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mr Goodwill [35]
4 years ago
10

The ratio of two numbers is 1 to 2 and the sum of their squares is 20. Find the numbers. If there is more than one pair, use the

Mathematics
1 answer:
EleoNora [17]4 years ago
4 0

The two numbers are 2 and 4 "or" -2 and -4

Step-by-step explanation:

The given is:

  • The ratio of two numbers is 1 to 2
  • The sum of their squares is 20

We need to find the numbers

Assume that the smaller number is x

∵ The ratio between the two numbers is 1 : 2

∵ The smaller one is x

By using the ratio method

→  1st    :    2nd

→   1      :    2

→   x     :     ?

By using cross multiplication

∴ 1 × ? = x × 2

∴ ? = 2x

∴ The 2nd number is 2x

∵ The sum of their squares = 20

∵ Square x = x × x = x²

∵ Square (2x) = 2x × 2x = 4x²

∴ The sum of their squares = x² + 4x² = 5x²

- Equate the sum of their squares by 20

∴ 5x² = 20

- Divide both sides by 5

∴ x² = 4

- Take √ for both sides

∴ x = ± 2

∴ The smaller number is 2 <em>OR</em> -2

∵ The larger number is 2x

∴ 2x = 2(±2) = ± 4

∴ The larger number is 4 <em>OR</em> -4

The two numbers are 2 and 4 "or" -2 and -4

Learn more:

You can learn more about the ratio in brainly.com/question/2707032

#LearnwithBrainly

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IceJOKER [234]
This is the correct answers

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4 years ago
How can you use number patterns to find the least common factor
Aleks04 [339]

Answer:

The correct answer is: 360.

Explanation:

First we can express 120 as follows:

2 * 2 * 2 * 3 * 5 = 120

You can get the above multiples as follows:

120/2 = 60

60/2 =30

30/2 = 15

15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)

5/5 = 1

Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)

Second we can express 360 as follows:

360/2 = 180

180/2 = 90

90/2 =45

45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)

15/3 = 5

5/5 = 1

Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)

Now in (1) and (2) consider the common terms once and multiple that with the remaining:

2*2*2*3*5 = Common between the two

3 = Remaining

Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)

5 0
3 years ago
-y (2 - 5y + 4)<br> Simplify plz
Neko [114]

This equation simplified would be

-y(-5y+6)

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3 years ago
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May someone please help?
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3 years ago
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A researcher was interested in utilities provided by city governments. The researcher randomly selected 20 counties from a list
DaniilM [7]

Answer:

1. The population of interest is all city goverments in the U.S.

5. The parameter of interest is the proportion of the city goverments in the U.S. that provide electricity to their residents.

Step-by-step explanation:

Hello!

Missing questions:

Which of the following is true? Select all that apply.

  1. The population of interest is all city governments in the U.S.
  2. The population of interest is the 192 cities.
  3. The population of interest is all city governments that provide utilities to their residents.
  4. The population of interest is 6.25%
  5. The parameter of interest is the proportion of the city governments in the U.S. that provide electricity to their residents.
  6. The parameter of interest is 6.25%
  7. The population of interest is the 20 counties.
  8. The parameter of interest is the list of all counties in the U.S.

The objective of this essay is to test utilities provided by city governments, for this a sample of 20 counties was taken then contacted each city of them counting how many of them provided utilities to their residents, finding out that 12 out of 192 cities (6.25%) provided electricity to their residents.

The study variable is:

X: Number of city governments that provide utilities (electricity) to their residents, in a sample of 192.

The population of the study is the city governments in the U.S.

And the parameter of interest is the population proportion of city governments in the U.S. that provide electricity to their residents.

I hope it helps!

4 0
3 years ago
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