A metal bar of mass 3.6kg is cut into two pieces in the ratio 3:5. The length of the shorter piece is 45cm. Find a)the length of the longer piece. b)the length
Matematika
hyojoo1
Pertanyaan
A metal bar of mass 3.6kg is cut into two pieces in the ratio 3:5. The length of the shorter piece is 45cm. Find
a)the length of the longer piece.
b)the length of the original metal. bar
c)the mass per unit length of the bar in kg/m
d)the mass of the shorter piece.
a)the length of the longer piece.
b)the length of the original metal. bar
c)the mass per unit length of the bar in kg/m
d)the mass of the shorter piece.
1 Jawaban
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1. Jawaban algebralover
The Ratio of length is 3 : 5
The length of the shorter piece = 45 cm
a) The length of the longer piece (x = ?)
[tex] \frac{3}{5}= \frac{45}{x} \\ \\ 3x = 45 \times 5 \\3x=225 \\ \\ x= \frac{225}{3} \\ \\ x= 75\ cm [/tex]
b) The length of the original is
= 45 cm + 75 cm
= 120 cm or 1,2 m
c) The mass per meter is
= 3,6 kg / 1,2 m
= 3 kg/m
d) The mass of the shorter piece
= 3 kg/m × 0,45 m
= 1,35 kg