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3 years ago

Find the scale factor of a cube with volume 729 ft3 to a cube with volume 2197 ft3

2 answers:

8 0

To determine the scale factor, we first get the cube roots of the volumes of the cubes.
(Cube 1) = 729^(1/3) = 9
(Cube 2) = 2197^(1/3) = 13
Therefore, the scale factor of these similar polygons is 9:13.

LenaWriter [7]3 years ago

7 0

Scale factor = (2197-729)/729===)Sale factor = 2.014

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4 years ago

A circle has a circumference of 138.16 meters. What is the diameter of the circle ?

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3 years ago

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If a person tosses a coin 23 times, how many ways can he get 11 heads

EastWind [94]

Tossing a coin is a binomial experiment.

Now lets say there are 'n' repeated trials to get heads. Each of the trials can result in either a head or a tail.

All of these trials are independent since the result of one trial does not affect the result of the next trial.

Now, for 'n' repeated trials the total number of successes is given by

$_{r}^{n}\textrm{C}$

where 'r' denotes the number of successful results.

In our case $n=23$ and $r=11$ ,

Substituting the values we get,

$_{11}^{23}\textrm{C}=\frac{23!}{11!\times 12!}$

$\frac{23!}{11!\times 12!}=1352078$

Therefore, there are 1352078 ways to get heads if a person tosses a coin 23 times.

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4 years ago