Me with these i don’t understand!

First exercise:

Let's call the initial weight of the dog . We know that after the first year the difference is -1.56 pound, so the weight after one year is

After another year, the new weight is But we know the way to express in terms of , so we have

Second exercise:

You need an equation to be satisfied when . Actually, this is already an equation, so we can simply rearrange it to get , which is an equation with solution 26.

Third exercise:

Rearrange the left hand side to get

Since 8 appears in both sides, we can simplify it:

Add 0.3 to both sides:

step-by-step explanation:

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.