Answer:
6797
Step-by-step explanation:
1/2
There are 6 numbers and the chances of rolling a 1, 2 , or 3 is 3/6.
3/6 simplifies to 1/2
ven numbers always end with a digit of 0, 2, 4, 6 or 8.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 are even numbers.
Odd numbers always end with a digit of 1, 3, 5, 7, or 9.
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 are odd numbers.
base = 8 cm
height = 12 cm
We will need the formula for area of a trianlge, which is
A = (1/2)bh where b is the base, and h is the height
We are given two formulas...
"The height of a triangle is 8 centimeters greater than half its base" becomes
h = (1/2)b + 8
"The area of the triangle is 48 square centimeters" becomes
48 = (1/2)bh
Plug the first formula into the second to solve for h
48 = (1/2)b[(1/2) + 8] (h becomes (1/2)b + 8)
Now solve for b
48 = (1/4)b² + 4b
**This is a quadratic euquation. Solve using factoring...
(1/4)b² + 4b - 48 = 0 (subtract 48 from both sides)
b² + 16b - 192 = 0 (multiply by 4 so b² is by itself, it's easier to factor this way)
Now factor...
(b + 24)(b - 8) = 0 (you need two numbers that add to 16 and multiply to -192)
Set each binomial equal to zero and solve for b
b + 24 = 0
b = -24
**this anwser is not valid because b is a length, and you can't have negative length
b - 8 = 0
b = 8
Since the other solution is invalid, the base is b
If the base is b, then the height is...
h = (1/2)(8) + 8
h = 4 + 8
h = 12
