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mixer [17]
4 years ago
12

The dimensions of a large room are double the dimensions of a small room.

Mathematics
1 answer:
Natalija [7]4 years ago
8 0
Volume id proportional to the cube of the dimensions. The volume of the larger room is 10 x (2 cubed) = 80 cubic metres.
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Find the sum of this infinite geometric series where a1=0.3 and r=0.55
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Hello, Marymack!


We know that in a geometric sequence defined by \mathsf{a_1} and \mathsf{r} , the sum can be calculated the following way:

\mathsf{S_n = \dfrac{a_1}{1-r}}\\ \\ \\ \\ \mathsf{S_n = \dfrac{0.3}{1-0.55}}\\ \\ \\ \mathsf{S_n = \dfrac{0.3}{0.45}}\\ \\ \\ \boxed{\mathsf{S_n = \dfrac{2}{3}=0.666...}}
3 0
3 years ago
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