Answer:
time period is 260.57 years
Step-by-step explanation:
given data
growth rate = 3.4 % = 0.034
population = 4118000
area P = 29000000000 square yard
to find out
time period that one person for every square yard of land need
solution
we will apply here population growth formula that is
total population P = initial population ×
..............1
here r is rate of growth and t is time period and
we consider here initial population is current population
so put value in equation 1 to get t
29000000000 = 4118000 ×
take ln both side
ln 7042.25 = ln
8.8596 = 0.034 t
t = 260.57
so time period is 260.57 years
Answer:
![\theta_1 \ n\ \theta_2 = 120, 240](https://tex.z-dn.net/?f=%5Ctheta_1%20%5C%20n%5C%20%5Ctheta_2%20%3D%20120%2C%20240)
Step-by-step explanation:
The question is incomplete, as the angles of rotation are not stated.
However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself
We have:
![Nonagon = 9\ sides](https://tex.z-dn.net/?f=Nonagon%20%3D%209%5C%20sides)
![Hexagon = 6\ sides](https://tex.z-dn.net/?f=Hexagon%20%3D%206%5C%20sides)
Divide 360 degrees by the number of sides in each angle, then find the multiples.
<u>Nonagon</u>
![\theta = \frac{360}{9} =40](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cfrac%7B360%7D%7B9%7D%20%3D40)
List the multiples of 40
![\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320](https://tex.z-dn.net/?f=%5Ctheta_1%20%3D%2040%2C%2080%2C%20120%2C%20160%2C%20200%2C%20240%2C%20280%2C%20320)
<u>Hexagon</u>
![\theta = \frac{360}{6} =60](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cfrac%7B360%7D%7B6%7D%20%3D60)
List the multiples of 60
![\theta_2 = 60, 120, 180, 240, 300](https://tex.z-dn.net/?f=%5Ctheta_2%20%3D%2060%2C%20120%2C%20180%2C%20240%2C%20300)
List out the common angles
![\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320](https://tex.z-dn.net/?f=%5Ctheta_1%20%3D%2040%2C%2080%2C%20120%2C%20160%2C%20200%2C%20240%2C%20280%2C%20320)
![\theta_2 = 60, 120, 180, 240, 300](https://tex.z-dn.net/?f=%5Ctheta_2%20%3D%2060%2C%20120%2C%20180%2C%20240%2C%20300)
![\theta_1 \ n\ \theta_2 = 120, 240](https://tex.z-dn.net/?f=%5Ctheta_1%20%5C%20n%5C%20%5Ctheta_2%20%3D%20120%2C%20240)
This means that, only a rotation of
will lift both shapes onto themselves, when applied to both shapes.
The other angles will only work on one of the shapes, but not both at the same time.
Answer:graph B
Step-by-step explanation:because if a line is parallel they have no solutions with a certain slope
If two lines intersect then they must have at least a solution