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3 years ago

Isabella is comparing the values below. Which list shows the values in descending order? 7.42, 7 79%, V48

Mathematics

1 answer:

Afina-wow [57]3 years ago

8 0

Answer:

778%, 7.42, and V48

Step-by-step explanation:

I think that is right

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White raven [17]

My graphing calculator says g(4) = f(2).

The 4th selection, x=4, is appropriate.

8 0

3 years ago

Read 2 more answers

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,

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

3 0

3 years ago

What is 3 multiplied by 1 8/11 as a mixed number or fraction

marishachu [46]

Answer:

57/11 or 5 2/11

Step-by-step explanation:

Convert 1 8/11 into an improper fraction: 1 8/11 = 19/11.

Next, multiply this 19/11 by 3, obtaining 57/11.

This mixed numer is an improper fraction.

If you wish to go further, convert 57/11 into a mixed number:

57/11 = 5 2/11

4 0

3 years ago

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Can you help me with this??

siniylev [52]

8*8 - 4*4*pi*(1/2) = 64 - 8*pi

6 0

3 years ago

Can you please solve this practice problem for me I really need assistance

Tom [10]

Answer:

Step-by-step explanation:

When you substitute (5,-19) for A you get -19=-21 which is incorrect, when you substitute it for B you get, -19=-13 which is also incorrect, for C you get -19=-14, D you get -19=-22, and finally for E you get the correct answer which is -19=-19. Hope this helps :)

3 0

3 years ago