Answer:
75
Step-by-step explanation:
Let x represent the number of bullfrogs in the population.
We have been given that in a study of the population density of bullfrogs, 25 are captured and marked in the first sampling. Five days later, 30 frogs are captured, 10 of which have marks.
We will use proportion to solve our given problem as:
Therefore, the estimated number of bullfrogs in the population would be 75.
E) sqrt(30)
This is a nice problem. It was helpful to read the topic at the top.
Notice that the two right triangles are similar. Their sides are in proportion.
That is the side '3' is what 'x' is in the other triangle (you need to rotate it!)
Then 'x' is similar to '10'
3/x=x/10 ---> x^2=30, x=sqrt(30)
If you are patient, you can check that for sqrt(30) pythagoras theorem works for all the triangles.
Best
Then
Answer: 7964.97 in³
Step-by-step explanation:
A drum is a cylinder. Therefore, we will have to calculate the volume of a cylinder which will be:
Volume = πr²h
where π = 3.142
r = Diameter/ 2 = 26/2 = 13
h = 15
Volume = πr²h
= 3.142 × 13² × 15
= 3.142 × 169 × 15
= 7964.97 in³
