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a_sh-v [17]
4 years ago
14

Rafael is training for a triathlon, which includes ​

Mathematics
2 answers:
g100num [7]4 years ago
6 0

Answer:

The three typical components of triathlon: swimming, cycling, and running. While variations of the sport exist, the most common form includes swimming, cycling, and running over various distances. Triathletes compete for fastest overall course completion, including timed transitions between the three races.

Step-by-step explanation:

:)

dybincka [34]4 years ago
3 0

Answer:

At least 8–12 weeks of consistent training before a triathlon. Each week, plan to train 4–6 hours of total exercise time over five days.

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Step-by-step explanation:

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How many solutions does a triangle with side lengths a = 4, A = 112º and b =<br>9 have?​
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Answer:

This case has NO solutions.

Step-by-step explanation:

Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.

This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":

\frac{sin(A)}{a} =\frac{sin(B)}{b}\\sin(B)=\frac{b\,sin(A)}{a}\\sin(B)=\frac{9\,sin(112^o)}{4}\\\\sin(B)=2.086

As shown above, we get an impossible mathematical condition (also call an absurd), since the sine of an angle cannot give a value larger than 1 (one).

Therefore, there is no angle we can find to build a triangle with the given data.

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Step-by-step explanation:

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