Answer:
Step-by-step explanation:
Circumference = 6π
θ = 8/3 = 2.7 radians
For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))
Answer:
The average speed is:

Step-by-step explanation:
The average speed equation is given by:

Were:
- Δx is the displacement (225 miles)
- Δt is the change in time (3 hours)
Then we have:


I hope it helps you!
Answer:
is parallel to 
Step-by-step explanation:
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The complete exercise is: "Is
parallel, perpendicular or neither to 
?
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The equation of the line in Slope-Intercept form is:

Where "m" is the slope of the line and "b" is the y-intercept.
First, in order to solve this exercise it is important to remember that, by definition:
1. The slopes of parallel lines are equal.
2. The slopes of perpendicular lines are negative reciprocal.
In this case, you have the following line given in the exercise:
You can identify that "m" and "b" are:

And the other line provided in the exercise is this one:

So, you can identify that:

As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.
The answer for the question is 20.25