Ametronome is a device that ticks at adjustable intervals to keep time when playing music. the metronome on ryan’s piano has the basic shape below.

if the metronome was created out of a piece of solid wood, what is the minimum amount of solid wood that was used? fyi, the number that is hard to see is 20.5

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

think the answer is 30 degrees. if not than it is 20 degrees. not 100% sure. let me know if it was right.

gill russ