Last year, Lien earned $1,600 more than her husband. Together they earned $51,000. How much did each of them earn?
1 answer:
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Divide both sides by to get
Substitute , so that
. Then
The remaining ODE is separable. Separating the variables gives
Integrate both sides. On the left, split up the integrand into partial fractions.
Then
On the right, we have
Solving for explicitly is unlikely to succeed, so we leave the solution in implicit form,
and finally solve in terms of by replacing
:
Answer:
The bird has to fly 7.5 m
Step-by-step explanation:
Please see diagram in attached image.
Notice that there is a right angle triangle that defines the situation, and you know two elements of such triangle;
1) one acute angle (), and
2) the side opposite to that angle.
What you need to find is the side adjacent to the angle, which is what the bird needs to fly horizontally to be above the fish. We named that "x".
The trig function that relates such triangle elements is the tangent:
which rounded to the nearest tenth is: 7.5 m
