Answer:
r=√(A/π)
r=2.8
Step-by-step explanation:
We want to get (r) alone on one side
A=πr^2
divide each side by π
A/π=r^2
square root each side
√(A/π)=r
r=√(A/π) is the answer to your first question.
now we are given A
r=√((25)/3.14)
put the left side into a calculator
r=2.8216632
round to nearest tenth of a centimeter
r=2.8
A: is 14,514.15 and B: is 30 degrees because track C by itself would be a line which would measure 180 degrees all you do add the 150 degrees from track A because they're symmetrical after that subtract 150 degrees from 180 degrees and you have 30 degrees
Answer:
230/7
Step-by-step explanation:
32 6/7=230/7
Answer:
We have the system of equations:
y=1/3x+5
y=2/3x+5
To solve it graphically, we need to graph both lines and see in which point the lines intersect.
You can see the graph below, and you can see that the lines intersect in the point (0, 5)
Now, we can also solve this analytically.
We can use the fact that for the solution, we need y = y.
Then we can write:
(1/3)*x + 5 = (2/3)*x + 5
First, we can subtract 5 in both equations to get:
(1/3)*x = (2/3)*x
This only has a solution when x = 0.
Replacing x = 0 in one of the equations, we get:
y = (1/3)*0 + 5 = 5
Then the solution is x = 0, and y = 5, as we already could see in the graph.