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Fiesta28 [93]
3 years ago
5

A golf ball is hit with an initial velocity of 100 feet per second. The height of the golf ball can be represented by the equati

on h=100t−16t^2, where t is the time in seconds since the ball was hit and h is the height of the ball in feet. How long will it take for the ball to hit the ground?
Mathematics
2 answers:
Sedaia [141]3 years ago
7 0

Answer:

6.30 seconds

Step-by-step explanation:

LenaWriter [7]3 years ago
5 0

Answer:

  • 6.25 seconds

Step-by-step explanation:

<u>Using the the equation </u>

  • h = 100t − 16t^2

<u>The ball hits the ground, when h = 0, solving below equation:</u>

  • 100t − 16t^2 = 0
  • 4t(25 - 4t) = 0
  • t = 0 seconds, this is the starting point when ball was hit
  • 25 - 4t = 0 ⇒ 4t = 25 ⇒ t= 25/4 = 6.25 seconds later the ball hits the ground
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A minute is 6 times as long as 10 seconds, so we expect Karl will ride 6 times as far.

\dfrac{120\,ft}{10\,s}=\dfrac{120\,ft}{10\,s}\cdot\dfrac{60\,s}{1\,min}=\dfrac{720\,ft}{1\,min}

Karl rides 720 ft in 1 minute.

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3 years ago
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If 2x2 -- 5x + 7 is
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18

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3 years ago
As used in line 49, "take the slightest interest in"
MrMuchimi

Correct option is D. It means have curiosity about.

<h3>The line in passage is: line 49: </h3>

No one but a Swedish madman could take the slightest interest in it. Here I am.

In second paragraph, the narrator states that the North Pole “is an abstraction, a mathematical fiction" and that “no one but a Swedish mad man could take the slightest interest in it". In this context, the narrator is stating that people would not “take the slightest interest in,” or be curious about, the North Pole. So, option D best befits the context here. A, B, and C are incorrect because in this context, “take the slightest interest in" does not mean to accept responsibility, possess little regard, or pay no attention to something.

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2 years ago
Prove that 1-tan^2x/1+tan^2x=2cos^2x-1​
katen-ka-za [31]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan x = \frac{sinx}{cosx} , sin²x + cos²x = 1

Consider the left side

\frac{1-tan^2x}{1+tan^2x}

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= cos²x - 1 + cos²x

= 2cos²x - 1

= right side , thus proven

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4 years ago
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