Answer:
15.59 un²
Step-by-step explanation:
18 ÷ 3 = 6
15.59 un²
Answer:
The rotation of the rectangle, of area 12 squared units, about y-axis produces a cylinder, with a volume of 48
cubic units.
Step-by-step explanation:
Rotation about x-axis or y-axis at an angle requires some general rules. When a 2D figure is rotated about a line a 3d figure would be produced. This can be done through a process called solid of revolution.
From the question, connecting the given coordinates produces a rectangle with a length of 4 units and width 3units.
Area of the rectangle = Length × width
= 4 × 3
= 12 square units
The required rule for rotation of a figure about y-axis is: (x, y) → (-y, x).
If the given rectangle is rotated about y-axis, a cylinder would be formed.
The volume of the cylinder = V = 
h
where: r = 4 units and h = 3 units.
V =
×
× 3
= 48
cubic units
Therefore, the rotation of the rectangle of area 12 squared units produces a cylinder with volume of 48
cubic units.
Answer:
just do it like carry the 1
Step-by-step explanation:
Answer:
The answer is 155.
Step-by-step explanation:
We can find the remaining parts of the triangle angles.
Answer:
The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30
Step-by-step explanation:
Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).
To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.
Substituting 2 to the first expression gives:
-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18
Substituting 2 to the second expression gives:
-12(2) - 6 = -24 - 6 = -30
Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.