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grigory [225]
3 years ago
9

The length of a rectangle is 5 more than twice the width. If the perimeter of the

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0

Answer:

The dimensions of the rectangle are two unknowns: The length "l" and the width "w"

The perimeter of a rectangle is found as P = 2*l + 2*w

We also know that the length is 5cm more than twice the width. l = 2*w + 5

These two equations gives us a system of linear equations.

P = 2*l + 2*w

l = 2*w + 5

We can use substitution to replace the "l" in the first equation with 2*w + 5

P = 2*(2*w + 5) + 2*w

P = 4*w + 10 + 2*w

P = 6*w + 10

We know that P = 34cm

34 = 6*w + 10

Subtract 10 from both sides

24 = 6 * w

Divide both sides by 6

4 = w

Now that we know the width, we can find the length by substituting 4 for "w" in the second equation.

l = 2*4 + 5

l = 8 + 5

l = 13

The dimensions of the rectangle is 13cm x 4cm

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Answer:

3.451, 3.452, 3.453, 3.454, 3.455, 3.456, 3.457, 3.458, 3.459, 3.460

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3 years ago
In list T, consists of 30 positive decimals. None of which are integers. The sum of the 30 decimals is S. The estimated sum of t
Masteriza [31]

Answer: E - S = (-16 and 6)

Step-by-step explanation:1/3 of the 30 decimals in T have an even tenths digit, it follows that 1/3*(30)=10 decimals in T have an even tenths digit.

Hence: Te =list of 10 decimals

Se = sum of all 10 decimals in Te

Ee =estimated sum of all 10 decimals in Te after rounding up.

Remaining 20 decimals in T all have an odd tenths digits.

To =list of this 20 decimals

So = sum of all 20 decimals in To

Eo = estimated sum of 20 decimals in To

Hence,

E = Ee + Eo and S =Se +So, hence:

E-S, =(Ee+Eo) - (Se+So) =(Ee-Se) +(Eo-So)

Ee-Se >10 (0.1)=1

S=10(1.8)+20(1.9) =18+38=56

E=10(2)+20(1)=40

E-S =40-56=-16.

AlsoS=10(1.2)+20(1.1)=34

E=10(2)+20(1)=40

E-S=40-34=6

6 0
3 years ago
A square has a length of 4.8 feet. If the square is dilated by a factor of 4 , what is the length of a side of the new square? W
oksano4ka [1.4K]

Answer:

4.8x4=19.2, and then 19.2/4=4.8 feet

Each side would be 4.8 feet

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This describes the relationship between one set of data that increases as another set of data increases. This is synonymous with
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Answer:

Positive correlation              

Step-by-step explanation:

Correlation:

  • Correlation is a technique that help us to find or define a linear relationship between two variables.
  • It is a measure of linear relationship between two quantities.
  • A positive correlation means that an increase in one quantity leads to an increase in another quantity
  • A negative correlation means with increase in one quantity the other quantity decreases.
  • Positive correlation means that the data sets are directly related with each other.

Thus, the correct answer is

Positive correlation  

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3 years ago
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Chris buys a car for $24,000. If the car loses value at a rate of 9% per year, what will it be worth in 5 years? Round to the ne
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A=p(1-r)^n
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