Answer:
Center: (3,5)
Radius: 2
Step-by-step explanation:
x² + y² - 6x - 10y + 30 = 0
Put equation into center-radius form. First regroup terms:
(x²-6x) + (y²-10y) = -30
Complete the squares:
(x²-6x+3²) + (y²-10y+5²) = -30 + 3² + 5²
(x-3)² + (y-5)² = 4 = 2²
Center: (3,5)
Radius: 2
Answer:
Step-by-step explanation:
x²+y²=r²
r²=12
r=√12=2√3
Image is missing, so i have attached it.
Answer:
AC = 10sin 40°
Step-by-step explanation:
From the diagram attached, using terms in trigonometric ratio, AC is the opposite side, BC is the adjacent side and AB is the hypotenuse.
Thus, since we want to find AC;
We know that in trigonometric ratios; opposite/hypotenuse = sin θ
In the diagram, θ = 40° and AB = 10
Thus,
AC/10 = sin 40°
Multiply both sides by 10 to get;
AC = 10sin 40°
We need more info or a pic
Answer:
65° and 115°
Step-by-step explanation:
let one angle be x then the other is x + 50
The sum of 2 supplementary angles = 180°, hence
x + x + 50 = 180
2x + 50 = 180 ( subtract 50 from both sides )
2x = 130 ( divide both sides by 2 )
x = 65
Thus the 2 angles are x = 65° and x + 50 = 65 + 50 = 115°
