10. The ratio compounded of 4:9, the duplicate ratio of 3 : 4, the triplicate ratio of 2: 3 and 9: 7 is
(a) 2:7
(b) 7:2
(c) 2:21
(d) none of these
mnounded of dunlimate ratio of 4:5, triplicate ratio of 1:3, sub duplicate ratio of
Answers
Answer:
Compounded ratio is for two given ratios, for example a:b and c : d are two ratios, then their compounded ratio = ac : bd.
Duplicate ratio for a given ratio a : b is a² : b²
Triplicate ratio for a given ratio a : b is a³ : b³
sub-duplicate ratio for a given ratio a : b is √a : √b
sub-triplicate ratio for a given ratio a : b is ∛a : ∛b
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Ratio compounded of ratio 4 : 9 with itself will be its duplicate ratio
Duplicate ratio of 3 : 4 is 3² : 4² or 9 :16
Triplicate ratios of 2/3 and 9/7 will be 2³ : 3³ and 9³ : 7³ ,i.e., 8/27 and 729 / 343.
However, if you want to find compounded ratio of 2/3 and 9/7, then it will be (2x9) / (3x7) = 18 / 21 = 6/7
Step-by-step explanation:
hope it helps you ❣️
Answer:
The duplicate ratio of 3:4 is 3^2/4^2 = 9/16. The triplicate ratio of 2:3 is 2^3/3^3 = 8/27. Now we have 4 ratios: 4:9, 9:16, 8:27 and 9:7. We have to calculate the ratio compounded of all these ratios.Aug 27, 2019