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3 years ago

A fair coin is flipped 3 times. It lands facing heads up 2 out of 3 times.

Mathematics

1 answer:

irina [24]3 years ago

7 0

Answer:

asssnkkkffffffkkkii

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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

4 years ago

Ahmad spent $27 on fruit at the grocery store. He spent a total of $45 at the store. What percentage of the total did he spend o

Andrej [43]

Answer:

Step-by-step explanation:

$\frac{27}{45} \times 100/1\\= \frac{2700}{45}\\ \\=60\%$

5 0

3 years ago

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Round yo The nearest ten 834,692.<br> Help me please!!

Genrish500 [490]

The answer should be 834, 690

hope this helps!

8 0

3 years ago

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Help!!! <br> does anyone know how to simplify this expretion <br> j+1-2j-1+3j+1

Llana [10]

Answer:

2j+1

Step-by-step explanation:

Circle the first symbol in front of the j's and 1's

7 0

3 years ago

The perimeter of a rectangle is 50 cm. The length is 5 cm more than its breadth Find the length and breadth of the rectangle.

Pie

Answer:

Breadth = 10 cm

Length = 15 cm

Step-by-step explanation:

Let the breadth = x cm

Length = (x + 5) cm

Perimeter of a rectangle = 50 cm

2 *( length + breadth) = 50

2*(x + 5 + x) = 50

Combine like terms

2*(2x + 5) = 50

2*2x + 2*5 = 50

4x + 10 = 50

Subtract 10 from both sides

4x = 50 - 10

4x = 40

Divide both sides by 4

x = 40/4

x = 10

Breadth = x = 10 cm

Length = x +5 = 10 + 5 = 15 cm

8 0

3 years ago

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