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3 years ago

What is 32.00 × 0.075 in decimal form

Mathematics

2 answers:

enyata [817]3 years ago

7 0

2.4 so $2.40
hope that helps

gogolik [260]3 years ago

5 0

Your answer in decimal form is 2.4 Just multiply regularly, then count how many numbers are behind the decimals, then put the decimal that many spaces to the left, if that makes sense. Glad I could help :)

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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

Convert y=9 from rectangular to polar form

Crazy boy [7]

Answer:

r = 9/sin Ф or r = 9 csc Ф

Step-by-step explanation:

The polar form is represented as:

x = r cos Ф and

y = r sin Ф

We are given:

y = 9

Putting value in y = r sin Ф

9 = r sin Ф

=> r = 9/sin Ф

1/sin Ф = csc Ф

or, r = 9 csc Ф

5 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLIEST TO ANSWER

Anika [276]

its x4 got it thanks give me brainliest

7 0

3 years ago

If a/b = 2 /5, b/c = 3 /8, a/c =??

scoray [572]

Answer:

3/20

Step-by-step explanation:

By question it's given that ,

$\implies \dfrac{a}{b}=\dfrac{2}{5}$

$\implies \dfrac{b}{c}=\dfrac{3}{8}$

And we need to find out the value of a/c .For that Multiply both of them , we have ;

$\implies \dfrac{a}{b} \times\dfrac{b}{c}=\dfrac{2}{5}\times \dfrac{3}{8} \\\\\implies \dfrac{a}{c}= \dfrac{3}{20}$

Hence the required answer is 3/20 .

8 0

2 years ago

Simplify....... -9-6c-j

marin [14]

Answer: −6c−j−9

Step-by-step explanation:

3 0

3 years ago