Answer: volume = 1282.2 ft³
Step-by-step explanation:
The composite figure consists of a cone and a cylinder. The volume of the composite figure is
Volume of cylinder + volume of cone.
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Radius = 7 ft
Height = 6 ft
Volume = 3.14 × 7² × 6 = 923.16ft³
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
From the information given,
Radius = 7 ft
Height = 7ft
Volume = 1/3 × 3.14 × 7² × 7 = 359ft³
Volume of composite solid =
923.16 + 359 = 1282.2 ft³
Answer:
x = 2
UV = 9 ft
VW = 6 ft
WU = 5 ft
Step-by-step explanation:
The perimeter of a figure can be represented as the sum of lengths of all of its sides. In this case we can write:
P = UV + VW + WU
Now, we can substitute the values which we have:
20 = 4x + 1 + 8 - x + 2x + 1
We can combine like terms...
20 = 5x + 10
5x = 10
x = 2
Since UV is represented by 4x + 1, we can substitute in x to find its length.
UV = 4x + 1
UV = 4(2) + 1
UV = 6 + 1
UV = 9
We can do the same for the other two sides:
VW = 8 - x
VW = 8 - 2
VW = 6
WU = 2x + 1
WU = 2(2) + 1
WU = 4 + 1
WU = 5
Answer:
9
Step-by-step explanation:
(-9)^1/3 * (-81)^1/3
We can rewrite -81 as 9 * -9
So it can be rewritten as:
(-9)^1/3 * (9*-9)^1/3
Since they are all raised to the 1/3, we can combine the bases:
(-9*9*-9)^1/3 =
(9*9*9)^1/3, because the two negatives turn into a positive:
So this is basically:
(9^3)^1/3 = 9^1 = 9
Answer:6
Step-by-step explanation:
4.8(x)+1.2(y)=2.4
y would equal -6.
4.8(2)+1.2(y)=2.4
9.6 + 1.2y = 2.4 subtract 9.6 from both sides
1.2y = - 7.2 divide by 1.2 on both sides
y = -6
You have to substitute 3+h for x, then work out the equation.
(3+h)^2 + 3(3+h) + 5 = 9 + 6h + h^2 + 9 + 3h + 5 =
h^2 + 9h + 23
Answer B.
