Answer:
1.68 ft
Step-by-step explanation:
Let x be the radius
Arc length = 3.14x
Width = 2x
Height = [12 - (2x) - 3.14x]/2
= 6 - 2.57x
Area = 3.14x²/2 + 2x(6 - 2.57x)
Area = 12x - 3.57x²
dA/dx = 12 - 7.14x = 0
x = 1.6806722689
Height = 6 - 2.57x
= 1.6806722689
The answer to this problem is A
Answer:

Step-by-step explanation:
In other words, carl's losing odds are 7 : 5, so his winning odds will be 5 : 7
So if they play (7+5=12) 12 times, carl will win 5 times.
To find probability that carl will beat his friend, we take the probability of Carl winning. Simple!
The probability is 5/ 12
Answer:
The solution in the attached figure
Step-by-step explanation:
Let
x-----> the number of oranges
y-----> the number of apples
we know that
The inequality that represent this situation is

The solution is the shaded area below the solid line between the positive whole numbers values of x and y
using a graphing tool
see the attached figure
Answer:
The answer is x = -6
Step-by-step explanation: