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DaniilM [7]
2 years ago
13

IF NR = 8 ft, what is the length of arc NMP. Round to the nearest tenth.

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
4 0

Check the picture below.

since chords NQ and MP cross the center of the circle at R, that means that those two chords are diametrical chords and the angles made by both are vertical angles and thus twin angles, namely both are 18° as you see in the picture, so the angle NMP in magenta is really 162° + 18° + 18° = 198°, and we know the radius NR is 8.

\textit{arc's length}\\\\ s=\cfrac{r\pi \theta }{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =198 \end{cases}\implies s=\cfrac{(8)\pi (198)}{180}\implies s\approx 27.6

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iVinArrow [24]

Answer:

  • E) 48

Step-by-step explanation:

<em>Parallel lines divide the transversals proportionally.</em>

Set proportions and solve for k:

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Correct choice is E.

4 0
2 years ago
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Answer:

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Step-by-step explanation:

4 0
2 years ago
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kogti [31]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
What is the area of the white border?
Lina20 [59]

Answer:

A_{white} = 119\ cm^2

Step-by-step explanation:

<u>Step 1:  Determine the area of the black area</u>

A = l * w

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<u>Step 2:  Determine the area of the entire white and black area</u>

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Zinaida [17]
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4 0
3 years ago
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