Volume of Cone
Volume of the right circular cone is 248.7 m³
Step-by-step explanation:
A right circular cone is a three dimensional geometrical object. Right circular cone is a circular cone whose axis is perpendicular to its base. The slant height is the length of an element. All elements of a right circular cone are all equal.
The volume of the right circular cone is defined as 
where r is radius of the cone and h is the height of the cone
V =
Given diameter d = 8.9 m
So the radius r = 8.9 ÷ 2 = 4.45 m
V = (1/3) × 3.14 × (4.45)² × 12
= (1/3) × 3.14 × 19.80 × 12
= 248.69 m³
Hence the Volume of the right circular cone is 248.7 m³
2x+5=-13
Is that what you want?
Let f and s represent the weights of the first and second objects, respectively.
.. f - s = 200 . . . . . . . . the first is 200 lb heavier than the second
.. s = (1/3)f . . . . . . . . . . the second was 1/3 the weight of the first
In augmented matrix form, the equations can be written
.. f - s = 200
.. f - 3s = 0
The solution is
.. f = 300
.. s = 100
Their total weight is 400 lb, not enough to kill Mr. Boddy. The physics-loving professor is apparently innocent.
Answer:
The pair of equations is consistent
Step-by-step explanation:
A consistent system of equations has at least one solution
- The consistent independent system has exactly 1 solution
- The consistent dependent system has infinitely many solutions
An inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
- a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
- a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
- a ≠ d, and/or b ≠ e, and/or c ≠ f, and
≠ 
, then the system is consistent independent and has exactly one solution
∵ x - 2y = 0
∴ The coefficient of x ⇒ a = 1
∴ The coefficient of y ⇒ b = -2
∴ The numerical term ⇒ c = 0
∵ 3x + 4y - 20 = 0
→ Add 20 to both sides
∴ 3x + 4y - 20 + 20 = 0 + 20
∴ 3x + 4y = 20
∵ The coefficient of x ⇒ d = 3
∵ The coefficient of y ⇒ e = 4
∵ The numerical term ⇒ f = 20
∵ a ≠ d
∵ b ≠ e
∵ c ≠ f
∵ = 
∵ = 
= 
∴ ≠
→ By using rule 3 above
∴ The pair of equations is consistent
Answer:
24 cm^2
Step-by-step explanation:
The three sides are equal (SSS: side, side, side) so the triangles are congruent.
