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Pachacha [2.7K]
2 years ago
15

Simplify the expression. c–6 • 2c7

Mathematics
1 answer:
Anna11 [10]2 years ago
7 0

The answer is 2c.

Applying the Law of Exponents,

  • c⁻⁶ x 2c⁷
  • 2c⁷⁻⁶
  • 2c
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Big Ben, the famous clock tower in London, has a minute hand that is 14 feet long. How far does the tip of the minute hand of Bi
ycow [4]

Answer:

36.65 ft (2 dp)

Step-by-step explanation:

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Therefore, the minute hand of a clock travels 360° in 60 minutes

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\sf =\dfrac{360}{60} \times 25=150^{\circ}

To find how far the tip of the minute hand travels in 25 minutes, use the Arc Length formula:

\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)

\textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}

Given:

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\begin{aligned}\implies \textsf{Arc length} &=2 \pi (14)\left(\dfrac{150^{\circ}}{360^{\circ}}\right)\\ & = 28\pi \left(\dfrac{5}{12}\right)\\ & = \dfrac{35}{3} \pi \\ & = 36.65\: \sf ft\:(2\:dp)\end{aligned}

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The distance around the bulletin board would be 20 feet, because you multiply 6ft 2x and 4ft 2x.



6 0
4 years ago
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