You are asked to design a new set of coins. All coins will be circular and coloured silver, but of different diameters. Researchers have found out that an ideal coin system meets the following requirements:
• diameters of coins should not be smaller than 15 mm and not be larger than 45 mm.
• given a coin, the diameter of the next coin must be at least 30% larger.
• the minting machinery can only produce coins with diameters of a whole number of millimetres (e.g. 17 mm is allowed, 17.3 mm is not).. Question 1: You are asked to design a set of coins that satisfy the above requirements. You should start with a 15 mm coin and your set should contain as many coins as possible. What would be the diameters of the coins in your set?
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Answer:
15mm, 20mm, 26mm, 34mm, 45mm
Step-by-step explanation:
these can be computed by calculating the 30% increase in area
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