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3 years ago

Ok HELP ME Im SO CONFUSED!!!

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

8 0

Answer: 4.32

Step-by-step explanation:

wholes = 3

tenths = 13

hundredths = 3

After regrouping

tenths = 3

wholes = 4

therefore the answer is 4.32

I hope this helped good luck!

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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

A recipe calls for 1 3/4 cups of sugar. How many cups of sugar are needed if only 3/8 of the recipe is being made?

Katen [24]

Answer: 9/16

Step-by-step explanation:

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3 years ago

Solve the following equation in terms of y. Remember to use inverse operations to isolate the variable you are solving for. 2x+3

Ierofanga [76]

2x+3y=6
subtract 2x from both sides.
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divide by 3 on all sides.
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3 years ago

How do you write 13/25 as a percentage

mariarad [96]

The fraction 13/25 is equivalent to 52 percent.
To workout this, divide the numerator by the denominator, sum this value to the integer part and multiply the result by 100%, so:
13/25 in percent = 13 ÷ 25 × 100% = 0.52 × 100% = 52%

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4 years ago

Read 2 more answers

(File attached) Show how you got the answer for brainliest

svet-max [94.6K]

Answer:

Step-by-step explanation:

in the first one 2,4,6,and 8 are equal meaning they all equal to 75. the other angles 1,3,5,and 7 equal 105 because 180 - 75 = 105

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3 years ago