An object is thrown upward at a speed of 121 feet per second by a machine from a height of 8 feet off the ground. The height h of the object after t seconds can be found using the equation h = -16t^2+121 t+8 When will the height be 17 feet?

When will the object reach the ground?

Answers

Answer 1

Answer: 17=-16t^2+121t+8
16t^2-121t+9=0
this is a quadratic.
it solves to 7.487seconds and 0.075 seconds.

0=-16t^2+121t+8
16t^2-121t-8=0
this solves to 7.628 and -0.066. obviously the time cant be negative so the only real answer is 7.628 seconds

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Answers

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Triangle inequality theorem

Answers

The triangle inequality theorem is an important part of geometry in order to mention the dimension of the sides of a triangle clearly.

What is triangle inequality theorem?

The triangle inequality theorem states that, the sum of the length of two sides must be greater than the length of the third side of that triangle.

Here, three sides of this triangle ABC are AB, BC, and CA.

Therefore, as per the triangle inequality theorem:

(Length of AB + length of BC) must be greater than the length of CA.

Therefore, (AB + BC) > CA.

(Length of BC + length of CA) must be greater than the length of AB.

Therefore, (BC + CA) > AB.

(Length of AB + length of CA) must be greater than the length of BC.

Therefore, (AB + CA) > BC

For an example, if we are running in a triangular shaped track, then it can be easily understandable.

Now, if we start running from the point A, then to reach the point B the shortest path will be the straight line AB.

Instead of that, if we go to the C point at first and then reach the point B, then we will travel more distance.

Similarly, starting from the other points, we will get the same results.

Learn more about triangular inequality theorem here: brainly.com/question/18345497

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Triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side because if not you don't have a triangle.

How far is the star away from the earth in AU?

Answers

Final answer:

The average distance between a star and Earth is typically measured in astronomical units (AU), which is the average distance between Earth and the Sun. To calculate the distance in AU, divide the star's distance in kilometers or miles by the average distance between Earth and the Sun.

Explanation:

The average distance from the Earth to a star is typically measured in astronomical units (AU). An astronomical unit is defined as the average distance between the Earth and the Sun, which is about 149.6 million kilometers or 93 million miles.

To calculate the distance to a star in AU, you need to determine the star's distance in kilometers or miles and then convert it to AU. For example, if a star is 900 million kilometers away, you divide that distance by the average distance between the Earth and the Sun to get the distance in AU. In this case, the star would be approximately 6 AU away from Earth.

It's important to note that the distances between stars and Earth are incredibly vast, so even a distance of a few AU is still very far.