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natta225 [31]
3 years ago
15

Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with yo

ur new number. If you keep going, you'll eventually end up at 1. Every time.
Mathematics
2 answers:
Eva8 [605]3 years ago
5 0

4/2=2+1=3x3=9+1=10/2=5+1=6/2=3+1=4/2

Firlakuza [10]3 years ago
5 0

That is pretty darn cool.

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<h3>Answers:</h3>

14.  Each leg is   21\sqrt{2}  units long.

15 (a). The longer leg is 7\sqrt{3}  units long

15 (b). The hypotenuse is 14 units long

=====================================================

Explanations:

For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say

y = x\sqrt{2} where x is the leg and y is the hypotenuse

Let's solve for x

y = x\sqrt{2}\\\\x\sqrt{2} = y\\\\x = \frac{y}{\sqrt{2}}\\\\x = \frac{y\sqrt{2}}{\sqrt{2}*\sqrt{2}} \ \text{rationalizing denominator}\\\\x = \frac{y\sqrt{2}}{2}\\\\

Now plug in the given hypotenuse y = 42, this leads to,

x = \frac{y\sqrt{2}}{2}\\\\x = \frac{42\sqrt{2}}{2}\\\\x = \frac{42}{2}\sqrt{2}\\\\x = 21\sqrt{2}\\\\

---------------------------

For a 30-60-90 triangle, the hypotenuse is double that of the short leg. So the hypotenuse is 2*7 = 14.

The longer leg is equal to sqrt(3) times the short leg. The longer leg is 7\sqrt{3}

5 0
3 years ago
The diagram shows part of a regular polygon shaded in green.The interior angle is (28x+4)°.The exterior angle is (5x+11)°.How ma
qwelly [4]

Answer:

10 sides

Step-by-step explanation:

(28x+4)°+(5x+11)°=180°

28x+5x+11°+4°=180°

33x+15°=180°

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33x=165°

X=5.

Interior =(28×5)+4=144°

Exterior=(5×5)+11°=36°

No. of sides=360°\exterior

360°\36

10.

6 0
2 years ago
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