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cluponka
1 month ago
5

ON wednesday Eddy goes to a velodrome to train. He cycles the first lap of the track in 25 seconds. Each lap Eddy cycles takes h

im 1.6 seconds longer thatn the previous lap.
Required:
a. Find the time in seconds, Eddy takes to cycle his tenth lap 2
b. Eddy cycles his last lap in 55.4 seconds. Find how many laps he has cycled on wednesday.
c. Find the total time in minutes, cycled by Eddy on Sunday.
Mathematics
1 answer:
Inessa [12.5K]1 month ago
5 0

Response:

Detailed explanation:

The timing data for each lap will form an arithmetic progression (AP) with a first term of 25 s and a common difference of 1.6 s.

a )

first term a = 25

common difference d = 1.6.

The 10th term of the sequence can be found using the formula

a₁₀ = 25 + (10-1) x 1.6

= 25 + 1.6 x 9

= 39.4 s

b )

Let n be the final lap

a(n) = a + (n-1) x d

55.4 = 25 + (n-1) x 1.6

n - 1 = 19

n = 20.

c )

The total for all terms in the AP

=(first term + last term) x number of terms / 2

= (25 + 55.4) x 20 / 2

= 804 s.

= 804 / 60 min

= 13.4 min.

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What values of b satisfy 3(2b + 3)2 = 36?
Inessa [12570]
To determine the values of b that fulfill 3(2b+3)^2 = 36

we start with
3(2b+3)^2 = 36
Divide both sides by 3
(2b+3)^2 = 12
Next, take the square root of both sides
(2b+3)} = (+ /-) \sqrt{12} \\ 2b=(+ /-) \sqrt{12}-3

b1=\frac{\sqrt{12}}{2} -\frac{3}{2}
b1=\sqrt{3} -\frac{3}{2}

b2=\frac{-\sqrt{12}}{2} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}
Thus,

the solutions for b are
b1=\sqrt{3} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}
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Utilizing commas makes it simpler to discern the figures.
6,289,002
The digit 6 occupies the millions spot. When rounding, if the subsequent digit is 5 or more, you will round up. Conversely, if the following digit is 4 or less, you will round down. Since the number following 6 is 2, rounding will lead to a decline. The closest million is therefore 6,000,000.
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