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tiny-mole [99]
3 years ago
11

Last Question of the day!

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0
GEOMETRIC \: \: PROGRESSIONS \\ \\ \\\\Taking \: \: L.H.S. \: \\ \\ 0.999... \: = \: 0 \: + \: \frac{9}{10} \: + \: \frac{9}{100} \: + \: \frac{9}{1000} + \: ... \: \: \infty \\ \\ \\ 0.999... \: = \: \frac{9}{10} \: ( \: 1 \: + \frac{1}{10} \: + \: \frac{1}{100} \: + \: \frac{1}{1000} + \: ... \: \: \infty \: \: ) \\ \\ \\ 0.999... \: = \: \frac{9}{10} \: ( \: 1 + \: \: \frac{1}{ {10}^{1} } \: + \: \frac{1}{ {10}^{2} } \:+ \: \frac{1}{ {10}^{3} } \: + \: ... \: \: \infty \: ) \\ \\ \\ As \: we \: can \: see \: \: , \: \\ \\ Above \: expression \: in \: bracket \: forms \: a \: \\ Infinite \: Geometric \: Progression \\ \\ Where \: \: ,\: \: \: \: \\ a = 1 \: \: \: \: \: and \: \: \: \: \: r = \frac{1}{10} \\ \\ Sum \: of \: Infinite \: Geometric \: \\ Progression \: \: = \: \: \frac{a}{1 - r} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{1 - \frac{1}{10} } \: \: = \: \: \frac{1}{ \frac{9}{10} } \: \: = \: \: \frac{10}{9} \\ \\ \\ Putting \: in \: above \: , \: we \: get \: - \: \\ \\ 0.999... \: \: = \: \: \frac{9}{10} \times \frac{10}{9} \: \: \\ \\ \\ 0.999... \: \: = \: \: 1 \: \: = \: R.H.S. \\ \\ Hence , \: above \: expression \: is \: TRUE \: \: :)
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Suppose that 12 inches of wire cost 48 cents at the same rate how many inches of wire can be bought for 28 cents
goldenfox [79]

Answer:

7 in

Step-by-step explanation:

If 12 inches of wire can be bought for $0.48, we can set up the following ratio:

\frac{12\text{ in}}{\$0.48}

Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:

\frac{12\text{ in}}{\$0.48}=\frac{x}{\$0.28}

Then, cross-multiply and solve for x:

\$0.48x=(\$0.28)(12)

\$0.48x=\$3.36

x=\frac{\$3.36}{\$0.48}

x=7

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Belle put the muffins she baked on six plates, four of which are red and two of which are yellow. The four red plates each have
butalik [34]

Answer:

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Step-by-step explanation:


7 0
3 years ago
A+B=44 A+B=44 A:B A:B is equivalent to 4:7. A= B=
ipn [44]
I think is going to be
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6 0
3 years ago
C
Rama09 [41]

Answer:

  • m∠AOB=139°

Step-by-step explanation:

m∠AOB+m∠BOC=180°

m∠AOB=8x+51°

m∠BOC=6x-25°

~

\tt 8x+51+6x-25=180

\tt 14x+26=180

\tt 14x=180-26

\tt \cfrac{14x}{14} =\cfrac{154}{14}

\tt x=11

m∠AOB:-

\tt 8(11)+51

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\tt =139^{o}

Therefore, m∠AOB=139°

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shtirl [24]

Answer:

y=−5x+17

Step-by-step explanation:

use the formula given in reference chart.

6 0
2 years ago
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