Let's say the length of the ladder is "d". Since the distance from the bottom of the ladder to the building is 16 feet less than the length, we can write this as d - 16.
The distance from the ground to the top of the ladder is 2 feet less than the length of the ladder, so we can denote this as
d - 2.
The shape made by the ground, ladder, and side of the building is a right triangle, and we just found its legs. We can use the Pythagorean Theorem to solve for "d" and find how far up the side of the building the ladder is:
(d - 16)^2 + (d - 2)^2 = d^2
(d^2 - 32d + 256) + (d^2 - 4d + 4) = d^2
2d^2 - 36d + 260 = d^2
d^2 - 36d + 260 = 0
(d - 26) * (d - 10) = 0
d = 26 or d = 10
The answer d = 10 does not fit in this case because it isn't possible to have 16 feet less of 10 feet; it would be negative!
So, d = 26. The top of the ladder to the ground is 2 less than d, so we do 26 - 2 = 24 feet.
The answer is 24 feet.
The formula for compound interest is:
A=P(1+r/n)^(nt)
Where A represents the amount of money in the account after t years, P is the principal (investment), n is the number of compoundings per year, and r is the interest rate in decimal form.
P=11,100
r=.031
n=12 (monthly)
t=19
A=11,100(1+.031/12)^(12*19)
A=11,100(1+. 002583)^(228)
A=11,100(1.002583)^(228)
A=11,100(1.80082)
A=$19,989.10
Monthly:
There are 12 months in a year. So, all we have to do is divide his yearly salary by 12.
57,852÷12
4,821
So, Jeremy's monthly salary is $4,821.
Weekly:
There are about 52 weeks in a year. So, we need to divide his yearly salary by 52.
57,852÷52
1,112.54
So, Jeremy's weekly salary is $1,112.54.
25/10= 2.5
So, we know that the larger triangle is bigger than the smaller one by a dilation of 2.5.
14*2.5= 35
x= 35
I hope this helps!
~kaikers
To answer this question and you will use exponents.
When you fold your paper three times, it is represented as two cubed or 2^3.
When you for your other sheet of paper two times, it is represented as two squared or 2^2.
Put Both of these together and you have 8+4 which equals 12.
It will take 12 layers of paper.
