Answer: 115.6
Step-by-step explanation:
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2 answers:
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The value of a₃₁ of the arithmetic sequence exists 77.4.
<h3>How to find the value of a₃₁ of the arithmetic sequence?</h3>Given: a₅ = 12.4 and a₉ = : 22.4
For the arithmetic sequence a₁, a₂, a₃, ..., the n-th term exists
where d = common difference
a₅ = 12.4,
a₁ + 4d = 12.4 .........(1)
Because a₉ = 22.4,
a₁ + 8d = 22.4 .........(2)
Subtract (1) from (2), we get
a₁ + 8d - (a₁ + 4d) = 22.4 - 12.4
4d = 10
Dividing throughout by 4, we get
d = 2.5
From (1), we get
a₁ = 12.4 - 4 2.5 = 2.4
a₃₁ = 2.4 + 30 2.5 = 77.4
Therefore, the correct answer is a₃₁ = 77.4
To learn more about the arithmetic sequence refer to; brainly.com/question/6561461
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Complete question
A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.
What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)
Answer:
Step-by-step explanation:
From the question we are told that
Slant height
Change in Vertical height
Horizontal length
Generally in finding the distance form the top to the bottom of the wall it is mathematically given by
Generally solving for the differential equation is mathematically represented as