Answer:
30 60 90 triangle
the hypotenuse is twice the length of the shorter leg length.
Answer:

Step-by-step explanation:
The vertex form for a quadratic equation has the following form:

Where the vertice of the equation is the point (h, k)
To transform the equation
in its vertex forms we must find its vertex.
Be a quadratic equation of the form:

Where a, b and c are real numbers, then the vertex of the equation will be:

For the given equation:

Therefore the vertice is:

Now we substitute x = 6 into the equation and find the value of k.

Therefore the vertice is: (6, -16)
And the equation is:

1.95 + 1.09 = 3.04 so you will spend $3.04 then 5 - 3.04 = $1.96
Answer:
449/198 or 2 53/198
Step-by-step explanation:
2. 2676767 = x
10x= 22. 67676767
1000x= 2267. 676767
1000x-10x= 2267.676767- 22.67676767
- 990x= 2245
- x= 2245/990
- x= 449*5/5*198
- x= 449/198
- x= 2 53/198
Answer:
37.27% probability that he or she will have a heart attack.
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Periodontal disease
Event B: Heart attack
Researchers discovered that 82% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.
This means that 
Only 33% of healthy people have this disease.
This means that 
Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.
This means that 
If someone has periodontal disease, what is the probability that he or she will have a heart attack

37.27% probability that he or she will have a heart attack.