If two polygons are similar, then the ratio of a side-length of one of them
to the length of the corresponding side of the other one is the same number
for every pair of sides. All you need to do is find one pair of corresponding
sides, then find the ratio of their lengths, and there's your scale factor.
Method 1:
Convert the mixed number to the improper fraction:
Make the product:
<em>canceled 2</em>
Method 2:
<em>use the distributive property a(b + c) = ab + ac</em>
Answer: The answer without estimation is 1,519.76 but with estimation it’s 1,520 m.
Step-by-step explanation:
The formula for this situation is A = pi(or in this case 3.14) times the radius squared. If you know the formula then the rest is just to plug in and estimate if you have too.
25. 6 cents for each ounce
This exponential growth/decay (in this case decay because r<1) of the form:
f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.
Since the population decreases by 4.5% each year the common ratio is:
r=(100-4.5)/100=0.955 so we can say
P(t)=8500(0.955^t)
....
7000=8500(0.955^t)
14/17=(955/1000)^t taking the natural log of both sides
ln(14/17)=t ln(955/1000)
t=ln(14/17)/ln(955/1000)
t≈4.22 years (to nearest hundredth of a year)
Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.
