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3 years ago

If x = y, y = 2 then 3x =

Mathematics

1 answer:

kenny6666 [7]3 years ago

6 0

Answer:

x=y

y=x

y=2

x=2

(3)(2)

3 times 2 is 6

Step-by-step explanation:

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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

A student records a physical property of a rock as 2.2N. Which physical property has the student measured?

Lorico [155]

I think weight, Newton’s maybe

6 0

3 years ago

The perimeter of a square is 20. Find the length of the diagonal

klemol [59]

Answer:

d≈7.07

Step-by-step explanation:

Using the formulas

P=4a

d= \sqrt{2} a

Solving ford

d= \sqrt{2} P/4=2·20 /4≈7.07107

8 0

3 years ago

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If the store paid $75 for a clarent and sold it for 100

IceJOKER [234]

Answer:

Is this the full question?

Step-by-step explanation:

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3 years ago

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Solve for b2 in A=1/2 h(b1+b2), if A=16, h=4, and b1=3

icang [17]

Answer:

$b_{2}$ = 5

Step-by-step explanation:

Substitute the given values into the formula

16 = $\frac{1}{2}$ × 4(3 + $b_{2}$ )

16 = 2(3 + $b_{2}$ ) ( divide both sides by 2 )

8 = 3 + $b_{2}$ ( subtract 3 from both sides )

5 = $b_{2}$

4 0

3 years ago