Nickels (0.05): Q + 6
Dimes (0.10): Q + 8
Quarters (0.25): Q
Nickels + Dimes + Quarters = Total
0.05(Q + 6) + 0.10(Q + 8) + 0.25(Q) = 4.70
0.05Q + 0.30 + 0.10Q + 0.80 + 0.25Q = 4.70
0.40Q + 1.10 = 4.70
0.40Q = 3.60
Q = 9
Nickels (0.05): Q + 6 = (9) + 6 = 15
Dimes (0.10): Q + 8 = (9) + 8 = 17
Answer: Nickels = 15, Dimes = 17, Quarters = 9
Answer:
Undefined (They are not equal)
Step-by-step explanation:
None
Check out the attached image below. I added a variable y to help find x
tan(angle) = opposite/adjacent
Focusing on the smaller 30-60-90 triangle, we see that
tan(60) = 91/y
y*tan(60) = 91
y = 91/tan(60)
y = 52.53887
now focus on the largest triangle and we see that
tan(30) = 91/(x+y)
0.57735 = 91/(x+52.53887)
0.57735*(x+52.53887) = 91
0.57735*x + 0.57735*52.53887 = 91
0.57735*x + 30.3333165945 = 91
0.57735*x + 30.3333165945 - 30.3333165945 = 91 - 30.3333165945
0.57735*x = 60.6666834055
x = 60.6666834055/0.57735
x = 105.07782697757
x = 105.1
So the final answer is approximately 105.1