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emmainna [20.7K]
3 years ago
15

To evaluate 43/2 find A) the square of 4 and then take the cube root. B) the cube of 4 and then take the square root. C) the squ

are root of 2 times the cube root of 4. Eliminate D) the cube root of 4 and then take the square root.
Mathematics
1 answer:
tatiyna3 years ago
4 0

Answer:

  B) the cube of 4 and then take the square root

Step-by-step explanation:

43/2 = 21.5

___

The answer choices suggest you want ...

  4^(3/2) . . . . . . . appropriate math symbols are very helpful

This can be evaluated several ways:

  4^{\frac{3}{2}}=\sqrt{4^3}=(\sqrt{4})^3=10^{\frac{3}{2}\log{4}}\\\\=8

_____

Since the 3 is in the numerator of the fraction, it represents a cube, not a cube root. Any of the answer choices suggesting cube root is involved are incorrect. (Eliminating those leaves only the correct answer choice.)

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The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number
aivan3 [116]

Answer: Dear friend my answer for this question is 86.

Step-by-step explanation:Let the two digits of two digit number be, 10s digit x and 1s digit y.

x + y = 14

x = 14 - y…..Eq..1

The nuber formed is 10x + y

If the number formed by reversing the digits is 18 less than the original number, what is the original number

On reversing the digit the number will be 10y + x

10y + x + 18 = (10x + y)

10y + x = 10x + y - 18

10y - y + x - 10x = - 18

9y - 9x = -18…Eq..2

Now substituting the value of x from Eq..1 to Eq..2

9y - 9 (14 - y) = - 18

9y - 126 + 9y = - 18

18y = 126 - 18

18y = 108

y = 108/18

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Thus 1s digit if the number is 6

Substituting the derived value of y in Eq..1 to derive value of x.

x = 14 - y

x = 14 - 6

x = 8

The 10s digit if two digit number is 8.

The original number formed is 86.

On reversing the digits, the number transform to 68, which is 18 less than original number

Answer the original number is 86.

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Answer:

12 cm


Step-by-step explanation:

This is a proportionality/similarity problem.

10 cm turned to 4 cm. So by how much has it decreased? In other words, <em>10 multiplied by </em><em>WHAT</em><em> is 4?</em>

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0.4 is also known as the scale factor from the large diagram to the small diagram.

So how much would 30 cm become?<em> It would be 30 multiplied by the scale factor, which is </em><em>0.4</em><em>.</em>

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<u>Hence, the length of the reduced diagram would be </u><u>12 cm</u><u>.</u>

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