x + 12 + 19x + 8 = 180
x + 19x = 20x (combining like terms)
12 + 8 = 20 (combining like terms)
20x + 20 = 180
180 - 20 (subtracting 20 to both sides)
20x = 160
160 / 20 = 8 (dividing by 8 on both sides)
<em>x = 8</em>
CDA = x + 12
CDA = 8 + 12
<u>CDA = 20</u>
In the given question, there are several important information's that needs to be noticed. based on these information's the correct answer to the question can be easily deduced. It is already known that the contestants rest for the same amount of time every hour. In 6 hours they rest for 27 minutes. The 6 hours has to be converted to minutes first.
Then 6 hours = (6 * 60) minutes
= 360 minutes
So we have to first determine the amount of rest each contestants take in 1 hour.
Then
In 360 minutes the couple rests for a total time = 27 minutes
In 60 minutes the couple will rest for = (27/360) * 60
= 4.5 minutes
So the couple rests for 4.5 minutes in 1 hour
Then
In 8 hours the couple will rest for = (8 * 4.5) minutes
= 36 minutes.
The couple will rest for 36 minutes in 8 hours.
Answer:

Step-by-step explanation:
Given

--- diameter at the top
--- diameter at the base

Required
The volume of the cup in gallons
We have:

Radius is calculated as:

So:


So, we have:





The volume is

We have:

So:

Answer:cos theta = -(1)/2; tan theta = sqrt(3)
cos theta = -(1)/2; tan theta = -1
cos theta = (sqrt(3))/4; tan theta = -2
cos theta = 1/2; tan theta = sqrt(3)
cos theta = 4/3
Step-by-step explanation:
The answer should be diameter.