Answer:
Step-by-step explanation:
For species A,

For species B,

When their populations are equal,

The diagram below shows the population of Species A overtaking that of Species B in about 30.5 yr.
We have been given that Layana’s house is located at
on a map. The store where she works is located at
.
We are asked to find the distance from Layana’s home to the store
We will use distance formula to solve our given problem.
Let us convert our given coordinates in improper fractions.



Now we will use distance formula to solve our given problem.

Upon substituting coordinates of our given point in above formula, we will get:






Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.
We have been given that a right △ABC is inscribed in circle k(O, r).
m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.
First of all, we will draw a diagram that represent the given scenario.
We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.
We will use sine to find side AB.






Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is
.
Therefore, the radius of given circle would be 18 cm.