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Ira Lisetskai [31]
3 years ago
8

Ms. Harvey uses 70 ft of fencing to build a fence around a rectangular garden. The area of the garden is 300 square feet. What a

re the dimensions of the rectangular garden?
Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0
20+20+15+15=70
20times 15=300

The dimensions are 20 ft, 15 ft
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Simplificar as expressões<br><br> 7√32 - 5√2 + √8<br><br> 2√150 - 4√54 + 6√24
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We try to represent each number inside the square root as a product of a square and another number.

a) 7√32 - 5√2 + √8

√32  = √(16 *2) = √16 * √2  = 4* √2 =  4√2

√8 = √(4 *2) = √4 * √2  = 2* √2 = 2√2

7√32 - 5√2 + √8 = 7*(4√2) - 5√2 + 2√2 =
      
                         = 28√2  - 5√2 + 2√2          Factorize out √2

                           = (28 - 5 + 2)√2  

                          =  25√2      

b)      2√150 - 4√54 + 6√24       

√150 = √(25 * 6) = √25 * √6 = 5*√6 = 5√6

√54 = √(9 * 6) = √9 * √6 = 3*√6 = 3√6

√24 = √(4 * 6) = √4 * √6 = 2*√6 = 2√6


2√150 - 4√54 + 6√24 = 2*(5√6) - 4*(3√6) + 6*(2√6)

                                = 2*5√6 - 4*3√6 + 6*2√6

                                = 10√6  - 12√6 + 12√6        Factorize √6

                               =  (10 - 12 + 12)√6

                               =  10√6
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3.) Given the graph of the line represented by the equation f(x) = -3x + b,
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Answer: (4)

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2 years ago
What is the perimeter of a parallelogram, if it's area is 36 cm^2 and the distances between the point of intersection of the dia
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Answer:

The perimeter of a parallelogram is 30cm.

Step-by-step explanation:

From the question , the given area of a parallelogram is 36 cm².

But the area of a parallelogram can be calculated using below formula

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From the question the distances that exist between the point of intersection of the diagonals and the sides are 2cm and 3cm respectively

There is the same distance between point of intersection of the diagonals and the opposite sides then,

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Then the perimeter of the parallelogram can be calculated as

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= 2(6+9)

= 30cm

Hence,the perimeter of the parallelogram is 30cm

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3 years ago
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