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Alex73 [517]
2 years ago
9

How long is the arc intersected by a central angle of StartFraction pi Over 3 EndFraction radians in a circle with a radius of 6

ft? Round your answer to the nearest tenth. Use 3. 14 for Pi. 1. 0 ft 5. 7 ft 6. 3 ft 7. 0 ft.
Mathematics
1 answer:
vladimir2022 [97]2 years ago
8 0

\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=6\\ \theta =\frac{\pi }{3} \end{cases}\implies s=6\cdot \cfrac{\pi }{3}\implies s=2\pi \implies s\approx 6.3

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ziro4ka [17]

Answer:

x = 8

Step-by-step explanation:

The measures of the angles in a triangle add up to equal 180°

That being said we can create an equation to solve for x

( note that this is a right triangle indicated by the square. A right triangle has a right angle which has a measure of 90° )

180 = 90 + 5x + 5 + 5x + 5

now we solve for x using basic algebra

step 1 combine like terms

90 + 5 + 5 = 100

5x + 5x = 10

now we have 180 = 100 + 10x

step 2 subtract 100 from each side

180 - 100 = 80

100 - 100 cancels out

now we have 10x = 80

step 3 divide each side by 10

10x / 10 = x

80 / 10 = 8

we're left with x = 8

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3 years ago
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frozen [14]

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Step-by-step explanation:

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Pls pls answer this asap no wrong answers pls
klemol [59]

Answer:

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Step-by-step explanation:

First one:

He is shown to have travelled 20km in 1 hour, so that's 20km/h.

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The gradient is how steep the curve is, the steeper the faster the person is travelling. Due to the fact Bianca's curve becomes steeper, it shows she is travelling faster. Therefore, her running speed increases.

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Bianca's line hits 50km before Alberto, so therefore she finished first.

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6 0
2 years ago
Value expression of 3^5 / 3^3
suter [353]

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9

Step-by-step explanation:

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3 0
3 years ago
How would I solve this
Tom [10]

Answer:21.2

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