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liq [111]
3 years ago
11

Solve for n. n + 1 = 4(n – 8) n=1 n=8 n=11 U n = 16

Mathematics
2 answers:
Irina-Kira [14]3 years ago
5 0

Answer:n=11

Step-by-step explanation:n+1=4n-32

3n-n=-32-1

N=11

Alika [10]3 years ago
3 0

\displaystylen+1=4(n-8) \\n+1=4n-32 \\-3n+33=0 \\-3(n-11)=0 \\n-11=0 \\n=11

Hope this helps.

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Answer:

Arc length MK = 15.45 units (nearest hundredth)

Arc measure = 58.24°

Step-by-step explanation:

Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)

ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:

\sf \cos(\theta)=\dfrac{A}{H}

where:

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  • H is the hypotenuse (the side opposite the right angle)

Given:

  • \theta = ∠KLM
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\implies \sf \cos(KLM)=\dfrac{8}{15.2}

\implies \sf \angle KLM=\cos^{-1}\left(\dfrac{8}{15.2}\right)

\implies \sf \angle KLM=58.24313614^{\circ}

Therefore, the measure of arc MK = 58.24° (nearest hundredth)

\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}

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  • r = 15.2
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\implies \textsf{Arc length MK}=2 \pi (15.2)\left(\dfrac{\sf \angle KLM}{360^{\circ}}\right)

\implies \textsf{Arc length MK}=\sf 15.45132428\:units

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