Answer:
89.80 cm cubed
Step-by-step explanation:
A hemisphere is essentially just half of a sphere. We want to find its volume.
The volume of a sphere is denoted by: V = (4/3)π * r³, where r is the radius. That means the volume of a hemisphere, which is half a sphere, will be denoted by: V = (1/2) * (4/3)π * r³ = (2/3)π * r³.
Here, the radius is 3.5, so plug this in:
V = (2/3)π * r³
V = (2/3)π * (3.5)³ ≈ 89.80 cm cubed
Answer:
1) 7(x/8) + 3/4 = -6
Step-by-step explanation:
The term (7/8)x can be written as 7(x/8).
_____
The associative and commutative properties of multiplication let you put the factors (7)(1/8)(x) in any order or grouping you like.
Here, instead of (7·1/8)·x, the question is offering the rewrite 7(1/8·x), a straightforward application of the associative property.
Answer:
k = 10
Step-by-step explanation:
The external angle of a triangle is equal to the two opposite interior angles.
∠MYZ is an exterior angle of the triangle, thus
4k + 5 + 6k + 10 = 115, that is
10k + 15 = 115 ( subtract 15 from both sides )
10k = 100 ( divide both sides by 10 )
k = 10
Answer:
11250
Step-by-step explanation:
Answer:
where −5 ≤ x ≤ 3
Step-by-step explanation:
The given function is 
.
We want to select the option that describes all the solutions to the parabola.
The domain of the parabola is −5 ≤ x ≤ 3.
This means that any x=a on −5 ≤ x ≤ 3 that satisfies (a,f(a)), is a solution.
This can be rewritten as 
Therefore for x belonging to −5 ≤ x ≤ 3, all solutions are given by:
where −5 ≤ x ≤ 3.
