Answer:
Step-by-step explanation:
Let
D(t) = the distance to the safe zone (measured in meters)
t = time (measured in seconds)
<u>Given:</u>
Rachel's rate = 24 meters per second
At seconds meters
<u>Find:</u> D(t)
Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative.
Hence, the function expression is
To find b, substitute and
So,
Answer:
2 hours
Step-by-step explanation:
Let x mph be the speed of motorboat in still water and y mph be the speed of current.
A raft and a motorboat simultaneously leave from the same point and move down the river, then speeds down the river are:
motorboat = x + y mph
raft = y mph
In two hours they will cover:
motorboat = 2(x+y) miles
raft = 2y miles
After 2 hours the motorboat turns around and starts moving towards the raft (against the current), so its speed is now x - y mph.
Let t be the time they move towards each other. In t hours, they cover
motorboat = t(x - y) miles
raft = ty miles
The distance from the starting point to the turning point is the same as the sum of the distances the raft covers and the motorboat covers after turning around, so
To solve the problem we must know about Sine Rule.
<h3>What is
Sine rule?</h3>
The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,
where
- Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
- Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
- Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.
The value of w is 4.0 cm.
Given to us
- VW = 3.3 cm,
- ∠U = 31°,
- ∠W = 39°,
<h3>Using the sine law,</h3>
Substitute the values,
w = 4.03224 cm ≈ 4.0 cm
Hence, the value of w is 4.0 cm.
Learn more about Sine Rule:
brainly.com/question/17289163
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