Two triangular pyramids are similar. the volume of the larger pyramid is 729 cm3 , and the volume of the smaller pyramid is 64 cm3. if the perimeter of the base of the smaller pyramid is 8 cm, what is the perimeter of the base of the larger pyramid? 18 cm 18 cm2 27 cm 27 cm2

  Second Option is correct.

Step-by-step explanation:

Since we have given that

Volume of larger pyramid = 729 cm³

Volume of smaller pyramid = 64 cm³

So, Ratio of volume of larger pyramid to volume of smaller pyramid is given by

So, Ratio of side of larger pyramid to side of smaller pyramid is given by

Now, Perimeter of base of smaller pyramid = 8 cm

So, We need to find the perimeter of larger pyramid.

So, it becomes,

Hence, Perimeter of the base of the larger pyramid is 18 cm².

Therefore, Second Option is correct.

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497