Answer:
r=9
Step-by-step explanation:
45/360=1/8
1/8*2=2/8
2/8=1/4
1/4*pi*r=(9pi)/4
Divide both sides by 1/4 (the fours cancel each other out)
Pi*r=9*pi
Pi cancels each other out
R=9
Hope this helps
Answer:
Katie is not cheating. From the question, it sounds like Katie's spinner is 1-12. James has two dice so he has two sets of each number 1-6. This means that Katie can roll two numbers greater than six but James can only roll up to six. Using probability, I think there is a 50% chance that Katie's number will be bigger than James every time she spins. A fairer way would be for them both to play with the same dice or spinner.
Step-by-step explanation:
The maximum area of a rectangle when given perimeter is simply perimeter/sides.
To get the maximum area, simply divide 160 (perimeter) by 4 (sides in a rectangle) and then square the result:
160/4 = 40
40 x 40 = 1600
The maximum area, when the sides are all of the same length, is <u><em>1600 square yards.
</em></u><em></em>Hope this helps!
<em>~ArchimedesEleven</em><u><em>
</em></u>
Answer:

Step-by-step explanation:
The given system of linear equations is:

We have to solve the equations for the values of
.
Let us use elimination method in which we eliminate one of the variables from the two variables.
For this, let us multiply the first equation by
and second equation by 
Now, the equations become:

Now, let us add (1) and (2):

Using the equation:

Putting value of
:

So, the answer to the system of linear equations is:
