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3 years ago

5

The scale for the triangle below is ¼ in : 6 in. Find the height of the actual triangle.

2 answers:

Harrizon [31]3 years ago

7 0

Answer:

108 is the answer

I just did this assignment

stepladder [879]3 years ago

5 0

The height would be 108 inches. the base would be 156 inches. I figured this bc the 1/4 is half of 1/2 so if 1/4 is 6inches 1/2 would be 12 inches

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What is the y intercept of the equation shown below? <br><br> a -1/2<br> b -2<br> c 0<br> d 4

Anon25 [30]

It’s going to be -2 because the y intercept is when x=0.

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3 years ago

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

A large carton of milk is 72 ounces. How

agasfer [191]

Answer: not here!

Step-by-step explanation: 72 ounces is 9 cups! (Divide by 8) (Assuming you mean US cups)

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3 years ago

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In the year 2012, 12\%12%12, percent of the residents of the US moved to a different residence. Suppose that several census work

yan [13]

Answer: approximately normal (c) trust me-khan academy

Step-by-step explanation:

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3 years ago

Value expression of 3^5 / 3^3

suter [353]

Answer:

9

Step-by-step explanation:

3^5 = 243

3^3 = 27

243 / 27 = 9

Hope this helps :)

3 0

3 years ago