Answer with Step-by-step explanation:
We are given that
Radius of circle=r
Total distance traveled =s
Time=t
Central angle=
rad
We know that
Linear speed,v=
Using the formula
Therefore, v=
Angular speed,
By using the formula
rad/s
Answer:
Step-by-step explanation: answer is B
1.3/8 because there is a total of 8 marbles but only 3 of them are green.
2. A 52 deck of cards has 4 or each card not including the Jokers so it would be 4/52.
3.30 red 90 total 30/20
4. all you have to do is 4*3=12
5. 4 of each card 2 red 2 black 2 red jacks 52 cards 2/52.
6.&7. coins aren't my cup of tea all i can say is maybe google it :P
8.2 pairs of blue socks 10 total pairs 2/10 or 1/5
sorry about 6 and 7 but i still hope this helped you
Answer: 56 inches
Step-by-step explanation:
a. 60+58+64+72=254 (Add the average of his family without including him)
a. 62x5=310 (The average times 5, cause there are 5 of them will get you the total number of inches)
b. 310-254=56 (Subtract the total number of the 5 of them with the 4 of them to find Bill's height)
you can check your answer by adding all their heights.
Intersection of the first two lines:

Multiply the first equation by 4 and the second by 5:

Subtract the two equations:

Plug this value for y in one of the equation, for example the first:

So, the first point of intersection is 
We can find the intersection of the other two lines in the same way: we start with

Use the fact that x and y are the same to rewrite the second equation as

And since x and y are the same, the second point is 
So, we're looking for a line passing through
and
. We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be 
In the attached figure, line
is light green, line
is dark green, and their intersection is point A.
Simiarly, line
is red, line
is orange, and their intersection is B.
As you can see, the line connecting A and B is the red line itself.