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3 years ago

What is the volume, in cubic m, of a rectangular prism with a height of 8m, a width of 9m, and a length of 19m?

Mathematics

1 answer:

olga55 [171]3 years ago

4 0

Answer:

The volume of the prism is of 1368 cubic m.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism is the multiplication of the lengths of its dimensions.

In this question:

Dimensions of 8m, 9m and 19m. So

8*9*19 = 1368.

Dimensions in meters, so volume in cubic meters.

The volume of the prism is of 1368 cubic m.

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Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)

Amanda [17]

Answer:

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

$f_x(x,y,z)=4x\cos (y-z)$

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

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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3 years ago

Find the sum of 2/6 +7/6

ladessa [460]

Answer:

your answer is 9/6, which simplifies to 3/2, or 1 1/2

Step-by-step explanation:

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2 years ago

(10x-20) (6x+8) what is x?

Lilit [14]

X= 2 and x= -8/6 if you make it = 0
(10x-20)(6x+8)=0
10x-20=0
10x=20
x=2
6x+8=0
6x=-8
x=-8/6

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3 years ago

What is a real situation that would be represented by <br> a+3

spin [16.1K]

A is just a variable to cover up any number you want. <span>a can be anything you want, such as the money in your bank account.
a+3
a=200
200+3</span>

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2 years ago

if a car travelling 60 mph can stop in 200ft, how many feet will it take the same car to stop when it is travelling 36 mph?

bezimeni [28]

It will take 120 feet for the 36mph car to stop

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2 years ago