5(p-4)=2

this problem is also hard for me: '(

p = 36/5, or p = 7  1/5

Step-by-step explanation:

Next time, please include the instructions.

I think the goal is to solve this equation for p.

Let me write this equation as

(5/8)(p - 4) = 2

We can get rid of the fractional coefficient (5/8) by multiplying both sides of this equation by (8/5).  This gives us:

p - 4 = (8/5)(2).

Let's eliminate fractions again.  To do this, multiply all 3 terms by 5.  We'll then have:

5p - 20 = 16

Solve for p.  To do this, add 20 to both sides:

5p = 36

so that     p = 36/5, or p = 7  1/5

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 is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.