Step-by-step explanation:
Given diameter (d) = 28 inches
π = 3.14
Radius (r) = 28/2= 14 inches
Now
Area of the circle
= πr²
= 3.14 * 14²
= 615.44 inch ²
The ratio of perimeters is the same as the ratio of the corresponding sides: 8:9.
_____
Any corresponding length measures of the similar figures will have the same ratio.
(3x - 8)(3x + 8) is 3.) 9x^2 - 64
(x + 6)^2 is 4.) x^2 + 12x + 36
(3x - 2)(x + 5) is 1.) 3x^2 + 13x - 10
5x(x - 1)(x + 7) is 2.) 5x^3 + 30x^2 - 35x
(x - 8)(x + 7) is 5.) x^2 - 10x + 16
I hope this helps!
You can roll a total of 6 by rolling (1, 5), (2, 4), (3, 3), (4, 2), or (5, 1). There are 36 total possible rolls that can be obtained, so you roll a total of 6 with probability 5/36.
You can roll a total of 11 by rolling (5, 6) or (6, 5), hence with probability 2/36 = 1/18.
Any of the other remaining 29 outcomes occurs with probability 29/36.
The expected value of your winnings is
$18*5/36 + $72*1/18 - $9*29/36 = -$0.75
so the answer is E.
