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3 years ago

6

whats an rational and a irrational number between 1.4 and 1.6. include the decimal approximation of the irrational number to the

nearest hundredth.

2 answers:

Liono4ka [1.6K]3 years ago

7 0

1.5 is a rational number because it can be written as a fraction.
1.56 or 1.555555 repeating is not a rational number.

VARVARA [1.3K]3 years ago

4 0

<span>(1.4 + 1.6 )/2 = 1.5 irrational = not the quotient of integers eg 1.41 eg 22/7 eg 1.57 </span>

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3 years ago

Suppose that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each

stich3 [128]

We have been given that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.

We will use sum of geometric sequence formula to solve our given problem.

$S_n=\frac{a\cdot(1-r^n)}{1-r}$ , where,

a = First term of sequence,

r = Common ratio,

n = Number of terms.

For our given problem $a=50$ , $r=50\%=\frac{50}{100}=0.5$ and $n=25$ .

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$S_{25}=\frac{50\cdot(1-0.0000000298023224)}{0.5}$

$S_{25}=\frac{50\cdot(0.9999999701976776)}{0.5}$

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$S_{25}=99.99999701976776\approx 100$

Therefore, the ball will travel 100 meters and option B is the correct choice.

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3 years ago

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Goshia [24]

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3 years ago

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2 years ago