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kozerog [31]
4 years ago
5

Nayeli’s rectangular lawn has a perimeter of 126 meters. The ratio of the length of the lawn to the width of the lawn is 5:2. Wh

at is the width of Nayeli’s lawn?
Mathematics
1 answer:
MariettaO [177]4 years ago
6 0

Answer: The width of the lawn is equal to 18 meters

Step-by-step explanation: If we have a rectangular figure, and the perimeter has been given, what that means is that we already have the addition of all four sides, which is equal to the perimeter, 126 meters in this instance.

However, we are also given the ratio of the two sides as being 5:2

That is, the ratio of the length to the width.

If the ratio is 5:2, then to calculate the length would be 5/7 ( that is, 5/{5+2} ). Similarly to calculate the width would also be expressed as 2/7 ( that is, 2/{5+2} ).

With that in mind, the length can be calculated as

{5/7} × 126

= 90

Remembering that the perimeter is calculated as

Per = 2L + 2W

Then it follows that 90 = 2L

Then L = 90/2

L = 45

Same goes for the width

{2/7} × 126

= 36

Note also that

36 = 2W

Then W= 36/2

W = 18

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IgorLugansk [536]
Put the given information into the formula and solve for the variable of interest.
.. V = π*r^2*h
.. 24 = π*(h/3)^2*h
.. 24 = π/9*h^3
.. 9*24/π = h^3
.. ∛(216/π) = h
.. h = (6/π)√(π^2) ≈ 4.097 . . . . units

The height of the cylinder is about 4.097 units.
5 0
3 years ago
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How to solve 2×4÷3+5
Nataly [62]

You will need to follow order of operations, which states that operations must be completed in the following order: parentheses, exponents, multiplication and division, and then addition and subtraction.


In this case, there are no parentheses and no exponents, so we will start with the multiplication and division:

2 \cdot 4 \div 3 + 5 = (2 \cdot 4 \div 3) + 5

\Bigg(\dfrac{8}{3} \Bigg) + 5


Now, we will finish by doing addition and subtraction:

\Bigg(\dfrac{8}{3} \Bigg) + 5 = \dfrac{8}{3} + \dfrac{15}{3}

\dfrac{8 + 15}{3}

\boxed{\dfrac{23}{3}}


Our answer is \boxed{\dfrac{23}{3}}.

3 0
3 years ago
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Write a system of linear equations that has the ordered pair (1,4) as it's solition
Lemur [1.5K]

The required system of equations is x+y=5\\x-y=-3

Step-by-step explanation:

We need to write a system of linear equations that has the ordered pair (1,4) as it's solution.

It means we need to find  system of linear equations, which after being solved gives x=1 and y=4

Let the system of equations be:

x+y=5\\x-y=-3

I have made equations such that adding x+y gives 5 i,e (1+4=5) and subtracting x-y gives -3 (1-4=-3)

Now solving this system of equations to find value of x:

x+y=5\,\,eq(1)\\x-y=-3\,\,eq(2)

Adding eq(1) and eq(2)

x+y=5\\x-y=-3\\-----\\2x=2\\x=1

Putting value of x=1 into eq(1) to find value of y

x+y=5\\1+y=5\\y=5-1\\y=4

The solution set after solving system of equations is (1,4).

The required system of equations is x+y=5\\x-y=-3

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

7 0
3 years ago
Find the slope using points: (2,5) and (8,9)
Katena32 [7]

Answer: The slope is 2/3:)

Step-by-step explanation: (2,5) and (8,9)

9-5 =4 /2=2

8-2 =6 /2= 3

7 0
3 years ago
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Plsssss answer thisss!!! will mark brainliest!
shutvik [7]

Answer:

35

Step-by-step explanation:

35 is the answer, it cant be 15 due to red being 21 MORE  

5 0
3 years ago
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