brainly Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to creat
1 answer:
Answer:
Step-by-step explanation:
In each town, he can produce 1.13 times the number of villagers compared to the previous one.
This means that the population of each successive village will arise from multiplying the earlier village's population by 1.13.
This creates a sequence where the next value is derived by multiplying the previous one by a set constant, known as a Geometric Sequence, with the constant termed as the Common ratio.
The nth term in a Geometric Progression for any given number of terms can be determined using the formula:
Where a= First Term
r= common ratio
n= number of terms
Initially, the game assigned Chase 4 villagers.
Consequently, his first term a=4
The common ratio, r= 1.13
To find out the population of villagers in any specific town, utilize the formula:
For the 17th town, or n=17
The total number of villagers he can create will be calculated by inserting n=17 into the previous formula.
Given that the number of villagers cannot be in decimals, the amount of villagers that can be established in the 17th village is 28.
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Answer:
The rotation angle measures 2.11 °
Step-by-step explanation:
Stated as follows:
The radius of the circular path = r = 18 feet
The distance rolled by the wheel = l = 38 feet
Let us denote the angle of rotation as Ф
Now, according to the problem:
∵ the length of an arc at the center corresponds to an angle Ф
Thus,
distance rolled by the wheel = π × radius ×
As 180° represents π radians
And π approximates to 3.14
Thus, distance rolled by the wheel = 180 °× radius ×
That is l = r × Ф
So, Ф =
Consequently, Ф =
Therefore, Ф = 2.11 °
Thus, the rotation angle is Ф = 2.11 °
Hence, the rotation angle is 2.11 ° Answer