Answer:
The equation of the perpendicular line:
2x + 5y = ╼ 15
Answer:
3141.59
Step-by-step explanation:
Formula: V = Pi x Radius(squared) x Height
so
Pi x 10(squared) x 10 = 3141.59
Answer:
Step-by-step explanation:
A) 120 / 2 = 60°
B) 180 - 90 60 = 30°
C) 60° same as arc length GE in part A above
D) 9 units = Rsinθ = 18sin30
Part A:
The distance between two points can be calculated through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Each of the point may take the 1st or the 2nd coordinates. Substituting the known values,
d = sqrt ((23 - 2)² + (3 - 24)²)
d = 21√2
d = 29.7
Part B:
We get the angle between the lines generated from points and the origin.
Angle 1: θ = tan⁻(3/23) = 7.43°
Angle 2: θ = tan⁻(24/2) = 85.24°
Subtracting the values,
Angle = 77.8°
Thus, the polar coordinate is (29.7, 77.8°).
Answer:
Step-by-step explanation:Rectangles have 4 sides--2 = lengths and 2 = widths, so perimeter = 2l + 2 w = 2(l + w).
l + w = (2x - 1) + (x + 3) = 3x + 2. Then double with distributive property P = 2(3x + 2)
P = 6x + 4
You could also do distributive property twice: 2(2x - 1) + 2(x + 3) = 4x - 2 + 2x + 6 = 6x + 4.
