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3 years ago

13

Solve for c. 36+c=54 Enter your answer in the box.

2 answers:

Vinil7 [7]3 years ago

5 0

C = 18

Because 36 + 18 = 54.

kondaur [170]3 years ago

4 0

C will be equal to 18

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What is the value of 4(25-5)?

sweet [91]

First you subtract 25 from 5 which equals 20 then you multipliy 4 to 20 and you get 80...so 80 is your solution.

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3 years ago

Preform the indicated operation.<br> 4/11 ÷ 4/9

BartSMP [9]

Answer:

0/8

Step-by-step explanation: i tried my best

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3 years ago

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The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i

kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.

Step-by-step explanation:

Given surface area of a right circular cone of radious r and height h is,

$S=\pi r\sqrt{r^2+h^2}$

and volume,

$V=\frac{1}{3}\pi r^2 h$

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,

$f(r,h)=\frac{1}{3}\pi r^2 h$

subject to,

$g(r,h)=\pi r\sqrt{r^2+h^2}=8\hfill (1)$

We know for maximum volume $r\neq 0$ . So let $\lambda$ be the Lagranges multipliers be such that,

$f_r=\lambda g_r$

$\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)$

And,

$f_h=\lambda g_h$

$\implies \frac{1}{3}\pi r^2=\lambda \frac{\pi rh}{\sqrt{r^2+h^2}}$

$\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)$

Substitute (3) in (2) we get,

$\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)$

$\implies h^2=2r^2$

Substitute this value in (1) we get,

$\pi r\sqrt{h^2+r^2}=8$

$\implies \pi r \sqrt{2r^2+r^2}=8$

$\implies r=\sqrt{\frac{8}{\pi\sqrt{3}}}\equiv 1.21252$

Then,

$h=\sqrt{2}(1.21252)\equiv 1.71476$

Hence largest volume,

$V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114$

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3 years ago

If x+y=<br> = 12 and x = 2y, then x =<br> O<br> 2<br> 06<br> 08<br> 10

kenny6666 [7]

Answer:

2y + y = 12

3y = 12

y = 4

now , x = 2y

x = 2 ( 4 )

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hope that helps ✌

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3 years ago

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Simplify without the absolute value |x+3| ; if x>2

inna [77]

Answer:

$x+3$ if $x>2$

Step-by-step explanation:

Recall some following basic ideas about absolute value:

$|0|=0$ or I guess $-(0)=0$

$|3|=3$

$|-3|=-(-3)$ or just $3$ but there is a reason why I wrote it the way I did.

You see that the absolute value returned the same value if the value was positive.

You see that the absolute value returned the opposite value if the value was negative.

You can include 0 in either.

Let's look at $|x+3|$ alone for a second.

* $|x+3|=x+3$ if $x+3$ is positive or zero.

When is $x+3$ positive or zero? [greater than or equal to 0]

$x+3\ge 0$

Subtract 3 on both sides

$x\ge -3$

* $|x+3|=-(x+3)$ if $x+3$ is negative or zero.

When is $x+3$ negative or zero? [less or equal to 0]

$x+3\le 0$

Subtract 3 on both sides

$x\le -3$

So looking at the bullet points (the *), $x>2$ fits into the first inequality.

Therefore, $|x+3|=x+3$ .

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3 years ago