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vagabundo [1.1K]
3 years ago
14

Which shows the expression below simplified? 0.000085 - (4.1 × 10-6) A. 8.09 × 10-5 B. 8.09 × 10-6 C. 4.4 × 10-5 D. 4.099915 × 1

0-6
Mathematics
1 answer:
rjkz [21]3 years ago
3 0

Answer:

A. 8.09 × 10^-5

Step-by-step explanation:

4.1 x 10^-6 = 0.0000041

0.000085 - 0.0000041 = 0.0000809

0.0000809 = 8.09 x 10^-5

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The minute hand of a clock is 8 inches long. To the nearest tenth of an inch, how far does the tip of the minute hand travel as
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We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

<u>So, firstly we will find the circumference of circle;</u>

       Circumference of circle (C)  =  2\pi r   {where r is radius of circle}

                                                      =  2 \times \pi \times 8   {given r = 8 inches long}

                                                      =  16 \pi

Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents  \frac{25}{60}  which is  \frac{5 }{12}  of the circumference, that means;

The length of arc from time 12:00 to 12:25  =  \frac{5}{12}\times \text {Circumference of circle}

                                                                       =  \frac{5}{12} \times 16 \pi

                                                                       =  \frac{20}{3} \pi = 6.67\pi

Now, assuming value of \pi = 3.14; so 6.67\pi =  6.67 \times 3.14 = 20.9 inches (in nearest tenth)

Hence, the tip of the minute hand travels 20.9 inches.

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3 years ago
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