Answer:
The first term is 28.
Step-by-step explanation:
Given: 8th term of Geometric sequence , 
and 3rd term of Geometric Sequence, 
We have to find First term of given geometric Sequence.
Let a be the first term of geometric sequence.
We know that,
So,
So,
Therefore, The first term is 28.
The value of d is 27/2 when v =30
<h3>What is equation?</h3>
Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal
Suppose that d is directly proportional to the square of v.
So the equation is, d ∝ v² equals to d = kv², where<em> k</em> is a constant.
So in order to find the value of <em>k</em>,
d = <em>k</em> v²
d = 6, v = 20,
Substitue the value of d and v into the equation :
6 = <em>k</em>(20)²
k = 6/400
k = 3/200
Substitue the value of <em>k</em> and v =30 into the equation,
d = 3/200(30)²
d = 2700/200
d = 27/2
Hence, the value of d is 27/2 when v =30
Learn more about equation
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Pythagoras theorem : a^2 + b^2 = c^2
20^2 + b^2 = 29^2
400 + b^2 = 841
841 - 400 = 441
Square root 441 = 21
PERIMETER :
21+29+20 = 70
The answer is 70
The data collected from the actual game experiment is:
Win: 8 times
Lose: 40 times
Total trials: 48 times
Therefore, the probability that you will win when you play this game is:
WIN = 8/48
= 1/6 or 0.1667 = 16.67% chance of winning
LOSE = 40/48
= 5/6 or 0.8333 = 83.33% chance of losing.
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