"Starting with three, every consecutive line has 2 less than twice the previous line."
this statement means that
your staring line has 3 marbles. You multiply the 3 marblesby 2 so
3x2=6
And then you minus it by 2
6-2=4
which means that you'll get 4 marbles for the next line.
So to get your 6th line, you count how many marbles is on the 5th line but since your diagram doesn't have the 5th line you have to figure out the 5th line by counting how.many marbles is on the 4th line.
4th line = 10 marbles
10×2=20
20-2=18
5th line = 18
18×2=36
36-2=34
So the 6th line has 34 marbles.
Convert the expression
then, multiply the fractions, numerators and denominators separately
and you'll get 10/3, to simplify it'll be 3 1/3 or 3.3333
Answer:
The answer to your question is 13.2 ft
Step-by-step explanation:
Data
length of the ladder = hypotenuse = 16 ft
adjacent side = 9 ft
opposite side = ?
Process
1.- To solve this problem use the Pythagorean theorem
c² = a² + b²
Solve for b²
b² = c² - a²
2.- Substitution
b² = 16² - 9²
3.- Simplification
b² = 256 - 81
b² = 175
b = 13.2 ft
4.- Conclusion
The ladder is 13.2 ft resting against the building.