The first number would be represented by x, the second as
x+2 and the third as
x+4. Together they equal 117, so x+x+2+x+4= 117. You can sinplify that to equal 3x+6=117. You then solve for x (subtract the 6 from both sides to get 3x=111, and then divide both sides by 3 and you get x=37). The three numbers would be 37,39, and 41. The smallest is 37.
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
28 x 12 = 336
336 - 16 = 320
320 divided by 4 = 80
80
Lights
just separate the ramge and domain
Answer:
-8 degrees
Step-by-step explanation
Half of negative 16 would be negative 8.
