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Alex Ar [27]
3 years ago
6

A river has a current of 2km per hour. Find the rate of Fred’s boat in still water if it travels 30 km downstream and the same t

ime it takes to travel 14 km upstream.
Mathematics
1 answer:
ratelena [41]3 years ago
8 0

Answer:

32km

Step-by-step explanation:

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How many solutions does tan^-1 3 have in interval [0, 2 π)
zhuklara [117]
\bf tan^{-1}(3)\iff tan^{-1}\left( \frac{\pm 3}{\pm 1} \right)=\theta
\\\\\\
thus\qquad tan(\theta)=\cfrac{\pm 3}{\pm 1}\cfrac{\leftarrow opposite=y}{\leftarrow adjacent=x}

now, the angle of θ, can only have a "y" value that is positive on, well, y is positive at 1st and 2nd quadrants

and "x" is positive only in 1st and 4th quadrants

now, that angle θ, can only have those two fellows, "y" and "x" to be positive, only in the 1st quadrant, and also both to be negative on the 3rd quadrant.

and that those two fellows, can also be both negative in the 3rd quadrant
3/1 = 3, and -3/-1 = 3

so, the solutions can only be "3", when both "y" and "x" are the same sign, and that only occurs on the 1st and 3rd quadrants
6 0
2 years ago
Find the single number that will make these two expressions equivalent.
Triss [41]

Answer:

Which two expressions?

Step-by-step explanation:

7 0
2 years ago
Can y’all please help me ……
Goryan [66]

Answer:

Step-by-step explanation:

<u><em>( 8 ).</em></u> m∠1 = m∠ 4 = m∠ 5 = <em>m∠6 = 52°</em>

<em><u>( 9 ).</u></em> m∠ 2 = m∠ 3 = <em>m∠ 7</em> = m∠ 8 = 180° - 52° <em>= 128°</em>

5 0
2 years ago
Somebody confirm that I am not a complete moron please and thanks
Ann [662]

Answer:

B

Step-by-step explanation:

Triangle B because 128°>90°

3 0
2 years ago
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