Answer:
A. Reflection
B. Rotation and Translation
C. Translation
Step-by-step explanation:
We are given the figures transformed to different figures.
According to the options,
A. We see that,
Triangle ABC is reflected about the line y=x to obtain the triangle A'B'C'.
B. In the second figure, we get,
Triangle RST is rotated clock-wise around the point T and then translated 2 units to the right to obtain R'S'T'.
C. We have,
Triangle EFD is translated 3 units downwards followed by translation of 2 units to the right to get E'F'D'.
Answer: the population after 10 years is 12036
Step-by-step explanation:
We would apply the formula for exponential growth which is expressed as
A = P(1 - r)^ t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 14000
r = 1.5% = 1.5/100 = 0.015
t = 10 years
Therefore, the exponential decay equation to find the population of the town after 10 years is
A = 14000(1 - 0.015)^10
A = 14000(0.985)^10
A = 12036
Step-by-step explanation:
Distance = rate × time
If b is the speed of the boat in still water, and c is the speed of the current, then:
60 = (b + c) × 4
35 = (b − c) × 3.5
Simplifying:
15 = b + c
10 = b − c
Add the equations together:
25 = 2b
b = 12.5
Plug into either equation to find c:
c = 2.5
The speed of the boat is 12.5 km/h, and the speed of the current is 2.5 km/h.
The answer is c i believe
