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Anestetic [448]
3 years ago
7

a rectangular parking lot has an area of 7/10 square kilometer the width is 1/3 kilometer what is the length of the parking lot

written as an improper fraction in kilometers
Mathematics
1 answer:
Virty [35]3 years ago
5 0

Answer:

2\frac{1}{10} km

Step-by-step explanation:

We are given;

  • The are of a rectangle as 7/10 km²
  • Width of the rectangle is 1/3 km

We are required to find the length of the rectangle;

We need to know how to find the area of a rectangle first;

Area of rectangle = Length × Width

Rearranging the formula;

Length = Area of rectangle ÷ Width

            = 7/10 km² ÷ 1/3 km

   We get;

           =\frac{7}{10} *\frac{3}{1}

           =\frac{21}{10}

           =2\frac{1}{10} km (improper fraction)

Thus, the length of the rectangular park is 2\frac{1}{10} km

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Find all real solutions to the equation (x² − 6x +3)(2x² − 4x − 7) = 0.
Jet001 [13]

Answer:

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ;  x = \frac{2-(3)\sqrt{2}}{2}

Step-by-step explanation:

Relation given in the question:

(x² − 6x +3)(2x² − 4x − 7) = 0

Now,

for the above relation to be true the  following condition must be followed:

Either  (x² − 6x +3) = 0 ............(1)

or

(2x² − 4x − 7) = 0 ..........(2)

now considering the equation (1)

(x² − 6x +3) = 0

the roots can be found out as:

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thus,

the roots are

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or

x = \frac{6\pm\sqrt{36-12}}{2}

or

x = \frac{6+\sqrt{24}}{2} and, x = x = \frac{6-\sqrt{24}}{2}

or

x = \frac{6+2\sqrt{6}}{2} and, x = x = \frac{6-2\sqrt{6}}{2}

or

x = 3 + √6 and x = 3 - √6

similarly for (2x² − 4x − 7) = 0.

we have

the roots are

x = \frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-7)}}{2\times(2)}

or

x = \frac{4\pm\sqrt{16+56}}{4}

or

x = \frac{4+\sqrt{72}}{4} and, x = x = \frac{4-\sqrt{72}}{4}

or

x = \frac{4+\sqrt{2^2\times3^2\times2}}{2} and, x = x = \frac{4-\sqrt{2^2\times3^2\times2}}{4}

or

x = \frac{4+(2\times3)\sqrt{2}}{2} and, x = x = \frac{4-(2\times3)\sqrt{2}}{4}

or

x = \frac{2+3\sqrt{2}}{2} and, x = \frac{2-(3)\sqrt{2}}{2}

Hence, the possible roots are

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ; x = \frac{2-(3)\sqrt{2}}{2}

7 0
2 years ago
100% is 75 oranges what percent is 250 oranges?
Whitepunk [10]

Answer:

x=333.33%

Step-by-step explanation:

hello

you can resolve this by using the rule of 3,let´s see

75 oranges =100%

250 oranges = x%?

75 oranges* x%=250 oranges *100%

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Have a great day.

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Answer:

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5 0
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