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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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Which of the following fractions is equivalent to 9/15?
creativ13 [48]

Answer:

B.) 36/60

Step-by-step explanation:

some

equivalent fractions of 9/15:

3/5 = 6/10 = 9/15 = 12/20 = 15/25 = 18/30 = 21/35 = 24/40 = 27/45 = 30/50 = 33/55 = 36/60

8 0
1 year ago
Read 2 more answers
The height of a lighthouse in Pensacola, Florida, is 150 feet. Standing next to the statue, Natalie casts a 1.1-foot shadow. She
iogann1982 [59]

30 feet

Step-by-step explanation:

  • Since Natalie is standing right next to the Penthouse, we can establish the ration between her height and the shadow she casts, which is;

           1.1 : 5.5

  • The two are related by a factor of 1/5
  • We can use this factor to establish the shadow cast by the penthouse;

       1/5 * 150

        = 30

Learn More:

For more about relationships by ratios check out;

brainly.com/question/11961256

brainly.com/question/12548098

#LearnWithBrainly

5 0
3 years ago
Pls Help i dont understand ittttttttttt
agasfer [191]

The given scale for the map means that a distance of 1 cm between two locations on the map corresponds to a real distance between them of 600,000 cm = 6 km.

So, if the distance between two places in reality is 87 km, on the map this would be represented by a distance of 14.5 cm, since

87 = 84 + 3

87 = 6 • 14 + 6 • (1/2)

87 = 6 • (14 + 1/2)

3 0
2 years ago
A family will travel 350 miles from their house in order to reach Dallas, TX. Which inequality can be used to find all possible
Flura [38]
Tje answer is c t < or equal to (350r)
5 0
3 years ago
Maurice buys a dozen of donuts on sale for $7.99 before tax.
adoni [48]

Answer:

$8.30

Step-by-step explanation:

7.99 + 4% = 8.30

5 0
3 years ago
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