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3 years ago

13

Which expression will calculate the distance between any two points (p and q) on a number line?

2 answers:

aleksley [76]3 years ago

6 0

Answer:

The answer is (A)

Step-by-step explanation:

By subtracting both number you will be left off with the distance between the numbers.

Edit: answer (C) is wrong because it refers to the absolute values of p and q, the absolute value of a number is equal to how many numbers that number is away from zero.

Citrus2011 [14]3 years ago

4 0

Answer:

c

Step-by-step explanation:

Subtracting one number from the other will igve you the difference between them. However as P and Q are not specific numbers we do not know which is larger. Therefore we must use absolute value to make sure we do not end up with a negative number by subtracting the larger number from the smaller one.

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3 years ago

Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui

Vesnalui [34]

<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box

= Area of the base + 4 x ( Area of the adjacent faces)

= S x S + 4 ( S x H) = S² + 4 SH ..... (1)

Also, Area of the box = S x S x H = S²H

⇒ S²H = 2000

$\implies H = \frac{2000}{S^2}$

Substituting the value of H in (1), we get:

$A = S^2 + 4 SH = S^2 + 4 S(\frac{2000}{S^2}) = S^2 + (\frac{8000}{S})\\\implies A = S^2 + (\frac{8000}{S})$

Now, to minimize the area put :

$(\frac{dA}{dS} ) = 0 \implies 2S - \frac{8000}{S^2} = 0\\\implies S^3 = 4000\\\implies S = 15.874 \approx 16 cm$

Putting the value of S = 15.874 cm in the value of H , we get:

$\implies H = \frac{2000}{S^2} = \frac{2000}{(15.874)^2} = 7.8937 cm$

Hence, the dimensions of the given rectangular box are:

L = 15.874 cm

B = 15.874 cm

H = 7.8937 cm

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3 years ago