Answer:
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Step-by-step explanation:
The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.
Depression triangle
The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,
using tangential ratio
tan 35° = opposite/adjacent
tan 35° = a/8
cross multiply
a = 8 tan 35°
a = 8 × 0.70020753821
a = 5.60166030568
a = 5.602 ft
Elevation triangle
The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.
tan 20° = opposite/adjacent
tan 20° = b/8
cross multiply
b = 8 tan 20°
b = 8 × 0.36397023426
b = 2.91176187413
b = 2.912 ft
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Answer: B) -3
Step-by-step explanation:
X<-11/3 if u divide -11/3 = is about -3.6666
Answer:
Step-by-step explanation:
<u>For every time you have a probability of getting 1 is:</u>
<u>For all 6, the probability of outcome of 1 is:</u>
- P(1x6) = (1/10)⁶ = 0.000001
Answer:
The number of subscribers in 2008 is 110,845,988
Step-by-step explanation:
The number of cell phone subscribers in Arlington, in t years after 1985, can be modeled by the following equation.

And which N(0) is the number of subscribers in 1985 and r is the rate it increases per year, as a decimal.
In 1985, there were 285 cell phone subscribers in Arlington.
This means that 
The number of subscribers increased by 75% per year since 1985.
This means that 
So

Find the number of subscribers in 2008.
2008 is 2008-1985 = 23 years after 1985. So we have to find N(23).

The number of subscribers in 2008 is 110,845,988