Step-by-step explanation:

Let x , y and z be the dimensions of box

Volume of box =xyz=1728

z=\frac{1728}{xy}

Surface area of box = 2xy+2yz+2xz=2xy+2y(\frac{1728}{xy})+2x(\frac{1728}{xy})

Let f(x,y)=2xy+2(\frac{1728}{x})+2(\frac{1728}{y})

To get minimal surface area

\frac{\partial f}{\partial x}=0 and \frac{\partial f}{\partial y}=0

\frac{\partial(2xy+2(\frac{1728}{x})+2(\frac{1728}{y}))}{\partial x}=0

2y-2(\frac{1728}{x^2})=0

y=\frac{1728}{x^2} ----1

\frac{\partial(2xy+2(\frac{1728}{x})+2(\frac{1728}{y}))}{\partial y}=0

2x-2(\frac{1728}{y^2})=0\\x=\frac{1728}{y^2}  \\y^2=\frac{1728}{x}

Using 1

(\frac{1728}{x^2} )^2=\frac{1728}{x}

x=0 and x^3=1728

Side can never be 0

So,x^3=1728

x=12

y=\frac{1728}{x^2} \\y=\frac{1728}{12^2}

y=12

z=\frac{1728}{xy}\\z=\frac{1728}{(12)(12)}

z=12

The dimensions of the box are 12 cm , 12 cm , 12 cm

5 0
2 years ago
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