Answer:
2/-5
Step-by-step explanation:
(-2) - (-4) = 2
(-6) - (-1) = -5
Answer for part a: 10 centimeters
answer for part b: 13.9 inches
Answer:
5/7
Step-by-step explanation:
3/4-1/28
21/28-1/28
20/28
simplify
5/7
The formula of a volume of a cuboid:
l - length
w - width
h - height
We have:
l = (x + 4) cm
w = (x + 1) cm
h = 3 cm
Substitute:
<em>use distributive property</em>
<em>combine like terms</em>
Answer:
9 cm
Step-by-step explanation:
Since the container is a cylinder of base diameter d₁ = 12 cm and thus radius r = 12/2 = 6 cm. The water height is 8 cm. The initial volume of water is thus V₁ = πr²h = π × 6² × 8 = 288π cm³.
The sphere of diameter d = 6 cm has radius r₁ = 6/2 = 3 cm. Its volume V₂ = 4πr³/3 = 4π × 3³/3 = 36π cm³
Since the sphere displaces it own volume of liquid, the new volume V = V₁ + V₂ = 288π cm³ + 36π cm³ = 324π cm³
This is the new volume of water in the cylinder. Since the water level rises by h' cm and V = πr²h'
h' = V/πr²
= 324π cm³/π(6)²
= 324π cm³/36π cm²
= 9 cm
So, the water level is 9 cm above the base
