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Anarel [89]
4 years ago
5

Express answer in exact form. Show all work for full credit.

Mathematics
1 answer:
Gennadij [26K]4 years ago
4 0

Answer:

Area segment = 3/2 π - (9/4)√3 units²

Step-by-step explanation:

∵ The hexagon is regular, then it is formed by 6 equilateral Δ

∵ Area segment = area sector - area Δ

∵ Area sector = (Ф/360) × πr²

∵ Ф = 60° ⇒ central angle of the sector

∵ r = 3

∴ Area sector = (60/360) × (3)² × π = 3/2 π

∵ Area equilateral Δ = 1/4 s²√3

∵ The length of the side of the Δ = 3

∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3

∴ Area segment = 3/2 π - (9/4)√3 units²

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45

Step-by-step explanation:

The n th term of a GP is

a_{n} = ar^{n-1}

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\frac{ar^4}{ar} = \frac{48}{6} , that is

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car traveled 576 mi averaging a certain speed. If the car had gone 8 mph​ faster, the trip would have taken 1 hour less. Find th
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Step-by-step explanation:

V=speed × time

V=s×t .....equation (1)

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for taking one hour: t-1

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V=(s+8)(t-1)

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Expand the bracket

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576-s+8t-8=576

Collect the like terms

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Subtitude into the value of s

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576=8t^2-8t

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By factorization method

Product is (-9 and 8)

(t-9)(t+8)=0

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9s=576

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4 years ago
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