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2 years ago

a rectangle 24 meters long has the same area as a square with 12 meter sides. what are the dimensions of the rectangle?

Mathematics

1 answer:

Sav [38]2 years ago

8 0

12*12=144

144/24=6

The dimensions of the rectangle are 24 by 6

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Which collection of three side lengths will not form a triangle

dezoksy [38]

Answer:

Any collection of lengths (a, b, c) which do not satisfy the triangle inequalities.

Step-by-step explanation:

Any collection (a, b, c) which do not satisfy the triangle inequalities. The inequalities:

a + b > c

b + c > a

a + c > b

You will need to test all of your options on the three inequalities above. If any one of the three fails, the collection won't work.

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3 years ago

Solve x2 + 1/2x +1/16=4/9

kolezko [41]

Answer:

x = 0.417 or x = -0.917

Step-by-step explanation:

We are given the following expression and we are to solve it for the variable x:

$x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 }$

We will find the least common multiple of 2. 6 and 9:

$x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144$

Simplifying it to get:

$144x^2+72x+9=64$

$144x^2+72x+9-64=0$

$144x^2+72x-55=0$

Using the quadratic formula to solve for x:

$x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}$

$x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}$

$x=\frac{5}{12}$ or $0.417$

$x=-\frac{11}{12}$ or $-0.917$

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3 years ago

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Step-by-step explanation:

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