3 years ago

The radius of circle B is 1/3 of the radius of circle A. The diameter of circle A is 18 cm. What is the radius of circle B?

Mathematics

1 answer:

Rom4ik [11]3 years ago

5 0

Answer:

Step-by-step explanation:

divide 8 by 3

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Answer:

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Step-by-step explanation:

Exponential equations can be solved by taking Ln (natural logarithm) of both sides. The rule we need to know is:

$Ln(a^b)=bLn(a)$

Now lets work out this problem:

$16^{2x+3}=13^{x-1}\\Ln(16^{2x+3})=Ln(13^{x-1})\\(2x+3)Ln(16)=(x-1)Ln(13)$

Using calculator, we take the values of Ln 16 and Ln 13 as:

Ln 16 = 2.7726

Ln 13 = 2.5649

Now, we can solve for x:

$(2x+3)Ln(16)=(x-1)Ln(13)\\(2x+3)2.7726=(x-1)2.5649\\5.5452x+8.3178=2.5649x-2.5649\\2.9803x=-10.8827\\x=-3.69$

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