Matematicarenje Test 5 Resenja test5

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  • 7/23/2019 Matematicarenje Test 5 Resenja test5

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    5

    1.

    ) 4

    3; )

    7

    5;

    ) 5

    8; )

    12

    1.

    2.

    . 10, 100, 1000, .

    .

    ) 4,0104 = ) 13,2

    100213

    10013

    100200

    100132 ==+= ) 6,0

    106

    2523

    53 ==

    = ) 625,01000625

    12581255

    85 ==

    =

    3.

    )19

    12

    17

    6 , , .

    4.

    10

    9

    18

    2 :

    1 2

    18

    1

    2

    9

    10

    5 10

    1

    52

    11

    5

    1

    2

    1=

    ==

    )

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    5.

    x y .

    a) 13 = xy ) 13 += xy

    x = -2 , y = 7 x = -2 , y = 7 x = -1, y = 4 x = 0 , y = 1 x = 1 , y = -2 x = 2 , y = -5

    7 = 3(-2) 1 7 = -3(-2) + 1 4 = -3(-1) + 1 1 = -30 + 1 -2 = -31 + 1 -5 = -32 +

    7 = -6 1 7 = 6 + 1 4 = 3 + 1 1 = 0 +1 -2 = -3 + 1 -5 = -6 +1

    7 = -7 7 = 7 4 = 4 1 = 1 -2 = -2 -5 = -5

    ! x )

    )

    6.

    cma 6=

    O = 3 a P =4

    32a

    O = 36 cm P = 22

    394

    336

    4

    36cm==

    O = 18 cm

    7.

    cmr 3=

    rO 2= 2rP=

    = 32O 23=P

    cmO 6=

    2

    9 cmP =

    8.

    g-

    )

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    9.

    130 + 130 : 5 + 84(-1) = 130 + 26 + (-84 ) = 130 + 26 84 = 72

    )

    10.

    4 4.

    ) 456 744 - 44 4 456 744 4

    ) 444 842 - 42 4 444 842 4

    ) 323 223 - 23 4 323 223 4

    ) 404 440 - 40 4 404 440 4

    ) )

    11.

    ( ) CCCCC 6650165016 =+=

    66

    )

    12.

    ) 18321 =++ xxx ) ( ) 313264 =++ xx

    3

    6

    18

    186

    =

    =

    =

    x

    x

    3

    10

    30

    3010

    13110

    31110

    313264

    =

    =

    =

    =

    =+

    =+

    x

    x

    x

    x

    x

    x

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    13.

    25 250 g

    8 X g

    25 : 8 = 250 : X

    25X = 2508

    X =25

    8250

    X = 80 g .

    14.

    a) 90

    21

    6990

    9069

    90

    1

    1

    1

    1

    =

    =

    =+

    =+

    ) 180

    68

    112180

    180112

    180

    1

    1

    1

    1

    =

    =

    =+

    =+

    ) 69= 211 =

    ) 112= 681 =

    15.

    48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

    :

    : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

    :

    = 72

    14

    2

    86==

    + 7.

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    :

    48 :

    = 4,1210

    124

    10

    48241612864321==

    +++++++++ : 12,4

    16.

    700 160

    700 160 = 540 .

    : 2 110 2110 = 220

    115 = 15

    380 = 240

    540 , 22 +15+240 = 475 , .

    540 ( 220 + 15 + 240 ) = 540 475 = 65 .

    17.

    ( ).

    :

    aO = 3 -

    cma

    a

    a

    6

    3

    18

    318

    =

    =

    =

    2

    2

    2

    2

    22

    336

    36

    3

    4

    34

    433

    43

    cmP

    P

    aP

    aP

    aaP

    BP

    =

    =

    =

    =

    +=

    +=

    )

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    18.

    242 cmM =

    cmH 3=

    cmr

    r

    r

    Hr

    7

    642

    3242

    2

    =

    =

    =

    =

    3

    2

    2

    147

    349

    37

    cmV

    V

    V

    HrV

    =

    =

    =

    =

    )

    19.

    t

    sV =

    min5

    12

    =

    =

    t h

    kmV

    5 = 5 60

    1=

    12

    1

    kmhh

    kmtVs 1

    12

    112 ===

    12h

    km 5 1 km .

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    20.