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Elina [12.6K]
3 years ago
13

I will give you brainiest just pls answer this question!!!

Mathematics
2 answers:
Veronika [31]3 years ago
7 0
The correct unit price is $1.19 per pair, hope this helps!
navik [9.2K]3 years ago
3 0

Answer:

The correct unit price is $1.19 per pair of gloves. She made the mistake of dividing the total price by 3 instead of 3 dozen(which is 36).

Step-by-step explanation:

hope that helps!!!

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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
2 years ago
There are 10 multiple choice questions in an examination. first 4 have 5 choices each and remaining have 4 choices each. how man
stira [4]

2560000 sequences of answers are possible.

<em><u>Explanation</u></em>

Total number of questions = 10

First 4 questions have 5 choices each and remaining (10-4)= 6 questions have 4 choices each.

So, the possible sequences of answers for first 4 questions = 5^4 = 625

and the possible sequences of answers for remaining 6 questions = 4^6=4096

Thus, the total possible number of sequences of answers = (625 × 4096) = 2560000

5 0
3 years ago
Read 2 more answers
What is 8/3 plus 3/7
miskamm [114]
I believe that would equal 65/21

hope that helps!
3 0
3 years ago
Read 2 more answers
If a line has a slope of 3, what is the slope of a perpendicular line?
pashok25 [27]

Answer:

Slope of perpendicular line is -1/3

Step-by-step explanation:

The slope of the given line is 3 and we have to find the slope of the perpendicular line.

We know that the slope of two perpendicular lines are negative reciprocal of each other.

In other words if the slope of the line is m then then slope of the perpendicular line is -\frac{1}{m}

The reciprocal of 3 is \frac{1}{3}

Hence, negative reciprocal of 3 is -\frac{1}{3}

Therefore, the slope of perpendicular line is -1/3

C is the correct option.

6 0
3 years ago
Can you guys help me? I'm confusing
Kitty [74]
It is Confused * next time correct the word also can I have brainliest I am sooo so close to my next level/stage
8 0
3 years ago
Read 2 more answers
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