What is the volume of the rectangular prism

Mathematics

2 answers:

kolbaska11 [484]3 years ago

4 0

The answer is C :))

ollegr [7]3 years ago

3 0

Answer:

256in^3.

Step-by-step explanation:

Volume = LxWxH.

--> 8 x 8 x 4 = 256.

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You have two parents, four grandparents, eight greatgrandparents, and so forth.

Leviafan [203]

A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or $2^{2}$ ancestors.
In the third generation we have 8 ancestors ot $2^{3}$ ancestors.

We can see that each succesive generation has two times more members. The sum is:
$2+4+8+16+...+ 2^{40}$

To calculate number of ancestors we can use formula for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
 $S= a_{1} * \frac{1- r^{n} }{1-r}$
Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements

For this question:
a1 = 2
r = 2
n = 40
 $S= 2* \frac{1- 2^{40} }{1-2} =2 199 023 255 550$

b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years

c.
Total number of people who have ever lived = $10^{10}$
Number of ancestors in 40 generations = $2.2*10^{12}$

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.

8 0

3 years ago

75% of what equals 225? What did you get for 10%, 20% , 30% , 40%, 50% ,60% and 70%?

Lesechka [4]

75% of 225 = 300.

10% = 30
20% = 60
30% = 90
40% = 120
50% = 150
60% = 180
70% = 210
80% = 240
90% = 270

If you need an explanation, just ask.

8 0

3 years ago

Angle measure labeled a The arc mesure labeled c

inna [77]

Step-by-step explanation:

angle measure a =48/2=24°

the arc measure =360°-48°=312°