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DIA [1.3K]
3 years ago
13

Describe how to transform the quantity of the sixth root of x to the fifth power, to the seventh power into an expression with a

rational exponent. Make sure you respond with complete sentences.
Please answer the question the best way you can
Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0

Complete sentences?  Gimme a break.

I think this is describing

(\sqrt[6]{x^5} )^7

First step is we convert the sixth root to a 1/6 power,

=((x^5)^{\frac 1 6})^7

In general when we have a power raised to a power we get to multiply the exponents,

=x^\frac{35}{6}

That's our answer.

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Which question do you want us to do?

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myrzilka [38]

Answer:

<u>135.94 feet</u>

Step-by-step explanation:

Split the problem into two parts :

  1. Distance between viewer and building
  2. Height of the top part of the building

<u>Distance between viewer and building</u>

  • The lower part of the building is 40 feet, as it is mentioned the viewer is 40 feet above street level
  • Let the distance be called 'd'
  • Therefore, tan37° = 40/d
  • tan37° = 3/4 = 0.75
  • ⇒ 40/d = 0.75
  • ⇒ d = 40/(3/4) = 40 x 4/3 = 160/3 = 53.3 feet

<u>Height of the top part of the building</u>

  • Let the height of the top part be 'h'
  • Therefore, tan61° = h/d = h/53.3
  • tan61° = 1.8
  • ⇒ h/53.3 = 1.8
  • ⇒ h = 53.3 x 1.8 = 95.94 feet

<u>Total height of building</u>

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  • <u>135.94 feet</u>

<u />

3 0
3 years ago
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