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srsnider2017
03.04.2020 •
Mathematics
A triangular pyramid has a base that is 31 feet and a height that is three times its base. What is the volume of the triangular pyramid?
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Ответ:
2,883
Step-by-step explanation:
Well the base of the triangle is
Ответ:
The sum is 73/99.
We start out with
0.737373... = 0.73 + 0.0073 + 0.000073 + 0.00000073 + ...
This is the same as
0.737373... = 0.73 + 0.73(0.01) + 0.73(0.0001) + 0.73(0.000001) + ...
Which is the same as
0.737373... = 0.73 + 0.73(0.01) + 0.73(0.01)² + 0.73(0.01)³ + ...
The term number, n, relates to the exponent; when n = 2, the exponent is 1; when n = 3, the exponent is 2; etc. This means the exponent is represented by n-1 in our series.
To find the sum, we see first that it is convergent because r = 0.01 < 1. We can find the sum using
a/(1-r), where a is the first term, 0.73:
0.73/(1-0.01) = 0.73/0.99 = 73/99