Step-by-step explanation:
You have 120 bottles of Cola and 120 bottles of Sprite.
You can exchange 3 empty Cola bottles for a new bottle of Sprite.
You can exchange 4 empty Sprite bottles for a new bottle of Cola.
You can borrow empty bottles, but must return them in the end.
What is the maximal number of bottles of drink that you can drink? Prove the optimality of your result.
As this is a puzzle, please give short and clever answers rather than tedious bruteforce calculations.
Answer:
To convert fraction to decimal, divide 3/10, which would give you . 3 which is already a decimal. To convert decimal to percent, multiply by 100 which would give you 30, hence 30%
Answer:
87.92
Step-by-step explanation:
Consider the following equations for a circle:
Diameter: r x 2
Area: pi x r^2
Circumference: 2 x pi x r
(r equals radius)
All we have to do is figure out what the radius is, so we can calculate the circumference!
615.44/pi = 196
sqrt 196 = 14
14 x 2 x pi = 87.92 feet
See the attached image to see the alternate interior angles that are congruent (due to the parallel horizontal lines)
tan(angle) = opposite/adjacent
tan(31) = y/400
400*tan(31) = y
y = 400*tan(31)
y = 240.344247611024 <<-- use a calculator; make sure you are in degree mode
y = 240.3
Answer: 240.3
