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1 answer:
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Answer:
Step-by-step explanation:
Data provided:
ln(x) + 2 ln(y) − 3 ln(z)
Now,
From the properties of log function,
ln(A) + ln(B) = ln(AB)
n × ln(x) = ln(xⁿ)
and,
ln(A) - ln(B) =
applying the properties in the given equation
we get
⇒ ln(x) + 2 ln(y) − 3 ln(z)
or
⇒ ln(x) + ln(y²) - ln(z³) (using n × ln(x) = ln(xⁿ))
or
⇒ ln(xy²) - ln(z³) (using ln(A) + ln(B) = ln(AB) )
or
⇒ (using ln(A) - ln(B) =
)
Answer:
The true statements are;
The car makes one complete revolution in 12 s
The radius of the Ferris wheel is 25 yd
Step-by-step explanation:
The values of the table of the given Ferris wheel are presented here as follows;
From the table, we have;
The time it takes the Ferris wheel to complete a motion round from a height of 30 yards and back to 30 yards which is one revolution = 12 s
∴ The time it takes the car to complete one revolution = 12 s
The maximum height of the Ferris wheel = 55 yards
The lowest height of the Ferris wheel = 5 yards
The time at which the Ferris wheel is at the lowest height = 9 s, and 21 s
If the car is loaded at 0 s, then people are loaded above the lowest height of the Ferris wheel
The diameter of the Ferris wheel = The maximum height of the Ferris wheel - The minimum height of the Ferris wheel
∴ The diameter of the Ferris wheel = 55 yards - 5 yards = 50 yards
The radius of the Ferris wheel, R = 1/2 × The diameter of the Ferris wheel
∴ The radius of the Ferris wheel, R = 1/2 × 50 yards = 25 yards
Therefore, the true statements are;
The car makes one complete revolution in 12 s
The radius of the Ferris wheel is 25 yd.