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2 years ago

A tank is filling with water after 2 minutes

Mathematics

2 answers:

Rus_ich [418]2 years ago

6 0

Did you not type the full question?

8_murik_8 [283]2 years ago

5 0

Answer:

Are you ok? Do you need the call 911, or is this an actual question?

Step-by-step explanation:

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Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui

Vesnalui [34]

<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box

= Area of the base + 4 x ( Area of the adjacent faces)

= S x S + 4 ( S x H) = S² + 4 SH ..... (1)

Also, Area of the box = S x S x H = S²H

⇒ S²H = 2000

$\implies H = \frac{2000}{S^2}$

Substituting the value of H in (1), we get:

$A = S^2 + 4 SH = S^2 + 4 S(\frac{2000}{S^2}) = S^2 + (\frac{8000}{S})\\\implies A = S^2 + (\frac{8000}{S})$

Now, to minimize the area put :

$(\frac{dA}{dS} ) = 0 \implies 2S - \frac{8000}{S^2} = 0\\\implies S^3 = 4000\\\implies S = 15.874 \approx 16 cm$

Putting the value of S = 15.874 cm in the value of H , we get:

$\implies H = \frac{2000}{S^2} = \frac{2000}{(15.874)^2} = 7.8937 cm$

Hence, the dimensions of the given rectangular box are:

L = 15.874 cm

B = 15.874 cm

H = 7.8937 cm

3 0

3 years ago

The pattern 2, 5, 17, ________, ________ follows the rule multiply by 4, then subtract 3. What are the next two terms?

vitfil [10]

Answer:

None of the answer choices.

Step-by-step explanation:

The pattern to this problem is multiply by 4, and subtract 3. However when doing 17 * 4, you get 68. Look how both of the answer chouces start with 68, and we haven't even subtracted 3 yet. This shows that the answer choices are wrong.

<u>Correct Answer: 65, 257</u>

8 0

2 years ago

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Paula used these steps to solve an equation:

Nata [24]

Answer: Steps 4 and 5

Step-by-step explanation:

6 0

3 years ago

How do you turn 32/3 into a mixed number

Natalka [10]

You divide the numerator by the denominator, meaning you divide 32 by 3.

6 0

3 years ago

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Suppose you borrow $500 and you plan to pay it back all at once in 5 years. You are charged 2% interest compounded monthly.

Mashutka [201]

Answer: $553

Step-by-step explanation: 500(1.0016666)^60

500(1.10507451358)

552.537256789

$553

6 0

3 years ago