Technology comes from the Greek root
, meaning art or craft.
For the Greeks, a straightedge and compass was technology.
The nice thing about a straightedge and compass construction of any length is that there's always a corresponding algebraic form consisting of natural numbers combined via addition, subtraction, multiplication, division and square rooting (of positive numbers). So we get an "exact" answer, at least using radicals.
Compare that to the typical calculating technology we use today where the square roots turn into approximations. The calculator is worse, turning an exact answer into an approximation.
Straightedge and compass constructions play a large role in the development of mathematics but they're not really better, it's just how things went. By restricting ourselves to straightedges (linear equations) and compasses (circles, quadratic equations) we restricted the possible lengths we could construct. Understanding exactly how propelled mathematics forward for a couple of thousand years.
If the areas of two equilateral triangles are 27 yd² and 75 yd², then the ratio of these areas is 27/75 = 9/25
If the ratios of the areas are 9:25, then their similarity ratio and the ratio of their perimeters is √9:√35 = 3:5.
3 : 5; 3 : 5 <==ANSWER
Answer:
11
Step-by-step explanation:
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Hello! To find the answer to this, we must add all of the first 5 numbers. When you do that, the sum should be 81. You must do 16 * 6 to find the number of points combined he needs to add up to the average. 16 * 6 = 96. 96 - 81 = 15. On the 6th test, you must score 15 points to have an average of 16 points. The answer is 15.