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pishuonlain [190]
3 years ago
12

What are the solutions

Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0
Answers are B and F.
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Gertrude has a life insurance policy that will pay her family $97,000 per year if
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90000 srry if im wrong

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Complete the table by converting each decimal to a fraction.
AlekseyPX

if you've read those links already, you'd know what we're doing here.

we'll move the repeating part to the left-side of the dot, by multiplying by "1" and as many zeros as needed, or 10 at some power pretty much.

on 0.13 we need 100 to get 13.13.... and on 0.1234, we need 10000 to get 1234.1234....


\bf 0.\overline{13}~\hspace{10em}x=0.\overline{13}&#10;\\\\[-0.35em]&#10;~\dotfill\\\\&#10;\begin{array}{|lll|ll}&#10;\cline{1-3}&#10;&&\\&#10;100\cdot 0.\overline{13}& = & 13.\overline{13}\\&#10;100\cdot x&& 13 + 0.\overline{13}\\&#10;100x&&13+x&#10;\\&&\\&#10;\cline{1-3}&#10;\end{array}\implies \begin{array}{llll}&#10;100x=13+x\implies 99x=13&#10;\\\\&#10;x=\cfrac{13}{99}&#10;\end{array}&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;0.\overline{1234}~\hspace{10em}x=0.\overline{1234}&#10;\\\\[-0.35em]&#10;~\dotfill


\bf \begin{array}{|ccc|ll}&#10;\cline{1-3}&#10;&&\\&#10;10000\cdot 0.\overline{1234}&=&1234.\overline{1234}\\&#10;10000\cdot x&=&1234+0.\overline{1234}\\&#10;10000x&=&1234+x&#10;\\&&\\&#10;\cline{1-3}&#10;\end{array}\implies \begin{array}{llll}&#10;10000x=1234+x&#10;\\\\&#10;9999x=1234\implies x=\cfrac{1234}{9999}&#10;\end{array}

7 0
3 years ago
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What is the value of x
pav-90 [236]

Let's start with triangle RST. This is a 30-60-90 triangle, which means it has the relationship x - x sqrt(3) - 2x.

If RS is 2 sqrt(3), then ST must be 2 and RT must be 4.

Triangle QRT is a 45-45-90 triangle, which means it has the relationship x - x - x sqrt(2).

If RT is 4, then RQ must also be 4.

Answer: x = 4

Hope this helps!

7 0
2 years ago
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