3 years ago

Grafiquen en el Sistema de Coordenadas Cartesianas la siguiente

Mathematics

1 answer:

nydimaria [60]3 years ago

5 0

Answer:

Step-by-step explanation:

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An open topped box is constructed as follows: A 24 in. x 24 in. square bottom has four identical squares cut off at each corner.

Arte-miy333 [17]

Answer:

Step-by-step explanation:

Given

square bottom area is $24\times 24\ in.^2$

Suppose x in. is cut from each corner to make a open box with maximum volume

New base area is $(24-x)\times (24-x) in.^2$

Volume of box

$V=(24-x)^2\times x$

Differentiate V w.r.t x to get maximum volume

$\frac{\mathrm{d} V}{\mathrm{d} x}=2\cdot (24-x)(-1)+1\cdot (24-x)^2$

Put $\frac{\mathrm{d} V}{\mathrm{d} x}=0$

$\left ( 24-x\right )\left [ -2x+24-x\right ]=0$

$\left ( 24-x\right )\left [ 24-3x\right ]=0$

$x=24,8$

but x=24 is not possible therefore x=8 will yield maximum volume

$V=(24-8)^2\cdot 8=2048\ in.^2$

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3 years ago

If YV= 28 in, find the length of VYX

stellarik [79]

Answer:

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Step-by-step explanation:

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3 years ago

IM SO LOST PLEASE HELP

LiRa [457]

Check the picture below.

$\bf \textit{lateral area of a cone}\\\\
LA=\pi r\stackrel{slant-height}{\sqrt{r^2+h^2}}~~
\begin{cases}
LA=539\pi \\
r=49
\end{cases}\implies 539\pi =\pi 49\sqrt{r^2+h^2}
\\\\\\
\cfrac{539\pi }{49\pi }=\sqrt{r^2+h^2}\implies 11=\sqrt{r^2+h^2}$