2122-4h decada

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  • 1

    4

    31. = 52 42 + 3 = 4(23 5) + 24:3 ) ) )

    )

    %

    ) = 52 42 + 3 = 25 16 + 3 = 12 = 4(23 5) + 24:3 = 4(8 5) + 24:3 = 43 + 24:3 = 12 + 8 = 20 ) = 12 = 34 = 322 = 20 = 54 = 522 ) (12 , 20) = 22 = 4

    =

    1220

    = 12 : 420 : 4

    =35

    )

    =

    1220

    =60

    100= 60%

    32 . x y, . ) .

    ) x y.

    ) 6 y

    x=

    26

    =13

    y = 13

    x x = 3y

    x = 1 y = 13

    , y = 6 x = 18

    y = 4 x = 12 , x = 4 y = 43

    , y = 1 x = 3

    x 1 4 6 y 6 4 2 1

    x 1 18 12 4 6 3

    y 13

    6 4 43

    2 1

  • 2

    )

    11, 3

    , (18, 6) , ( 12 , 4) ,

    44, 3

    , (6, 2) (3, 1)

    33 . .

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    12

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    6

    4/31/3

    12 186431

  • 3

    34. :

    = (62 + 34 47)2014 + (33 39) 2015 = (32 23) 2 + (4 5)( 1) = 8(7 5) (2 3) 34 ) , ) = 1 , = 3 = 5 : i) AB + ( + A ): ii) 2 + 2 + 2 ( )1000 iii) 42 + ()2 2

    ) = (62 + 34 47)2014 +(33 39) 2015 = (36 + 34 47)2014 +(27 39) 2015 = = (36 + 12 47)2014 +(27 27) 2015 = = 12014 + 0 2015 = 1 + 0 = 1 = (32 23)2 + (4 5)( 1) = (9 8)2 + (4 5)( 1) = = 12 + ( 1)( 1) = = 2 + ( +1) = 2 + 1 = 3 = 8(7 5) (2 3) 34 = 82 ( 1) 34 = = 16 ( 1) 12 = = 16 + 1 12 = 5 ) i) AB + ( + A ): = 13 + (5 + 1):3 = 3 + 6:3 = 3 + 2 = 5 ii) 2 + 2 + 2 ( )1000 = 12 + 32 + 52 (5 1 3)1000 = 1 + 9 + 25 11000 = = 1 + 9 + 25 1= 34 iii) 42 + ()2 2 = 432 + (15)2 123 = = 49 + 52 13 = = 36 + 25 3= 58

  • 4

    35. . 1800 ,

    2200 23

    .

    ) ) ) 25%, ; ) ,

    .

    )

    231800 = 1200

    ) 1800 + 2200 + 1200 = 5200 )

    25100

    2200 = 550.

    2200 550 = 1650 ) 550 , 1200 + 550 = 1750 .

    17505200

    0,337 = 33,7100

    = 33,7%

    .

    36. = (32 4)3 (62:3) + 2 = 3(34 + 22) (52 71) :13 . = 5 = 30. . (, ) (, ), () . x y

    , ,

    ()

    ) = (32 4)3 (62:3) + 2 = (9 4)3 (36:3) + 2= 53 12 + 2 = 15 12 + 2 = 5 = 3(34 + 22) (52 71) :13 = 3(12 + 4) (25 7) :1= 316 18 :1 = 48 18= 30 ) = 5 = 56 = 523 (, ) = 5 (, ) = 523=30 ) = 5 = 30

    yx

    = 62

    = 3 = 155

    =3010

    x y

    x 2 A 10 y 6 15 B

    x 2 5 10 y 6 15 30

  • 5

    37 .

    = (25 + 3)2 + 23:4 + 22 = 2(45 10) (12:3) + (1) 2014 i) = 50 = 25 ii) = + , (i) , 3 5 . iii) i) |2| | | + ||

    i) = (25 + 3)2 + 23:4 + 22 = (22)2 + 8:4 + 4 = = (44) + 2 + 4 = = 44 + 2 + 4 = 50 = 2(45 10) (12:3) + (1) 2014 = 2(20 10) (4) + (+ 1) = = 210 + 4 + 1= = 20 + 4 + 1 = 25 ii) = + = 50 + 25 = 75 5, 5. 12, 3, 3 iii) = 50 = 225 = 252 = 25 = 52 i) |2| | | + || = |250| |25 50| + |25| = = |100| | 25| + |25| = =100 25 + 25 =100

    38. 60 , 30 50 . , 20% , 25% 30% . ) . ) .

    )

    20100

    60 = 12

    60 12 = 48

    25

    10030 = 7,5

    30 7,5 = 22,5

    30

    10050 = 15

    50 15 = 35

  • 6

    ) 60 + 30 + 50 = 140 , 12 + 7,5 + 15 = 34 ,5

    34,5140

    0, 246 = 24,6100

    = 24,6%

    .

    39 . xx yy 63. ) , , ) : i)

    ii)

    ) = = 63 . = 90 = 90o xx yy . = = 90o + 63 = 90o = 27 )

    40. 5300 . 35% , .

    (30 ) 35 , .

    35

    1005300 = 1855 .

    5300 1855= 3445 30 + 35 = 65 . 3445 : 65 = 53 . 5330 = 1590 3445 1590 = 1855

    = 63

    y

    y

    x x