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atroni [7]
3 years ago
8

A tree has a circumference of 16 ft. Calculate the volume of wood it contains if the tree is 10ft tall. Round your answer to the

nearest whole number.
a0 cubic feet
Mathematics
1 answer:
Veronika [31]3 years ago
7 0

Answer:

Step-by-step explanation:

The circumference of the tree is the distance around the tree's circular top. The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

If the tree has a circumference of 16 ft, it means that

2πr = 16

πr = 16/2 = 8

r = 8/π

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

if the tree is 10ft tall, then the volume of wood it contains is

Volume = π × (8/π)² × 10

Volume = 64/π × 10

Volume = 64/3.14 × 10

Volume = 204 cubic feet

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A professora Luísa observou que o numero de meninas de turma dividido pelo numero de meninos dessa turma e 0,48. Qual e o menor
saw5 [17]

Respuesta:

37 estudiantes

Explicación paso a paso:

El número de niños dividido por el número de niñas = 0,48

Dejar :

x = número de niños; y = número de niñas

Tenemos ;

x / y = 0,48

Conversión a decimal;

0.48 es equivalente a 48/100

Reduciendo a la forma más simple:

48/100 = 12/25

Comparando:

x / y = 12/25

x = 12; y = 25

El menor número posible de estudiantes:

x + y = 12 + 25 = 37 estudiantes

5 0
3 years ago
At a sale this week, a desk is being sold for 128.80. This is a 72% discount from the original price. What is the original price
wel

Answer:

$460

Step-by-step explanation:

If the 128.80 is the price of the desk after a 72% discount, it means that 128.80 is 100-72=28% of the original price.

From here, we can divide 128.80 by 28 to find what 1% of the price is then multiply the value by 100 to find 100%, or the original price.

128.80/28 = 4.6

4.6 x 100 = 460

Original price = $460

Hope this helped!

6 0
2 years ago
Solve for :<br>(x+3)/2=6​
Marianna [84]

Answer:

x=9

Step-by-step explanation:

(x+3)/2=6​

Multiply each side by 2

2*(x+3)/2=6*2

x+3 = 12

Subtract 3 from each side

x+3-3 = 12-3

x = 9​

5 0
3 years ago
Write a quadratic function f(x) for the area of a rectangle length x+5 width 3x-7
Semmy [17]
The area of a rectangle is the product of its length and width.
l=x+5 \\&#10;w=3x-7 \\ \\&#10;A=lw=(x+5)(3x-7)=3x^2-7x+15x-35=3x^2+8x-35 \\ \\&#10;\boxed{f(x)=3x^2+8x-35}
7 0
3 years ago
The value of a new truck decreases exponentially at a rate of 4.8% per year. If the purchase price of the new cars $42,000, how
Usimov [2.4K]

The worth of the car after it is paid off 5 years later given the rate of exponential depreciation is $32,842.34.

<h3>What is the worth of the car?</h3>

When the car declines in value, it means that the car is depreciating. The formula that can be used to determine the value of the car with the depreciationn rate is:

FV = P (1 - r)^n

  • FV = Future value
  • P = Present value
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$42,000 x (1 - 0.048)^5 = $32,842.34

To learn more about future value, please check: brainly.com/question/18760477

7 0
2 years ago
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