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Alex17521 [72]
3 years ago
10

Apply the technique of using nets to create an equation to solve for the surface area of the rectangular prism. -- Place answers

not used in the extra spaces provided below the table. ITEMBANK: Move to Bottom 2 x 2 x 22 x 2 x 32 x 2 x 62 x 3 x 672 cm284 cm2
Mathematics
1 answer:
Afina-wow [57]3 years ago
7 0
The volume of a rectangular prism is simply the product of the length, the width, and the height. This is from the general formula for the volume of a prism which is the product of the area of the base and the height.  If you know the measurements of the length, width, and height, you can easily calculate the volume.
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Can you help me with this question?
Rufina [12.5K]

Answer:

  16.2

Step-by-step explanation:

The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.

Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:

  BC/FC = DC/AC

  BC = FC(DC/AC) = 21.6(7.2/9.6)

  BC = 16.2 . . . . matches the first choice

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3 years ago
cattie started with 12 ounces of water when she began her walk when she finished walking she had 2 1/4 ounces of water left how
Blizzard [7]
It is 9 3/4 because 12- 2 1/4 is 9 /14
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3 years ago
Combining transformations result in interesting designs.<br><br> True False
aev [14]
True is the correct answer Hope this helped =)
7 0
3 years ago
Laboratory tests show that the lives of light bulbs are normally distributed with a mean of 750 hours and a standard deviation o
BartSMP [9]

Answer:

34

Step-by-step explanation:

5 0
3 years ago
In Exercises 3–10, use the Chain Rule to calculate the partial derivatives. Express the answer in terms of the independent varia
sashaice [31]

I'll use subscript notation for brevity, i.e.

\dfrac{\partial f}{\partial x}=f_x

3.

f(x,y,z)=xy+z^2\implies\begin{cases}f_x=y\\f_y=x\\f_z=2z\end{cases}

x(r,s)=s^2\implies\begin{cases}x_r=0\\x_s=2s\end{cases}

y(r,s)=2rs\implies\begin{cases}y_r=2s\\y_s=2r\end{cases}

z(r,s)=r^2\implies\begin{cases}z_r=2r\\z_s=0\end{cases}

By the chain rule,

f_r=f_xx_r+f_yy_r+f_zz_r=2xs+4zr=2s^3+4r^3

f_s=f_xx_s+f_yy_s+f_zz_s=2ys+2xr=6rs^2

4.

x(r,s,t)=r+s-2t\implies\begin{cases}x_r=1\\x_s=1\\x_t=-2\end{cases}

y(r,s,t)=3rt\implies\begin{cases}y_r=3t\\y_s=0\\y_t=3r\end{cases}

z(r,s,t)=s^2\implies\begin{cases}z_r=0\\z_s=2s\\z_t=0\end{cases}

By the chain rule,

f_r=f_xx_r+f_yy_r+f_zz_r=y+3xt=3rt+3r+3s-6t^2

f_s=f_xx_s+f_yy_s+f_zz_s=y+4zs=3rt+4s^3

f_t=f_xx_t+f_yy_t+f_zz_t=-2y+3xr=3r+3s-12rt

8 0
3 years ago
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