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matrenka [14]
1 year ago
7

The length of a rectangle is 3 inches more than the width. The area is 10 square inches. Find the dimensions

Mathematics
1 answer:
mr_godi [17]1 year ago
6 0

Answer:

Width = 2

Length = 5

Step-by-step explanation:

let A be the area of the rectangle

   L be the length of the rectangle

   w be the width of the rectangle

<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’

A = L × w

…………………………………………………

A = L × w

⇔ 10 = (w + 3) × w

⇔ 10 = w² + 3w

⇔ w² + 3w - 10 = 0  

<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 =  0 :

Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49

then √Δ = 7

\Longrightarrow w=\frac{-b+\sqrt{\Delta } }{2a} =\frac{-3+7}{2} =2

  or\ w=\frac{-b-\sqrt{\Delta } }{2a} =\frac{-3-7}{2} =-5

-5 is not valid ,because w represents the width

which must be a positive number

Then  w = 2

<u><em>Conclusion</em></u>:

Width = 2

Length = 2 + 3 = 5

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Find the midpoint between two points on a coordinate plane whose coordinates are (5.7) and (-3, 1).
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Step-by-step explanation:

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When Samuel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a
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Answer:

z=\frac{x-\mu}{\sigma}

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So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

Step-by-step explanation:

Let X the random variable that represent the amount of time it takes him to arrive, and for this case we know the distribution for X is given by:

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And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

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Answer:

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Step-by-step explanation:

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32 44 25 66 27 12 62 9 51 4 17 50 35 99 30 21 12 53 25 2 18 24 84 30 17 17

Reordered data : 2, 4, 9, 12, 12, 17, 17, 17, 18, 21, 24, 25, 25, 27, 30, 30, 32, 35, 44, 50, 51, 53, 62, 66, 84, 99

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Median = (13 + 14)th / 2

Median = (25 + 27) / 2 = 26

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4 0
2 years ago
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