Answer:
PS = 31.5 ft
Step-by-step explanation:
∠PTS = 180 - 16 = 154°
164°(π/180) = 41π/45 radians
PS = rθ = 11(41π/45) = 31.48573...
Answer:

Step-by-step explanation:
we know that
The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism
step 1
Find the lateral face of the triangular prism
The lateral area is equal to the area of its four lateral triangular faces

step 2
Find the lateral area of the rectangular prism
The lateral area is equal to the perimeter of the base multiplied by the height

step 3
Find the area of the base of the rectangular prism

step 4
Find the surface area

Answer: 0.421
Step-by-step explanation:
Heavy smoker = 20%
Light smoker = 30%
Non smokers = 50%
We can assume that the probability that a non-smoker is going to die in the next 5 years be y.
Since light smokers were twice as likely as nonsmokers to die during the five-year study, the probability will be:
= 2 × y = 2y
Probability for the Heavy smokers will be:= 2 × 2y = 4y
The expected number of people that will die for each in the next 5 years will be:
Non smoker:
= 50% × y
= 0.5 × y
= 0.5y
Light smoker:
= 30% × 2y
= 0.3 × 2y.
= 0.6y
Heavy smoker:
= 20% × 4y.
= 0.2 × 4y
= 0.8y
Total = 0.5y + 0.6y + 0.8y = 1.9y
The probability that the participant was a heavy smoker will be:
= 0.8y/1.9y
= 0.421
The square root would be 3.4 if rounded to the tenths place
100×16.60=1,660
Sam cost
1,660+1,660×0.06=1,759.6