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ollegr [7]
3 years ago
12

What is the side length of the largest square that can fit into a circle with a radius of 5 units?

Mathematics
1 answer:
Mariana [72]3 years ago
5 0
So 1st consider that it's a square! That's very important. So for a square, all 4 sides are equal.

And now considering that the given information is the diameter. So any angle made at the circle extended from the 2 points of diameter gives an angle of 90°

Now consider one triangle. So we already know that 2 sides of the triangle are equal (because they are 2 sides of a square) , has a side of 10 (diameter) and and angle of 90°. So remaining 2 angles are 45°

Now solve it by applying

\sin(45) \: \: \: \: = x \div 10 \\ (1 \div \sqrt{2} ) = (x \div 10) \\ 10 \div \sqrt{2} \: = x
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2 years ago
A box contains 10 balls, of which 3 are red, 2 are yellow, and 5 are blue. Five balls are randomly selected with replacement. Ca
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Answer:

The required probability is 0.1.

Step-by-step explanation:

red balls = 3

yellow balls =  2

blue balls = 5

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2 years ago
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Answer:

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8 0
3 years ago
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Answer:

Step-by-step explanation:

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True.

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True.  The sum of all interior angles = 180

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Can't tell from info given.  

  • Measure of angle J K L + measure of angle J L K = 90 degrees

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