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denis-greek [22]
4 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]4 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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Step-by-step explanation:

Equation of a line is y = mx + c

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3 years ago
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The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.
Dmitry [639]
The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
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by using proportion
men voters
\frac{360}{100} = \frac{130}{M}  \\ M=(100*130)/360 \\ M=36.11%

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6 0
4 years ago
2. Use the following picture for this question:
Art [367]

Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1

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