Answer:
Step-by-step explanation:
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Third option is the correct answer.
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4/10= 8/20, 2/5. For 8/20 u multiply 2 times and for 2/5 u divide by 2
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Answer:
x=15
Step-by-step explanation:
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Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
The area of square: s · s = s²
The area of rectangle: (s + 6) · s = s(s + 6)
So:
s² + s(s + 6) = 56
s² + s(s + 6) - 56 = 0
Answer D.