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3 years ago

A polygon has 50 sides

Mathematics

2 answers:

Veronika [31]3 years ago

8 0

Answer:

i dont know but hi

Step-by-step explanation:

i had to do this to get free pro

zalisa [80]3 years ago

4 0

Answer:

.2 degrees

Step-by-step explanation:

180-170 is 10

10/50 is .2

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A salad costs $2. a steak dinner cost 6 times as much. how much does the steak dinner cost?

sesenic [268]

D 12
multiply six times two answer is 12

7 0

3 years ago

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h

mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere $=\frac{2}{3}\pi r^3$

Volume of a Cylinder $=\pi r^2 h$

Therefore:

The Volume of the Solid formed

$=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Area of the Hemisphere = $2\pi r^2$

Curved Surface Area of the Cylinder = $2\pi rh$

Total Surface Area=

$2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh$

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.

Therefore total Cost, C

$=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh$

Recall: $h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Therefore:

$C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}$

The minimum cost occurs at the point where the derivative equals zero.

$C^{'}=\frac{-27840+32\pi r^3}{3r^2}$

$When \:C^{'}=0$

$-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518$

Recall:

$h=\frac{4640}{\pi r^2}-\frac{4r}{3}\\h=\frac{4640}{\pi*6.518^2}-\frac{4*6.518}{3}\\h=26.074 feet$

Therefore, the dimensions that will minimize the cost are:

Radius =6.518 feet

Height = 26.074 feet

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2 years ago

Rachel went to the mall to buy new clothes. Macy's was having a sale:4 dresses for $84. Rachel decided to buy one dress. how muc

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3 0

2 years ago

PLEASE HELP I GIVE THANKS

dezoksy [38]

For cylinders to be similar, the ratio between their height and radius must be equal.Our cylinder's ratio is :
$\frac { length }{ radius } =\frac { 15 }{ 3 } \\ =5$

The only cylinder with same ratio is the one at the choice B.

$\frac { length }{ radius } \frac { 25 }{ 5 } =5$

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3 years ago

A fee of 12.50 is deducted each month from Aubryn's bank account. She currently has a balance of $75.00 in her account. She must

Jlenok [28]

What is the question

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3 years ago