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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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An integer is chosen random between 1 to 100. find the probability that it is divisible by 8​
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Answer: 0.12

x is the number which is chosen

The number of ways to choose x from 1 to 100 is 100 (ways)

because x  is divisible by 8​ => x ∈ {8; 16;...; 96}

=>  the number of terms divisible by 8 from 1 to 100 is (96 - 8)/8 + 1 = 12

the number of ways to choose x which is divisible by 8​ is 12 (ways)

=>  the probability that x is divisible by 8​ is 12/100 = 0.12

Step-by-step explanation:

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(2x-1)(2x^2-2x) I THINK
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8 0
3 years ago
What is the inverse of the function y= x^2-12
aalyn [17]

Answer:

y=\sqrt{x+12}

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7 0
3 years ago
Marlina received her salary on Friday. She spent one-half of her salary on rent and then spent $338 on her electric and water bi
Alenkinab [10]

Answer:

$654

Step-by-step explanation:

Let the amount of money Marlina's received for her salary be x.

We know that she spent 1/2 of her salary on rent and then $338 on her electric and water bill. So, after this, she will have:

x-\frac{1}{2}x-338

Left of her salary.

Next, she spent one half of what was left. So, it will be one-half of the equation. Therefore, she will have spent:

x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)

Finally, she spent $56 for gas. So, we will subtract 56:

x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)-56

And we know that after all of the expenses, she will have $102 left. Therefore:

x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)-56=102

We want to know how much Marlina spent on rent. So, let's find her salary x first.

First, let's distribute the 1/2:

x-\frac{1}{2}x-338-\frac{1}{2}x+\frac{1}{4}x+169-56=102

Combine like terms:

(x-\frac{1}{2}x-\frac{1}{2}x+\frac{1}{4}x)+(-338+169-56)=102

Evaluate:

\frac{1}{4}x-225=102

Add 225 to both sides:

\frac{1}{4}x=327

Multiply both sides by 4:

x=\$ 1308

Therefore, Marlina received a total of $1308 for her salary.

We know that she spent half of her salary on rent. Therefore, the amount she spent on rent is:

r=\frac{1}{2}(1308)=\$ 654

And we're done!

7 0
3 years ago
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