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tatiyna
2 years ago
7

Find the length of AB.

Mathematics
1 answer:
Margaret [11]2 years ago
7 0

Answer:

19.54 m

Step-by-step explanation:

l(\widehat {AB})  =  \frac{ \theta}{360 \degree}  \times 2 \pi r \\  \\l(\widehat {AB})  =  \frac{140 \degree}{360 \degree}  \times 2 \times 3.14 \times 8 \\  \\ l(\widehat {AB})  =  \frac{7}{18}  \times 2 \times 3.14 \times 8 \\  \\ l(\widehat {AB})  =  \frac{351.68}{18}   \\  \\ l(\widehat {AB})  = 19.5377778 \\  \\ l(\widehat {AB})   \approx 19.54 \: m

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I actually posted this a while ago and it got answerd by a smart person so here's what I understood


the error is that it assumes that √(x²)=x
because if x is negative, it becomes positive
that's how the 2nd line is wrong
the 2nd line is the first wrong step

it goes from 4-9/2+9/2
so it goes from 4-4.5+4.5
notice the part under the parenthsees
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if we evaluate 4-4.5, we get -0.5
but by squaring it we get 0.5

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2 years ago
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2 years ago
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gregori [183]

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2 years ago
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dsp73

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2 years ago
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