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alexdok [17]
4 years ago
5

Simplify expression and show all work: 48m^7/20m^4

Mathematics
1 answer:
avanturin [10]4 years ago
4 0
48m^7
-----------
20m^4
= (48/4) m^7
---------------
(20/4)m^4
=12m^7
-------------
5m^4
=12m^(7-4)
---------------
5
=12m^3
-------------
5

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Adam is 159 centimeters tall and casts a shadow 105 centimeters in height. If Cara is 140 centimeters tall, how many centimeters
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Answer:

The answer to your question is 12.55 cm

Step-by-step explanation:

Data

Adam                                  Cara

height = 159 cm                  height = 140 cm

shadow = 105 cm                shadow = x

Process

1.- To solve this problem use the Thales' theorem

         Cara's shadow / Cara's height = Adam's shadow / Adam's height

- Substitution

                                     x / 140 = 105 / 159

-Solve for x

                                     x = 105 (140) / 159

-Simplification

                                     x = 14700 / 159

                                     x = 92.45 cm

Cara's shadow is 92.45 cm long.

2.- If both shadows are in line, then Cara must walk forward

                105 - 92.45 cm

                12.55 cm

             

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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