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On March 30, 1796, Gauss discovered that it was possible to construct a regular polygon with seventeen sides using a straightedge and compass. This was the first new construction of a regular polygon since the time of Euclid. The discovery, made when Gauss was only eighteen years old, persuaded him to make mathematics his career.
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Did Carl Friedrich Gauss have any awards?
Yes. Maths
Who invented the fundamental theorem of algebra?
Carl Friedrich Gauss...
What are Carl Friedrich Gauss accomplishments?
At 24 years of age, he wrote a book called Disquisitines Arithmeticae, which is regarded today as one of the most influential books written in math. He also wrote the first modern book on number theory, and proved the law of quadratic reciprocity. In 1801, Gauss discovered and developed the method of least squares fitting, 10 years before Legendre, unfortunately, he didn't publish it. Gauss proved that every number is the sum of at most three triangular numbers and developed the algebra of congruences.
Mr. Stone started from home on a trip planning to average 30 mph How fast must his son Carl plan to travel in order to overtake him in 3 hours if Carl started 1 hour after his father?
After one hour, Mr. Stone is 30 miles away from home, so he his lead over Carl is 30 miles.In order to close the lead, Carl must cover 30 miles morethan Mr. Stone in the next 3 hours.His speed must be (30/3) = 10 miles per hour faster than Mr. Stone's speed.Carl must move at (30 + 10) = 40 mph.
If Devin throws a football 7 and a third yards and Carl throws it 2 and a half times farther than Devin then how much farther did Carl's throw travel than Devin's?
The answer is the difference between the lengths, which is 11 yards (or 33 feet).To find the answerIt is easier to first express the first distance in feet and eliminate the fraction.7 1/3 yards x 3 = 22 feetTo find the second distance, multiply by 2 1/2. (22 x 2 1/2 = 55 feet)Subtract to find the difference 55-22 = 33 feet, which is 33/3 or 11 yards.To find the answer by multiplying fractions (which is the point of the problem)The second distance, the distance Carl threw the ball, is 7 1/3 x 2 1/2.To multiply mixed fractions (like 7 1/3), it's a good idea to convert them to improper fractions first. 7 1/3 = 22/3 and 2 1/2 = 5/222/3 x 5/2 = 110/6 = 18 2/6 yards = 18 1/3 yards (55 feet).Subtracting Devin's distance, 18 1/3 - 7 1/3 = 11 yards (33 feet).
