A science class helped to estimate the population of various species in their local woods. Initially they tagged various numbers of 3 different species. The class then returned several weeks later to count each of the species that they had originally tagged. For each species, they kept track of the total
counted, and the number with tags. Here are their results:
Species
Number Initially
Tagged
Total Number
Counted
Number Counted with
Tags
Quail
43
51
29
Owl
37
18
7
Lynx
9
4
Based on the data samples collected, which statement shows a reasonable estimate?
There are about 87 owls in the woods.
There are more owls than quails in the woods.
There are approximately twice as many owls as lynxes.
The species that was tagged the most has the highest population

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

the answer for this question is 38

26

step-by-step explanation:

the rocket cannot penetrate the ground, in a contextual sense, therefore the roots of this equation should be the domain of this function. i'll let you find the roots of this quadratic equation (hint: use the quadratic formula:  

1- c

2-a

step-by-step explanation:

mark brainliest!