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Nuetrik [128]
2 years ago
12

Write 0.125 as if it was 2 to a power

Mathematics
1 answer:
Westkost [7]2 years ago
4 0

Answer:

2^{-3}

Step-by-step explanation:

0.125 as a fraction is 125/1000 or 1/8

  • 1 is the same as 2^{0} (anything to the power of 0 is 1)
  • 8 is the same as 2³ (2 × 2 × 2 = 8)
  • 2^{0} ÷ 2³ = 2^{-3} (You subtract the powers: 0 - 3 = -3)

Hope this helps!

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Help geometry what I m jlf <br> Picture provided
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Answer:

\angle\,JLF = 114^o  which agrees with option"B" of the possible answers listed

Step-by-step explanation:

Notice that in order to solve this problem  (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from 180^o, since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as 90^o and 138^o. (see attached image)

We put our efforts into solving the right angle triangle denoted with green borders.

Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : 360^o-90^o-138^o=132^o

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Now referring to the green sided right angle triangle we can find find angle JLG, using: 180^o-24^o-90^o=66^o

Finally, the requested measure of angle JLF is obtained via: 180^o-66^o=114^o

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