Answer:
The answer to your question is x₁ = 10; x₂ = 5i; x₃ = -5i
Step-by-step explanation:
x³ - 10x² + 25x - 250 = 0
Factor by grouping
x²(x - 10) + 25(x - 10) = 0
(x - 10) (x² + 25) = 0
x₁ - 10 = 0
x₁ = 10
x² + 25 = 0
x² = -25
x² = ± √-25
x² = ± √25i²
x₂ = 5i
x₃ = -5i
Answer:
Area = 6.6 cm²
Step-by-step explanation:
Area of the shaded region =
Area of Rectangle - Area of Trapezoid - Area of circle - Area of Triangle
Area of rectangle = Length x Breadth
= 3 x ( 1.5 + 2 + 1.5)
= 3 x 5
= 15 cm²
Area of the trapezoid = h x ( a + b )/2
= 1.5 x ( 3 + 1)/2
= 1.5 x 2
= 3 cm²
Area of the circle = π x r²
= 3.14 x 1 [diameter, d = 2 cm, r = d/2 =1]
= 3.14 cm²
Area of triangle = (1/2) x base x height
= (1/2) x 3 x 1.5
= 2.25 cm²
Area of the shaded region = 15 - 3 - 3.14 - 2.25
= 6.61 cm²
= 6.6 cm ² [ round to nearest tenth ]
Answer:
1/2
Step-by-step explanation:
3x=(1/2)(2x+2)
3x=x+1
3x-x=x-x+1
2x=1
x=1/2
The area of the rectangle portion is base times hight, in this case 6 * 10, which we get 60 for. Next to find the area of the triangle we calculate 1/2 base times hight, or 1/2 6 * 7, which we get 21 for. 60 + 21 = 81m^2
Answer:
224 in^3
Step-by-step explanation:
The foruma appropriate to the calculation of the cone's volume is ...
V = (1/3)Bh
where B represents the area of the base and h represents the height.
For your numbers, this is ...
V = (1/3)·(48 in^2)(14 in) = (16 in^2)(14 in) = 224 in^3
