Matematika

Pertanyaan

tolong hitung no. 7-10 ya kak
tolong hitung no. 7-10 ya kak

1 Jawaban

  • 7.)
    Jarak antar titik pusat = 16 + 13 +11 = 40 cm
    GSPD = √(40² - (13 + 11)²) = √(40² - 24²) = 32 cm (B.)

    8.)
    Jarak pusat² = GSPD² + (R + r)²
    (R + r)² = Jarak pusat² - GSPD²
    (R + r)² = 20² - 16²
    (R + r) = 12

    Perb. jari-jari = 1:3
    12 = 3x + x
    12 = 4x
    x = 3

    R = 3x = 3(3) = 9
    r = x = 3
    (C.)

    9.)
    Jarak pusat² = GSPD² + (R + r)²
    (3r)² = 12² + (r + r - 1)²
    9r² = 144 + (2r-1)²
    9r² = 144 + (4r² - 4r + 1)
    5r² + 4r - 145 = 0
    (5r + 29)(r - 5) = 0
    r = 5 (D.)

    10.)
    Jarak pusat² = GSPL² + (R - r)²
    26² = 24² + (R - r)²
    (R - r)² = 26² - 24²
    R - r = 10
    R - 15 = 10
    r = 25cm (E.)

    ^^