Answer:
there isn't an answer, you can't get the square root of negative numbers. the sqaure root of a negative number does not exist in the set of Real Numbers
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
Answer:
3 bags per weekday
Step-by-step explanation:
Total bags of leaves at the end of the week = 26 bags
Bags of leaves she fills over the weekend = 11 bags
Bags of leaves she fills during weekdays = x bags
Total bags of leaves at the end of the week = Bags of leaves she fills over the weekend + Bags of leaves she fills during weekdays
26 = 11 + x
Subtract 11 from both sides
26 - 11 = 11 - 11 + x
15 = x
x = 15 bags
If she fills the same number of bags with leaves on each of the 5 weekdays.
how many bags she filled each weekday.
Bags she filled each weekday = Total Bags of leaves she fills during weekdays / 5 weekdays
= 15 bags / 5 weekdays
= 3 bags per weekday
Answer:
Its 7/3 or the second one
Step-by-step explanation: