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3 years ago

Free Cookie or brainliest

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

6 0

Answer:

C. Point C,

Step-by-step explanation:

The squre root of 68 is 8.24 and most likely to be 8 so letter C.

Thank you!!

Bess [88]3 years ago

3 0

Answer: point C

Step-by-step explanation: the square root of 68 is 8.246and it keeps going with other digits

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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,

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

3 0

3 years ago

How to find the price of something before a discount?

LuckyWell [14K]

Discount prices/the discount
E.g.the new price of the book is 75 which has a discount of 75%
The original price = 75/0.75=100

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2 years ago

78/25 as a terminating decimal

Kazeer [188]

To write $\frac{78}{25}$ as a terminating decimal we will turn this fraction to a decimal. To do this we will divide the numerator by the deliminator and the result will be the decimal.Then we will check if it is a terminating decimal or repeating decimal. Lets do it:-

$\frac{78}{25}$
78 ÷ 25 = 3.12

3.12 is a terminating decimal.

So, $\frac{78}{25}$ as a terminating decimal is 3.12.

Hope I helped ya!!

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3 years ago

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The area of a rectangle is 14 square units. It has side lengths xxx and yyy. Given each value for xxx, find yyy.

Korolek [52]

Answer:

does not make sense

Step-by-step explanation:

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3 years ago

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Solve the problem down below:<br><br><br><br> ty :P