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Allushta [10]
3 years ago
10

Find the distance between the pair of points. Round your answer to the nearest hundredth. (-8,19) and (3,5)

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
5 0

Answer:

<h3>The answer is 17.80 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-8,19) and (3,5)

The distance between them is

d =  \sqrt{ ({ - 8 - 3})^{2}  +  ({1 9 - 5})^{2} }  \\  =  \sqrt{( { - 11})^{2}  +  {14}^{2} }  \\  =  \sqrt{121 + 196}  \\  =  \sqrt{317}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 17.804493...

We have the final answer as

<h3>17.80 units to the nearest hundredth</h3>

Hope this helps you

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Answer:

gift 1:

424 cm^2

570 cm^3

gift 2:

1420.5 cm^2

3622.5 cm^3

Step-by-step explanation:

We have to calculate the surface area of these gifts in order to know the amount of wrapping paper.

The formula for the surface area is:

A = 2*ab + 2*ac + 2*bc

Gift 1:

A = 2*6*10 + 2*6*9.5 + 2*10*9.5

A = 424 cm^2

That means that gift 1 needs 424 cm^2 of wrapping paper

Gift 2:

A = 2*14*17.25 + 2*14*15 + 2*17.25*15

A = 1420.5 cm^2

That means that gift 2 needs 1420.5 cm^2 of wrapping paper

Now, to calculate the cubic centimeters of packaging peanuts, we calculate the volume, the volume has as formula:

V = a*b*c  

Gift 1:

V = 6*10*9.5  

V = 570 cm^3

This means that gift 1 needs 570 cm^3 of packaging peanuts

Gift 2:

V = 14*17.25*15  

V = 3622.5 cm^3

That means that gift 2 needs 3622.5 cm^3 of packaging peanuts

5 0
3 years ago
How many different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1
ElenaW [278]

Answer:

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Step-by-step explanation:

Originally we have 10 digit phone numbers excluding the area code.

For each face value we have these in store: 0,1,2,3,4,5,6,7,8,9 (total 10)

But if we exclude 1 and 0 for the first digit, we are left with 8 digits.

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In a phone number, digits can repeat so we can choose out of these 10 numbers freely after this.

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Adding the area code while assuming 10P1 is just 10...we get:

1 X 1 X 1 X 8 X 10^(9)

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Very interesting question, thanks for the opportunity!

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LuckyWell [14K]

Answer:

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Step-by-step explanation:

To 'solve' means to find the x values that make the equation equal zero, so

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Multiply both sides by the denominator to get rid of the fraction

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