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2 years ago

What is the area of the base of a paper cone, in square inches, with a height of 15 inches and a volume of 900 cubic inches?

Mathematics

1 answer:

Mamont248 [21]2 years ago

5 0

Answer:

180 sq. in.

Step-by-step explanation:

The formula for the volume of a circular cone is V = (πr^2h)/3

So, 900 = (15πr^2)/3

2700 = 15πr^2

180 = πr^2 = area of the circular base

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last year 120 students recived high honers at graduation. this year 144 students recived high honers. what was the percent incre

boyakko [2]

Answer:

12.5%

Step-by-step explanation:

what I done was subtract 120 from 144 which will leave 24 then I find the percentage.

This makes it 3/24. When you divide the fraction out, you get 0.125. To turn that into a percentage, you simply multiply by 100. 0.125*100=12.5% you can check this by taking 12.5% of 24, which will give you an answer of 3

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3 years ago

Read 2 more answers

The radioactive element americium-241 has a half-life of 432 years. How many years will it take a 10 gram mass of americium-241

geniusboy [140]

<h2>Answer: 816 years</h2>

This problem can be solved using the <u>Radioactive Half Life Formula: </u>

<u />

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=2.7g$ is the final amount of the material

$A_{o}=10g$ is the initial amount of the material

$t$ is the time elapsed (the quantity we are asked to find)

$h=432y$ is the half life of americium-241

Knowing this, let's find $t$ from (1):

$2.7g=(10g).2^{\frac{-t}{432y}}$

$\frac{2.7g}{10g}=2^{\frac{-t}{432y}}$

$0.27g=2^{\frac{-t}{432y}}$

Applying natural logarithm in both sides:

$ln(0.27g)=ln(2^{\frac{-t}{432y}})$

$-1.309=-\frac{t}{432y}ln(2)$

$-t=\frac{(-1.309)(432y)}{0.693}$

<u></u>

<u>Finally:</u>

$t=816y$

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2 years ago

W is 80%of y. How many singers were there

sergey [27]

Where did you get the singers from? And what does 80% of y have to do with singers?

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2 years ago

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amid [387]

Answer:

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Step-by-step explanation:

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2 years ago

How to find slope using a graph. <br>

Pani-rosa [81]

Answer:

See below.

Step-by-step explanation:

Find two points on the graph that are easy to read.

Start at one point. You must now go to the other point, but you can only move vertically (up and down) and horizontally (right and left.)

Move vertically toward the other point. Count the number of units you moved. Up is positive, and down is negative. This is the rise.

Now move horizontally to the second point and count the units. Right is positive and left is negative. This is the run.

slope = rise/run

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2 years ago