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Mathematics

2 answers:

Arturiano [62]3 years ago

8 0

Correct me if I’m wrong but I’d go with
B). 34, 55

Readme [11.4K]3 years ago

7 0

Answer:

B: 34, 55

Step-by-step explanation:

To get generation 7, the relatives of generation 5 and 6 were added. (8+13=21). So, to get generation 8, you need to add the relatives of generation 6 and 7. (13+21). Then, to get the ninth generation, you add the relatives of 7 and 8. (21+34. In the Fibonacci sequence you add the previous 2 numbers together to get the next number. I hope I explained this well I really tried my best to explain this.

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For a party, three solid cheese balls with diameters of 2 inches, 4 inches, and 6 inches, respectively, were combined to form a

schepotkina [342]

Answer:

The radius of the new cheese ball formed is approximately 6.603 inches.

Step-by-step explanation:

We are given the following in the question:

Radius of three cheese ball = 2 inches, 4 inches, and 6 inches

They were combined to form a new cheese ball.

Thus, we can write

Volume of three cheese balls = Volume of new cheese ball.

Let r be the radius of new cheese ball.

Volume of sphere =

$\displaystyle\frac{4}{3}\pi r^3$

Putting values, we get:

$\displaystyle\frac{4}{3}\pi r_1^3 + \displaystyle\frac{4}{3}\pi r_2^3 +\displaystyle\frac{4}{3}\pi r_3^3 =\displaystyle\frac{4}{3}\pi r^3\\\\\frac{4}{3}\pi(2^3 + 4^3 + 6^3) = \displaystyle\frac{4}{3}\pi r^3\\\\2^3 + 4^3 + 6^3 = r^3\\\Rightarrow 288 = r^3\\\Rightarrow r = (288)^{\frac{1}{3}}\\\Rightarrow r \approx 6.603$