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lyudmila [28]
3 years ago
5

Can someone explain the meaning of the Spiral of Theodorus?

Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

The Spiral of Theodorus is a construction of continuous right triangles, and each triangle has a side length of one representing the of the Pythagorean theorem, with the other sides filling in the spaces for the and in the theorem. hope that helped :)

Step-by-step explanation:

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Bryce measured a picnic area near the river and made a scale drawing. The scale of the
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Answer:

112 inches

Step-by-step explanation:

First since we are dealing with scale factor here you are going to want to divide the 48 by 3 since they are both written with yards.

After dividing you will get 16. This is how times you are going to multiply scale factor by. You then multiply 16 by 7 to get 112 inches as your answer.

5 0
3 years ago
Assuming that the Earth has a diameter of 7920 miles and a volume 6.7 times that of the planet Mars, what is the diameter of Mar
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53,064 hope this helps 
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6 0
3 years ago
(15 points)
Maslowich

Answer:

Each of the legs of isosceles right triangle is 5\sqrt{3}

Step-by-step explanation:

Watch the attached figure for the isosceles right angled triangle

Looking at the figure we see that AB=5√6 and BC=CA

According to the Pythagorean theorem the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle.

1) Applying the Pythagorean theorem to the isosceles right triangle, we have

BC^{2} + CA^{2} = AB^{2}

2) Let BC=a and CA=a as they both are equal

So,

a^{2} + a^{2} = (5\sqrt{6} )^{2}

=> 2a^{2} = (5\sqrt{6} )(5\sqrt{6} )

=> 2a^{2} = 5*5*\sqrt{6}*\sqrt{6}

=> 2a^{2} = 25*6 (since √6*√6 = (√6)²= 6)

=> 2a^{2} = 150

3) Dividing both sides by 2, we get

\frac{2a^{2} }{2} =\frac{150}{2}

4) Cancelling out the 2's on the left, we get

a^{2} = 75

5) Taking the square root on both sides, we have

\sqrt{a^{2}} = \sqrt{75}

=> a = 5\sqrt{3}

So,

Each of the legs of isosceles right triangle is 5\sqrt{3}



6 0
3 years ago
Express 0.106 as a fraction
Sav [38]

Express 0.106 as a fraction.

➜ 0.106 = 106/1000

7 0
3 years ago
Your annual clothing bill went up from $677.15 last year to $783.17 this year. What is your annual percent of increase from last
ss7ja [257]

Answer:

15.7% just got it right

Step-by-step explanation:

8 0
3 years ago
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