Final answer:
The least number of tires the trailer should have to support the yacht adequately is 12 tires.
Step-by-step explanation:
To support the yacht adequately, we need to ensure that the total weight of the yacht is evenly distributed among the tires on the trailer. Since each tire can support up to a maximum of 7000N, we need to determine how many tires are required to support the weight of the yacht.
Let's calculate the weight of the yacht by using the formula: weight = mass x acceleration due to gravity.
Weight = 8300 kg x 9.8 m/s^2 = 81340 N
To determine the least number of tires required to support this weight, we divide the weight by the maximum weight each tire can support: 81340 N / 7000 N = 11.62
Since we can't have partial tires, we round up to the nearest whole number. Therefore, the least number of tires the trailer should have to support the yacht adequately is 12 tires.