Draw a diagram of eli's walking pattern

Mathematics

1 answer:

mestny [16]3 years ago

8 0

A. The diagram of the path taken by Eli would look something like this
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v----------------------------->
---------------<

He travelled down 12 feet towards the door, out of the door towards the yard in 32 feet, and back towards the house in 14 ft.

b. He walked a total of 12 + 32 + 14 = 58 ft

c.
32 - 14 = 18 ft
He is 18 ft from the house (door)

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An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the

DedPeter [7]

The inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground is:

$d = -16t^2 + 1000$

Solution:

The object falls, its distance, d, above the ground after t seconds, is given by the formula:

$d = -16t^2 + 1000$

To find the time interval in which the object is at a height greater than 300 ft

Frame a inequality,

$-16t^2 + 1000 > 300$

Solve the inequality

Subtract 1000 from both sides

$-16t^2 + 1000 - 1000 > 300 - 1000\\\\-16t^2 > -700$

$16t^2 < 700\\\\Divide\ both\ sides\ by\ 16\\\\t^2 < \frac{700}{16}\\\\Take\ square\ root\ on\ both\ sides\\\\t < \sqrt{\frac{700}{16}}\\\\t < \pm 6.61$