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Vesnalui [34]
2 years ago
14

The density of the American white oak tree is 752 kilograms per cubic meter. If the trunk of an American white oak tree has a ci

rcumference of 4.5 meters and the height of the trunk is 8 meters, what is the approximate number of kilograms of the trunk.
Mathematics
2 answers:
iVinArrow [24]2 years ago
8 0
Here I hope this helps you out

Temka [501]2 years ago
8 0

ANSWER:

We know that,

C = πd

  • 4.5/π = d
  • 2.25/π = r ...(1)

Now, Volume of cylindrical tree = π(2.25/π)²8

  • π × 5.0625/π² × 8
  • 5.0625/3.14 × 8
  • 12.89m³

And Density = Mass/Volume.

Mass = Density × Volume

Mass = 752 × 12.89

So, Mass = 9,693.28kg.

Hence, the approximate number of kilograms of the trunk is 9693.28kg.

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If the sum of six consecutive even integers is 306, what is the smallest of the six integers
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Rewrite 14 1/3 as an improper fraction
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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel
Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

<u><em>Solution:</em></u>

The speed is given by formula:

speed = \frac{distance}{time}

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 1260}{60}

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 2010}{90}

The speed of the train was the same in both cases.

Equate both speeds

\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}

\frac{x+630}{30} = \frac{x+1005}{45}

45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25

Thus speed of train is 25 meter per second

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If you were to solve this inequality,<br> do you need to flip the Inequality symbol?
Pavlova-9 [17]

Answer: no

I would not flip the inequality symbol

8 0
3 years ago
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