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4 years ago

How many 10's in 1900?

Mathematics

2 answers:

Veseljchak [2.6K]4 years ago

8 0

Multiply 10 and 190 see if it's right

Gwar [14]4 years ago

3 0

Or you could divide 10 to 1900 and you get 190.

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A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=\frac{25}{\pi r^2}$

$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

Now,

$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0

3 years ago

Please help quick no Tiny links please plz plz help quick due soon I will give points no Links

Lerok [7]

Answer:

I think its B but im not sure

Step-by-step explanation:

6 0

3 years ago

During 20 spins, a spinner landed on red 5 times. If you spin the spinner once, what is the

TiliK225 [7]

Answer:

0.25 ( $\frac{1}{4}$ or 25%)

Explanation:

5 is 25% of 20, so the Red sector has a 25% chance of being landed on!

5 0

3 years ago

Can anyone help just these four algebra problems?

pickupchik [31]

You would distribute multiply every thing inside the parenthesis by the number on the out side of it on the the left the go to the other side of the addition sign and do the same then combine like terms

8 0

3 years ago

Suppose a city with population 900,000 has been growing at a rate of 7% per year. If this rate continues, find the population of

Y_Kistochka [10]

Answer:

Future population in 19 years = 3,254,580 people (Approx.)

Step-by-step explanation:

Given:

Current population of city = 900,000

Growth rate of population = 7%

Number of year = 19

Find:

Future population in 19 years

Computation:

A = P[1+r]ⁿ

Future population = Current population[1+g]ⁿ

Future population in 19 years = 900,000[1+7%]¹⁹

Future population in 19 years = 900,000[1+0.07]¹⁹

Future population in 19 years = 900,000[1.07]¹⁹

Future population in 19 years = 900,000[3.6162]

Future population in 19 years = 3,254,580

Future population in 19 years = 3,254,580 people (Approx.)

6 0

3 years ago