I got 5,300. I’m not sure if that’s what you meant for “d”.
Answer:
Weight of a quarter = 6.25 grams
Weight of a dime = 2.5 grams
Step-by-step explanation:
The weight of a nickel is 80%
The weight of a quarter or the weight of a nickel is 5 grams or weight of a quarter =50.8 = 6.25 grams
Weight of a dime = 50% = 12 (weight of nickel) = 52 = 2.5 grams
We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
