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3 years ago

What's 755,082 rounded to the nearest 10,000

Mathematics

2 answers:

mihalych1998 [28]3 years ago

4 0

The answer is 760,000

UNO [17]3 years ago

3 0

It's rounded to 760,000

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Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 c

LuckyWell [14K]

When the pentagon is drawn to scale then its value of x will be x=3.3 cm

<h3>What is the pentagon?</h3>

The pentagon is defined as the shape having five sides connected together.

Now it is given in the question that

For small pentagone

Bottom =x

left =7 cm

For larger pentagone

Bottom=7cm

left=15cm

Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.

For smaller pentagon

$\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{x}{7}$

For bigger pentagon

$\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{7}{15}$

Since both, the ratio is the same

$\dfrac{x}{7} =\dfrac{7}{15}$

$x=\dfrac{49}{15} =3.3\ cm$

Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm

To know more about Pentagone follow

brainly.com/question/4804571

4 0

2 years ago

What is the best estimate of 5 1/3 x 1 4/5 x 6 7/8 x 3 2/5 ? <br> 144 <br> 180 <br> 210 <br> 336

Strike441 [17]

For an estimate, the closest is 210

8 0

2 years ago

Use the Chain Rule (Calculus 2)

atroni [7]

1. By the chain rule,

$\dfrac{\mathrm dz}{\mathrm dt}=\dfrac{\partial z}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial z}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}$

I'm going to switch up the notation to save space, so for example, $z_x$ is shorthand for $\frac{\partial z}{\partial x}$ .

$z_t=z_xx_t+z_yy_t$

We have

$x=e^{-t}\implies x_t=-e^{-t}$

$y=e^t\implies y_t=e^t$

$z=\tan(xy)\implies\begin{cases}z_x=y\sec^2(xy)=e^t\sec^2(1)\\z_y=x\sec^2(xy)=e^{-t}\sec^2(1)\end{cases}$

$\implies z_t=e^t\sec^2(1)(-e^{-t})+e^{-t}\sec^2(1)e^t=0$

Similarly,

$w_t=w_xx_t+w_yy_t+w_zz_t$

where

$x=\cosh^2t\implies x_t=2\cosh t\sinh t$

$y=\sinh^2t\implies y_t=2\cosh t\sinh t$

$z=t\implies z_t=1$

To capture all the partial derivatives of $w$ , compute its gradient:

$\nabla w=\langle w_x,w_y,w_z\rangle=\dfrac{\langle1,-1,1\rangle}{\sqrt{1-(x-y+z)^2}}}=\dfrac{\langle1,-1,1\rangle}{\sqrt{-2t-t^2}}$

$\implies w_t=\dfrac1{\sqrt{-2t-t^2}}$

2. The problem is asking for $\frac{\partial z}{\partial x}$ and $\frac{\partial z}{\partial y}$ . But $z$ is already a function of $x,y$ , so the chain rule isn't needed here. I suspect it's supposed to say "find $\frac{\partial z}{\partial s}$ and $\frac{\partial z}{\partial t}$ " instead.