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Dmitry [639]
3 years ago
11

a new neighborhood activity complex is being built in juctioncity. the perimeter of the rectangular playing field is 362 yards.

the length of the field is 3 yards less than triple the width. what are the demensions of the playing field?
Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0

Answer:

  • width: 46 yards
  • length: 135 yards

Step-by-step explanation:

Let w represent the width of the playing field in yards. Then the length is 3w-3. The perimeter is given by ...

  P = 2(L+W)

  362 = 2((3w-3) +w)

  181 = 4w -3

  184 = 4w

  46 = w

  3(46)-3 = 135 . . . length

The playing field is 46 yards wide and 135 yards long.

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bulgar [2K]

Answer:

-8k - 15

Step-by-step explanation:

5(-2k-3)+2k

At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -

[(-) x (-) = (+); (+) x (-) = (-)]

Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.

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6 0
3 years ago
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Answer:

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Step-by-step explanation:

The wave equation is given generally as:

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Where A = amplitude

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x = horizontal distance moves by the wave.

t = time

The options show to us that the wave depends only on t and not (x, t).

Hence, the wave equation becomes:

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6 0
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Can someone help me in this plssss I really need it
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Answer:

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Step-by-step explanation:

Your expression is

\sqrt [3] {-54x^{5}y^{6}}

Here's how I would simplify it.

\begin{array}{rcll}\sqrt [3] {-54x^{5}y^{6}} & = & \sqrt [3] {(-1)^{3}\times 2 \times 27 \times x^{2} \times x^{3} \times y^{6}} & \text{Factored the cubes}\\& = & \sqrt [3] {(-1)^{3} \times 3^{3}\times x^{3} \times y^{6}\times 2 \times x^{2}} & \text{Grouped the cubes}\\\end{array}

\begin{array}{rcll}& = & \sqrt [3] {(-1)^{3} \times {3^{3}\times x^{3} \times y^{6}}} \times\sqrt [3] { 2 \times x^{2}} & \text{Separated the cubes}\\&=& \mathbf{-3xy^{2}\sqrt [3] {2x^{2}}} & \text{Took cube roots}\\\end{array}

\text{The simplified expression is $\boxed{\mathbf{-3xy^{2}\sqrt [3] {2x^{2}}}}$}

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4 0
3 years ago
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