Answer:
Expression: 
Beetles after 16 years: 7984 beetles
Step-by-step explanation:
Since the population increases 30% annually every year on the population size of that year, then we need to use a compound interest formula which would be the following
A = P (1 + r/n) (nt)
A = the future amount
P = the initial amount
r = the annual increase rate (decimal)
n = the number of times that interest/increase is compounded per unit t
t = the number of years
Using the values in the question the expression for this scenario would be the following
120(1 + (0.30 / 1))^(1*16)
7984.99
Angle A ~ Angle FEC
Angle B ~ Angle EFC
Angle BDA ~ Angle FCE
AB ~ EF
BD ~ FC
AD ~ EC
Answer : option A
To find the range of scores that represents the middle 50 % of the student who took the test , we find inter quartile
Inter quartile range is the middle 50% of the given range of scores.
The difference between the upper quartile and lower quartile is the inter quartile that is middle 50%
From the diagram , we can see that
Upper quartile = 89
lower quartile = 65
So range is 65% to 89%
Answer:
1. cos(F) = 2. 5/13
tan (F) = 3. 12/5
sin (F) = 1. 12/13
2. Sin (R) = 1. 60/68 = 30/34 = 15/17
cos (R) = 2. 32/68 = 16/34 = 8/17
tan (R) = 3. 60/32 = 30/16 = 15/8
Step-by-step explanation:
1 picture:
sin = Opp/Hyp
cos = adj/hyp
tan = opp/adj
cos(F) = 2. 5/13
tan (F) = 3. 12/5
sin (F) = 1. 12/13
2 Picture:
Sin (R) = 1. 60/68 = 30/34 = 15/17
cos (R) = 2. 32/68 = 16/34 = 8/17
tan (R) = 3. 60/32 = 30/16 = 15/8
