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Verified answer
1. a10 . 40 = jam 10 + 40 menit
→ Jarum pendek
10 x 30 = 300°
40/60 x 30 = 20°
Jarum pendek = (300 + 20)° = 320°
→ Jarum panjang
40 x 6 = 240°
→Sudut yang terbentuk = 320° - 240° = 80°
b) 01.45 = Jam 1 + 45 menit
→ Jarum pendek
1 x 30 = 30°
45/60 x 30° = 22,5°
Jarum pendek = (30 + 22,5)° = 52,5°
→ Jarum panjang
45 x 6 = 270°
→Sudut yang terbentuk = 270° - 52,5° = 217,5°
→Sudut terkecil = 360° - 217,5° = 142,5°
2.)
AE / AD = AC / AB
AE / 5 = (AE + 16) / (5 + 3)
AE / 5 = (AE + 16) / 8
8AE = 5(AE + 16)
8AE = 5AE + 80
8AE - 5AE = 80
3AE = 80
AE = 80 / 3
AE = 26,67 cm
AC = AE + EC
= 26,67 + 16
= 32,67 cm
Verified answer
Kelas 7 MatematikaBab Garis dan Sudut
1a] 10.40
Angka yang dilewati antara jarum menit dan jam adalah 3 angka, yaitu angka 10, 9, 8
Karena sama-sama di bagian kiri, maka lewat 40 = lewat 20
Sudut yang terbentuk
= (3 - 20/60) . 30°
= (2 3/3 - 1/3) . 30°
= 2 2/3 . 30°
= 8/3 . 30°
= 80°
1b] 01.45
Angka yang dilewati antara jarum menit dan jam adalah 8 angka, yaitu angka 2, 3, 4, 5, 6, 7, 8, 9
Sudut yang terbentuk
= (8 - 45/60) . 30°
= (7 4/4 - 3/4) . 30°
= 7 1/4 . 30°
= 29/4 . 30°
= 217,5°
Sudut terkecil
= 360° - 217,5°
= 142,5°
2] AD/AB = AE/AC
5/(5 + 3) = AE/(AE + 16)
5 (AE + 16) = 8AE
5 AE + 80 = 8 AE
80 = 8 AE - 5 AE
3 AE = 80
AE = 80/3
AE = 26 2/3 cm
AC = AE + 16
AC = 26 2/3 + 16
AC = 52 2/3 cm