Hello from MrBillDoesMath!
Answer:
Diameter = 2r = 2 (sqrt(24/Pi))
Circumference = 4 sqrt(6Pi)
Discussion:
Given:
Area of circle = Pi r^2
24 = Pi r^2 => (as Pi r^2 is the formula for area of a circle)
24/Pi = r^2 => ( now take the square root of both sides)
r= sqrt(24/Pi)
Diameter = 2r = 2 (sqrt(24/Pi))
Circumference = 2 PI r = 2Pi (sqrt(24/Pi))
= 2Pi (sqrt(24)/sqrt(Pi) )
= 2Pi (2sqrt(6)/sqrt(Pi) )
= 4 (pi/ sqrt(Pi) ) sqrt(6)
= 4 sqrt(Pi) sqrt(6)
= 4 sqrt(6Pi)
Thank you,
MrB
The answer is A 27 because 7/9 = 21/27
Answer:
21 wins, table is attached.
Step-by-step explanation:
The ratio of 7 wins to 2 losses is 7:2. A ratio is just saying that every time one value is increased by 7, the other is increased by 2.
So we can fill out the table, in every iteration wins increases by 7 and losses increases by 2.
When we fill this out, we find that when losses is 6, wins is 21, so when you have 2 losses you have 21 wins.
Hope this helped!
14. (2x - 1)(x + 7) = 0Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0. We can set each term equal to 0 to find the solutions:
2x - 1 = 0
2x = 1
x = 1/2
x + 7 = 0
x = -7
15. 
To solve this equation, you first need to set it equal to 0:

Next, it can be factored:

Finally, we can solve just like we did above:
x + 5 = 0
x = -5
x - 2 = 0
x = 2
16. 
First, you can simplify by dividing each side by 4:

Now, set the equation equal to 0:

Next, factor:

Finally, find the solutions:
x + 5 = 0
x = -5
x - 5 = 0
x = 5
Answer:

Step-by-step explanation:


Hope this helps!