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eduard
3 years ago
10

Round the decimal to a place of the underlined digit 5.657

Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer:

5.6

Step-by-step explanation:

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A cylindrical can, open at the top, is to hold 840 cm3 of liquid. Find the height and radius that minimize the amount of materia
ycow [4]

Answer:

the radius of the base is equal to x=2\sqrt[3]{\frac{105}{\pi } }

And the height is equal to:

y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }

Step-by-step explanation:

We write the volume function

f(x,y)=840=\pi x^{2} y where x is the radius of the base and y is the height of the cylinder

y=\frac{840}{\pi x^{2} }

The surface of a cylinder is given by

S(x)=\pi x^{2} +2\pi xy=\pi x^{2} +\frac{1680}{x} on the interval from 0 to infinity

We now determine the critical values by differentiating and making the equation equal to 0

f'(x)=2\pi*x- \frac{1680}{x^{2}} =\frac{2\pi x^{3}-1680}{x^{2} } =0

This equation have 2 complex solutions and one real solution

x=2\sqrt[3]{\frac{105}{\pi } }

For x=0 and infinity the equation goes to infinity also so the radius of the base is equal to x=2\sqrt[3]{\frac{105}{\pi } }

And the height is equal to:

y=\frac{840}{\pi (2\sqrt[3]{\frac{105}{\pi } })^{2} }

y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }

7 0
3 years ago
Jane bought a packet of 12 cards for $15.00 <br>What would be the average price of a card?
nignag [31]
12 cards = $15.00

1 card = $15.00 ÷ 12 = $1.25


Answer: $1.25
5 0
3 years ago
Read 2 more answers
The shadow of a flagpole at 10 a.m. is 4 feet. The shadow of a 7 foot person is 1.4 feet. How tall is the flagpole?
diamong [38]

Answer:

20 feet

Step-by-step explanation:

7/1.4=5

5*4=20

3 0
3 years ago
Read 2 more answers
If 8 cakes cost $62.40, how much would 3 cakes cost?
Ilya [14]

Answer:

<h2><em><u>$23.40 </u></em></h2>

Step-by-step explanation:

<em><u>Given,</u></em>

Cost price of 8 cakes = $62.40

<em><u>So,</u></em>

Cost price of 1 cake = $ \frac{62.40}{8}

<em><u>Therefore,</u></em>

Cost price of 3 cakes

= $(\frac{62.40}{8} × 3)

  • <em>[On dividing 62.40 by 8]</em>

= $(7.80 × 3)

  • <em>[On multiplying]</em>

= $23.40

<em><u>Hence,</u></em>

<em><u>The required cost of 3 cakes is $23.40 (Ans)</u></em>

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME..........
Dima020 [189]

Answer:

34.5?

Step-by-step explanation:

Grab 75 and subtract 6 from it. After that you divide 69 (the answer of 75-6) by 2. You then get 34.5

3 0
3 years ago
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