The missing angle is 27° because a triangle equals 180° and 180-119=61 and 61-34= 27.
Answer:
0.405 or 40.5%
Step-by-step explanation:
Let event A=having a periodontal disease
event B=having a heart attack
we are given
P(A)=P(having a periodontal disease)=0.30
P(B)=P(having a heart attack)=0.15
P(A/B)=P(have a periodontal disease/have a heart attack)=0.81
P(B/A)=P(have a heart attack/have a periodontal disease)=?
P(A/B)=P(A∩B)/P(B)
P(A∩B)=P(B)*P(A/B)=0.15*0.81=0.1215
P(B/A)=P(A∩B)/P(A)=0.1215/0.3=0.405
There is 40.5% probability that if someone has periodontal disease will have a heart attack.
Answer:
r = 11
Step-by-step explanation:
C = 2πr
69.08 = 2(3.14)r
69.08 = 6.28r
r = 69.08/6.28
r = 11
Answer:
.
Step-by-step explanation:
Assume that the run of this rafter is level. Then the height of the ridge (the line with a question mark next to it in the diagram) should be perpendicular to the line marked with 
. The three labelled lines in this diagram will form a right triangle.
- The line marked as
will be the hypotenuse of this right triangle. - The line marked as
will be one of the triangle's legs. - The line representing the height of the ridge (the one with the question mark) will be the other leg of this right triangle.
Hence, the height of this ridge can be found with the Pythagorean Theorem. By the Pythagorean Theorem:
.
In this particular right triangle:
.
.
Therefore, the height of this ridge would be 
. (Note the unit.)
Shift all one to the left take all the vertices and move them left one
