Matematika

Pertanyaan

tolong kerjakan nomor 1,2,3,4,dan5 pakai cara..
besok dikumpul..
tolong kerjakan nomor 1,2,3,4,dan5 pakai cara.. besok dikumpul..

2 Jawaban

  • Semoga bermanfaat ya
    Gambar lampiran jawaban chandra4141
    Gambar lampiran jawaban chandra4141
  • 1). Misal,
    harga 1 pasang sepatu = x
    harga 1 buah tas = y

    3x + 5y = 290.000 |×2| 6x + 10y = 580.000
    4x + 2y = 200.000 |×5| 20x + 10y = 1.000.000

    Eliminasi
    6x + 10y = 580.000
    20x + 10y = 1.000.000
    __________________-
    -14x = -420.000
    x = -420.000/-14
    x = 30.000

    Substitusi
    3x + 5y = 290.000
    3(30.000) + 5y = 290.000
    90.000 + 5y = 290.000
    5y = 290.000 - 90.000
    5y = 200.000
    y = 200.000/5
    y = 40.000

    Harga 2 pasang tas dan 2 pasang sepatu
    = 2x + 2y
    = 2(30.000) + 2(40.000)
    = 60.000 + 80.000
    = 140.000

    2).
    x² - 3x - 28 = 0
    (x + 4)(x - 7) = 0
    x + 4 = 0/ x - 7 = 0
    x = -4/x = 7
    3).
    Keliling kebun = π × d
    Keliling kebun = 22/7 × 42
    Keliling kebun = 132 m

    Jarak antarpohon = 4 m
    Banyak pohon akasia yang ditanam
    = Keliling kebun/jarak antar pohon
    = 132/4
    = 33 pohon
    4).
    Keliling kubus = 4 × s
    60 = 4 × s
    s = 60/4
    s = 15 cm

    Luas permukaan kubus = 6 × s²
    = 6 × 15²
    = 6 × 225
    = 1.350 cm²

    Volume = s × s × s
    = 15 × 15 × 15
    = 3.375 cm³

    5).
    Luas permukaan balok tanpa tutup
    = pl + 2pt + 2lt
    = (12 × 9) + 2(12 × 2) + 2(9 × 2)
    = 108 + 2(24) + 2(18)
    = 108 + 48 + 36
    = 192 m²