Since the total circumference of the circle is 60 pi cm which passes around 360˚, the length of an arc of 140˚ will be equal to 140/360 = 7/18 times the total length:
l = (7/18) * 60 pi cm = 23.3 pi cm
So the problem ask to find or solve the problem using distributive property, so to calculate if using distributive property is just the same calculation if you are multiplying two number using a paper so the answer is 5(8)+5(90)+5(100), 40+ 450+500 = 990. I hope you understand my answer
The linear speed of a person on this Ferris wheel is about 628.2 ft/min.
<h3>What is Linear Speed ?</h3>
As a body travels a circular path, it has both a linear speed and an angular speed. The rate it travels on that path is the linear speed, and the rate it turns around the center of that path is the angular speed. The linear speed (v) and angular speed (ω) are related by the radius (r) or v = rω .
Given that ;
Radius = r = 50 ft
Frequency = f = 2 rev/min
The angular speed is the product of the angular displacement for one complete turn, namely 2π radians per revolution, and the frequency (f). That is, the angular speed is equal to ω = 2πf. Substituting this into the formula for linear speed (v), we get:
v = r (2πf)
= (50 ft) ( 2π / rev) ( 2 rev/min)
= 200π ft/min
≈ 628.2 ft/min
The linear speed of a person on this Ferris wheel is about 628.2 ft/min.
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Answer:
Unit rate defined as the rates are expressed as a quantity 1 such as 4 miles per hour or 3 meter per seconds.
As per the given statement:
Kayaks rent for $35 per day.
⇒Unit rate per day = $35
We have to write an expression that can help you to find the cost in dollars of renting 3 kayaks for a day:
Cost in dollars for 3 kayaks for a day = $ 
The Distributive property says that:
we can write 35 as: 30 + 5
then;
Therefore, a expression that can help you to find the cost in dollars of renting 3 kayaks for a day is 
The function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have; an exponential function that passes through the point (2, 80).
f(x) = 4(x)⁵
Plug (2, 80) in the abovew function:
f(2) = 4(2)⁵ = 128 (false)
f(x) = 5(x)⁴
Plug (2, 80) in the abovew function:
f(2) = 5(2)⁴ = 80 (true)
f(x) = 4(5)ˣ
f(2) = 4(5)² = 100 (false)
f(x) = 5(4)ˣ
f(2) = 5(4)² = 80 (true)
Thus, the function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.
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