12. Venu and Tanuj are running along a circular track. They take 48 seconds and 56 seconds to
1 answer:
Response:
The first time they meet again at the starting point happens after 336 seconds.
Venu completes 7 laps, while Tanuj finishes 6 laps.
Detailed explanation:
Venu and Tanuj require 48 seconds and 56 seconds, respectively, to finish one lap.
To reconvene at the starting point, the time must be a multiple of both 56 and 48.
Thus, the earliest time they can meet again at the starting position is when they first clash.
This aforementioned first meeting time represents the smallest number divisible by both 56 and 48, which is 336 seconds or equivalently 5 minutes and 36 seconds.
Number of laps by Venu
Number of laps by Tanuj
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The diagram below illustrates the issue at hand.
Question 1:
The maximum area of the pool equals half the area of the circle.
To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.
Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).
Question b:
To find the pool's area, we take the circle's area and subtract the triangle's area.
The area of the circle is 11309.73 square feet.
For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.
The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.
Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.
Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.
Question 1:
The maximum area of the pool equals half the area of the circle.
To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.
Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).
Question b:
To find the pool's area, we take the circle's area and subtract the triangle's area.
The area of the circle is 11309.73 square feet.
For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.
The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.
Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.
Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.
Response:
0.0000
Unusual
To explain step-by-step:
A tobacco company asserts that the nicotine content in its cigarettes behaves as a random variable with a mean of 2.2 mg and a standard deviation of.3 mg.
This means the population parameters are
The likelihood that the sample average would equal or exceed 3.1
equals 0.0000
The function
represents a parabola positioned at the vertex (5, 3).
Attached here is the graph depicting this function.
represents a parabola positioned at the vertex (5, 3).
Attached here is the graph depicting this function.