Given that the distance between Alice and Bob is 1000 feet and their running speed is 10 feet per second and the speed of bird is 20 feet per second.

Distance equals speed multiplied by time.

Distance between Alice and Bob=1000 feet.

Distance between the bird and Bob=1000 feet.

Speed of Alice and Bob=10 feet per second.

The combined speed of Alice and Bob=20 feet per second.

Since the two are running directly toward each other the distance each will cover at the meeting point is 50 feet (1000/20)

The time covered at the meeting point=20 second (1000/50)

Speed of the bird=20 feet per second.

The distance covered by the bird towards Bob at their meeting point is 40 feet(20 feet*20 seconds).

Hence the distance the bird has flown by the time Alice and Bob meet is 40 feet.

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2 years ago

Need help this is on acellus

madam [21]

The complete inequality is -2 < x < 35

<h3>How to determine the range of value of x?</h3>

The figure attached to the question is the given parameter

From the figure, we understand that:

Side length BA and side length BD are equal.

This is represented as:

BA = BD

Because the side length AC is less than the side length CD, then it means that:

The measure of the angle ABC is less than the measure of the angle CBD

This is represented as:

∠ABC < ∠CBD

Where

ABC = x + 2

and

CBD = 37

Substitute ABC = x + 2 and CBD = 37 in the inequality expression ∠ABC < ∠CBD

So, we have:

x + 2 < 37

Subtract 2 from both sides of the inequality

x + 2 - 2 < 37 - 2

Evaluate the differences

x < 35

From the question, we have the following incomplete inequality

-2 < x < [ ]

Complete the inequality as follows:

-2 < x < 35

Hence, the complete inequality is -2 < x < 35