Answer:
84.85 feet or 60
feet.
Step-by-step explanation:
Given that:
Distance of paths between each pair of consecutive bases is 60 ft.
To find:
Distance that the ball needs to travel if it is thrown directly from home plate to second base?
Solution:
Actually the given problem can be mapped to a right angled triangle in which base and height are given to be equal to 60 ft (because each pair of consecutive bases are 60 ft apart), Plus, they are at right angles to each other.
So, kindly refer to the image attached.
AB and BC are the distance of paths between consecutive bases.
And we have to find AC.
We can use Pythagorean theorem to find out the Hypotenuse of the triangle.
According to Pythagorean theorem:
H(-2) = 2(-2)^2 - 3(-2)
= 2(4) - (-6)
= 8 + 6
= 14
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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Answer:
Domain and Range will be like :
D : X ∈ R
R : Y ∈ [0,∞)
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment
