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creativ13 [48]
2 years ago
14

Which ratio is equivalent to 9: 180? А 5 200 B. 12 : 240 C 10 400 D 8 560​

Mathematics
1 answer:
pshichka [43]2 years ago
6 0

Answer:

B. 12:240

Step-by-step explanation:

- 9:180

⇒ 1:20

Optiona (A) 5 : 200 it is not  multiple of 1:20, Eliminate.

Option (B) 12:240, it is multiple of 1:20 ( x 12) , quality

Option (C) 10:400 , Eliminate

Option (D) 8:560 , Eliminate

Hence, 12:240 is equivalent to 9:180.

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Answer:

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Now, to compute for the volume of a cube, we multiply the length three times to itself. Or, in other words, raise the length to the third power. That means the volume of the new cube is (0.8a)³ = 0.512a³ cubic units.

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Find the value of 7u+1 given that -5u-1=4
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\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\displaystyle\sum \limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio} \end{cases} \\\\[-0.35em] ~\dotfill

\bf S_{20}=\displaystyle\sum \limits_{n=1}^{\stackrel{\stackrel{n}{\downarrow }}{20}}~\stackrel{\stackrel{a_1}{\downarrow }}{3}(\stackrel{\stackrel{r}{\downarrow }}{1.5})^{n-1}\implies S_{20}=3\left(\cfrac{1-1.5^{20}}{1-1.5} \right)\implies S_{20}=3\left(\cfrac{1-\stackrel{\approx}{3325.3}}{-0.5} \right) \\\\\\ S_{20}=3\left(\cfrac{-3324.3}{-0.5} \right)\implies S_{20}=3(6648.6)\implies S_{20}=19945.8

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