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qaws [65]
3 years ago
14

The Mississippi River flows at 16,790 cubic meters per second.

Mathematics
1 answer:
Olenka [21]3 years ago
8 0

Answer:

Time taken is 1.45\times 10^8\textrm{ s}.

Step-by-step explanation:

Given:

Volume of Gulf of Mexico, V=2434000000000000=2.434\times 10^{12}\textrm{ }m^3

Flow rate of the Mississippi River, f=16790=1.679\times 10^4\textrm{ }m^{3}/s

Now, time taken to fill the volume of Gulf of Mexico is given as:

Time=\frac{\textrm{Total volume}}{\textrm{Flow rate}}\\\\Time=\frac{2.434\times 10^{12}}{1.679\times 10^{4}}=1.45\times 10^{8}\textrm{ s}.

Therefore, the time by the Mississippi River to fill the volume of the Gulf of Mexico is 1.45\times 10^8\textrm{ s}.

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In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AH=HC+2 and BC=2, find HC.
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Answer:

  HC = 1

Step-by-step explanation:

AC = HC +AH = HC +(HC+2) = 2·HC +2

The altitude divides the triangle into similar triangles, so the ratio of hypotenuse to short side is the same for all. That is ...

  BC/HC = AC/BC

  2/HC = (2HC +2)/2

  4 = 2(HC)(HC +1) . . . . . cross multiply

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The useful solution is ...

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