The area ratio is 1:16 meaning that the old area is 1 while the new area is 16. So this is another way of saying "the area is multiplied by 16"
Take the square root of each part of the ratio of 1:16 and we get 1:4
So this is the scale factor. It tells us how the linear components of the circles relate to one another. If the circumference of the smaller circle is 1,then the larger circle has a circumference of 4.
Therefore, the circumference has been multiplied by 4
We already know from the given data that 6 pencils can be bought for 59 cents. We have to determine the number of pencils that can be bought for $2.95.
So
Price of 6 pencils = 59 cents.
Price of 1 pencil = (59/6) cents
= 9.83 cents
Now total amount in hand for buying pencils = $2.95
= 295 cents
Then the number of pencils that can be bought for 295 cents = (295/9.83)
= 30.01
So the maximum number of pencils that can be bought for $2.95 is 30 pencils.
Area = length * width for a rectangle or square
Total area = (t+5)(t+3)
the rest of the areas can be seen here
http://prntscr.com/dc7jdg
The number of months that it will take the latest model's battery life to reach 1,008.9 minutes is; 8 months
<h3>How to solve geometric progression?</h3>
Each month, there is an increase by a factor of 0.06 of the previous months model.
From geometric sequence formula of aₙ = ar^(n - 1),
where;
a is first term
r is common ratio
aₙ is nth term
we have;
1,008.9 = 671 * 1.06^(n - 1)
1008.9/671 = 1.06^(n - 1)
In 1.504 = (n - 1) In 1.06
0.408 = (n - 1) * 0.058
n - 1 = 0.408/0.058
n = 7.03 + 1
n ≈ 8 months
Read more about geometric sequence at; brainly.com/question/24643676
#SPJ1
