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Valentin [98]
3 years ago
12

What did Archimedes discover about the centroid of a triangle? (Site 1)

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0

Answer:

Archimedes showed that the point where the medians are concurrent (the centroid) is the center of gravity of a triangular shape of uniform thickness and density

Step-by-step explanation:

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$122, because 11x14= 154, then 154-32=122. 
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What is the simplified form of the following expression? 2 startroot 18 endroot 3 startroot 2 endroot startroot 162 endroot
nataly862011 [7]

The simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.

<h3>What is the simplified form of an equation?</h3>

The simplified form of an equation is the simplest way of expressing the equation, by applying the required operations of mathematics.

The equation provided in the problem is,

2\sqrt{18}+3\sqrt{2}+\sqrt{162}

Let the simplified form of the above expression is <em>n. </em>Thus,

n=2\sqrt{18}+3\sqrt{2}+\sqrt{162}

Rewrite the equation to solve it further as,

n=2\sqrt{3\times3\times2}+3\sqrt{2}+\sqrt{9\times9\times2}\\n=2\sqrt{3^2\times2}+3\sqrt{2}+\sqrt{9^2\times2}

The square of the term cancel out the square root of it. Thus,

n=2\times3\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=6\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=(6+3+9)\sqrt{2}\\n=18\sqrt{2}

Thus, the simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.

Learn more about the simplified form here;

brainly.com/question/1597694

4 0
2 years ago
From end zone to end zone, a football field is 120 yards long. How long is the football field in feet?
cricket20 [7]

Answer:

The football field is 360 feet long.

Step-by-step explanation:

Remember, there are 3 feet in 1 yard.

1 yard = 3 feet

To find out how long the football field in feet, we must convert 120 yards into feet.

To convert yards to feed, multiply the number of yards by 3 (3 feet per yard).

120 × 3 = 360

The football field is 360 feet long.

I hope this helps. :)

4 0
3 years ago
Read 2 more answers
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