Answer:
Domain:
Step-by-step explanation:
Given
Required
Determine f(x) and its domain
To determine f(x), we replace 5x with x in f(5x)
So, we have:
Take LCM
To get the domain, we set the denominator as
bearing in mind that parallel lines have the same exact slope, then any parallel line to the one above will have the same slope as that one.
<span>Using radian meansure
theta = (arc length)/radius
---
arc length = radius*theta
----
Your Problem:
120 degrees = 120(pi/180) = (2/3)pi radians
----
circumference = 2pi*r
24 = 2pi*r
r = 12/pi
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arc length = (12/pi)(2/3)pi = 8 units
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Answer: 12 hours
Step-by-step explanation:
Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.
When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.
Let 't' be the time taken by Francisco to paint one room on his own.
Then , we have
Rate of work of Sam +Rate of work of Jenna + Rate of work of Francisco =Rate of work they all do together
i.e.
i.e.
i.e.
i.e.
i.e.
i.e.
i.e. t= 12
Hence, Francisco would take 12 hours to paint one room on his own.
Answer:
Step-by-step explanation:
(vertical angles)
(Interior angles on the same side of transversal)