3 years ago

Convert 11.42424242 … to a rational expression in the form of a over b, where b ≠ 0.

Mathematics

1 answer:

babymother [125]3 years ago

3 0

$x = 11\frac{42}{99}$

Step-by-step explanation:

$11.42424242.... = 11. \overline{42} \\ let \: x = 11. \overline{42} .....(1)\\ 100x = 1142.\overline{42}....(2) \\ subtracting \: (1) \: from \: (2) \: \\ 100x - x = 1142.\overline{42} - 11. \overline{42} \\ 99x = 1131 \\ x = \frac{1131}{99} \\x = 11\frac{42}{99} \\$

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Can anyone help. Greatly appreciate:)

PilotLPTM [1.2K]

Answer:

Area= 12 units squared, Perimeter= 16.12899

Step-by-step explanation:

$AC= \sqrt{(4-0)^{2}+ (0+4)^{2}} = 4\sqrt{2}$

$AB= \sqrt{(0-4)^{2}+ (2-0)^{2} } = 2\sqrt{5}$

$BC= \sqrt{(0-0)^{2}+ (2+4)^{2} }= 6$

So, perimeter= $4\sqrt{2} + 2\sqrt{5} +6= 16.12899$

$Area= \frac{1}{2}bh\\$

$= \frac{1}{2}BC\sqrt{(4-0)^{2}+(0-0)^{2} }$

$= 12$ $units^{2}$

6 0

2 years ago

Which equation can be used to determine the distance between the origin and (–2, –4)?

Mashutka [201]

When trying to determine the distance between two points, one would use the distance formula.

The distance formula is attached above and all you need to do is plug in the points in order to get the distance.

For example, if you were to plug them in, you would get:

√(0+4)^2 + (0+2)^2