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Lilit [14]
3 years ago
13

Please help me with this question #20

Mathematics
1 answer:
Maurinko [17]3 years ago
6 0

Answer:

  answers C and D are both correct. (I consider D to be "simpler.")

Step-by-step explanation:

By the rules of exponents ...

  (a^b)^c = a^(b·c)

Here, we have a=-3, b=2. c=3, so ...

  ((-3)^2)^3 = (-3)^(2·3) = (-3)^6

___

Consider further that ...

  -3 = (-1)(3)

and another rule of exponents tells you ...

  (a·b)^c = (a^c)·(b^c)

so our previous simplified result can also be written as ...

  (-3)^6 = ((-1)·(3))^6 = (-1)^6·(3)^6 = 1·(3)^6 = (3)^6

_____

I find it hard to tell just how "simplified" your answer key may want the answer to be. Of course, the simplest possible form is 729.

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guajiro [1.7K]

Part (A)

(1 cm)/(20 cm) = (6 cm)/(x cm)

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<h3>Answer:  1.2 m</h3>

=========================================================

Part (B)

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Answer:

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Now, we can use this formula to calculate the diagonal of the pool if we just have the length and the width (these would be the legs of the triangle). We need to measure both the length and the width and then square both of them and sum up the squares: this would give us the square of the diagonal so we will only need to find its quadratic root and we will have the length of the diagonal.

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