A will be the right answer
"Conjeture" is not one of the three categories of Euclid's geometric principles.
Euclidean geometry begins with Euclid's Elements, which is both a sum of the geometric knowledge of the time and an attempt to formalize this knowledge mathematically.
The notions of straight line, plane, length, area are exposed there and form the support of elementary geometry lessons. The conception of geometry is intimately linked to the vision of the ambient physical space in the classical sense of the term.
Learn more about Euclid in brainly.com/question/1674393
Answer:
Below in bold.
Step-by-step explanation:
Work in times to fill 1 pail:-
tap A takes 55/4 seconds
tap B takes 50/3 seconds
Let time to fill one pail be x when filling together, then:
3/50 + 4/55 = 1/x
165x + 200x = 55*50
x = 2750 /(365) = 7.5342 seconds
To fill 16 pails it takes 7.5342* 16
= 120.55 seconds
= 2 minutes 1 second to the nearest second..
Answer:
Of the given geometric sequence, the first term a is 6 and its common ratio r is 2.
Step-by-step explanation:
Recall that the direct formula of a geometric sequence is given by:
Where <em>T</em>ₙ<em> </em>is the <em>n</em>th term, <em>a</em> is the initial term, and <em>r</em> is the common ratio.
We are given that the fifth term <em>T</em>₅ = 96 and the eighth term <em>T</em>₈ = 768. In other words:
Substitute and simplify:
We can rewrite the second equation as:
Substitute:
Hence:
![\displaystyle r = \sqrt[3]{\frac{768}{96}} = \sqrt[3]{8} = 2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B768%7D%7B96%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B8%7D%20%3D%202)
So, the common ratio <em>r</em> is two.
Using the first equation, we can solve for the initial term:
In conclusion, of the given geometric sequence, the first term <em>a</em> is 6 and its common ratio <em>r</em> is 2.
