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Afina-wow [57]
3 years ago
13

Evaluate (9^-3)(9^12)

Mathematics
2 answers:
frutty [35]3 years ago
7 0

Answer:

1/9^3(9^12)

9^12/9^3

9^12-3

9^9

397,420,489

Tema [17]3 years ago
4 0

9514 1404 393

Answer:

  387,420,489

Step-by-step explanation:

The order of operations tells you that exponential terms must be evaluated first, before multiplication:

  (9^-3)(9^12) = (1/729)(282,429,536,481) = 387,420,489

__

The rules of exponents tell you that this can be simplified before it is evaluated.

  (9^-3)(9^12) = 9^(-3+12) = 9^9 = 387,420,489

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Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of the flag pole at an angle of el
7nadin3 [17]

Answer:

15.2 m

Step-by-step explanation:

You need to draw a figure. Start by drawing a horizontal segment approximately 10 cm long; that is the ground. Label the left end point A and the right endpoint B. On the right endpoint, B, go up a short 1 cm vertically. That is 1.5 m, the height of Zaheer. Label that point C. Now from that point draw a horizontal line that ends up above point A. Label that point D. Now go back to point C. Draw a segment up to the left at a 30 deg angle with CD. End the segment vertically above point D. Label that point E. That is the top of the flagpole. Draw a vertical segment down from point E through point D ending at point A. Segment AE is the flagpole. Go back to point C. Move 3 cm to the left on segment CD, and draw a point there and label it F. That is where Zaheer moved to. Now connect point F to point E. That is a 45-deg elevation to point E, the top of the flagpole.

m<EFD = 45 deg

m<EFC = 135 deg

m<FEC = 15 deg

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(sin 15)/10 = (sin 135)/EC

EC = 27.32

Because of the 30-60-90 triangle, ED = EC/2

ED = 13.66

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