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3 years ago

18 tens 20 ones = hundreds

Mathematics

2 answers:

mariarad [96]3 years ago

7 0

= 200 18*10=180+20=200

bekas [8.4K]3 years ago

6 0

Makes 200 so 2 hundreds

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B-4/6 how do I solve this? It's hard

serious [3.7K]

if you are looking for.... 2(B-4)= (6)b
2b - 8 = 6b
2b - 6b= 8
-4b=8
so b= -2

the question is b-4 divided by 6 equals b/2

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2 years ago

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If

makvit [3.9K]

Answer: speed is 540 km/h

Step-by-step explanation: Lets mark speed as v.

Because distenace is same, you can mark 6 h · 900 km/h = 10 h · v

and v = 5400 km / 10 h = 540 km/h.

Or using inverse proportions : 10 h / 6 h = v / 900 km/h .

Before multiplying you turn lastproportion around :

10 h / 6 h = 600 km/ h / v ,which gives 10 v = 6 · 900 km/h

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2 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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2 years ago

Need Help

Fofino [41]

Answer:

$ 14.9

Step-by-step explanation:

we can create an equation

use variables:

pies = p

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3.5 (4) + 0.45(2)

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Answer:B.

Step-by-step explanation: I took the same class

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2 years ago

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