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denis-greek [22]
3 years ago
13

The area of a playground is 12 square yards. The length of the playground is 3 times longer than its width. Find the length and

width of the playground.
Mathematics
1 answer:
marishachu [46]3 years ago
6 0

Answer:

Width is 2 and Length is 6

Step-by-step explanation:

  1. As the data is given, the area of a playground is 12 square yards.
  2. The length of the playground is 3 times longer than its width.  
  3. Let width is x, length is 3 times therefore, length = 3x

As we know the formula for area,

  • Area=length x width.

So by putting values in this formula,

  • 12sq = (3x)(x)  

=> 3x2 = 12

=> x2 = 12/3,

=> x2 = 4 ,

by taking square root we get x= 2,

  • the width is 2 and length is 3 times hence, length is 3(2) = 6.  
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▹ Answer

<em>(-1, 3)</em>

▹ Step-by-Step Explanation

y - 4x = 7

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<u>Substitute</u>

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<u>Solve</u>

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(x, y) = (-1, 3)

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4 0
4 years ago
What fraction is equal to 3 1/9 ?
Masteriza [31]

Answer:

28/9

Step-by-step explanation:

We will have to convert the given question into improper fraction before solving

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3 1/9

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The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3
Alekssandra [29.7K]

Answer:

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Step-by-step explanation:

Since, the surface area of a cylinder,

A= 2\pi r^2 + 2\pi rh  ................(1)

Where,

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h = height,

If A= 36\pi\text{ square meters}, h = 3\text{ meters}

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18 = r^2 + 3r

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r^2 + 6r - 3r - 18 = 0     ( by middle term splitting )

r(r+6)-3(r+6)=0

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By zero product property,

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\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})

∵ h = constant, ⇒ dh/dt = 0,

\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}

We have, \frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}

9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}

9\pi = (12\pi + 6\pi )\frac{dr}{dt}

9\pi = 18\pi \frac{dr}{dt}

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Now,

Volume of a cylinder,

V=\pi r^2 h

Differentiating w. r. t. t,

\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}

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saveliy_v [14]

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