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Andreas93 [3]
3 years ago
5

Express the following fraction in simplest form using only positive exponents.

Mathematics
1 answer:
ElenaW [278]3 years ago
3 0

Answer:

32h^7

Step-by-step explanation:

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A 6m ladder leans against a wall. The bottom of the ladder is 1.3m from the wall at time =0sec and slides away from the wall at
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Answer:

- 0.100

Step-by-step explanation:

Length of the ladder,  H = 6 m

Distance at the bottom from the wall, B = 1.3 m

Let the distance of top of the ladder from the bottom at the wall is P

Thus,

from  Pythagoras theorem,

B² + P² = H²    .

or

B² + P² = 6²          ..............(1)      [Since length of the ladder remains constant]

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1.3² + P² = 6²

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or

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or

P = 5.857

Now,

differentiating (1)

2B(\frac{dB}{dt})+2P(\frac{dP}{dt})=0

at t = 2 seconds

change in B = 0.3 × 2= 0.6 ft

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B = 1.3 + 0.6 = 1.9 m

therefore,

1.9² + P² = 6²

or

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on substituting the given values,

2(1.9)(0.3) + 2(5.69) × (\frac{dP}{dt}) = 0

or

1.14 + 11.38 × (\frac{dP}{dt}) = 0

or

11.38 × (\frac{dP}{dt}) = - 1.14

or

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here, negative sign means that the velocity is in downward direction as upward is positive

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