Answer:
Area of the shaded region = 23.33 in²
Step-by-step explanation:
Area of a sector = 
Where θ = Central angle subtended by an arc
r = radius of the circle
Area of the sector BCD = 
= 52.36 in²
Area of equilateral triangle BCD = 
= 
=
in²
= 43.30 in²
Area of the shaded portion in ΔBCD = 52.36 - 43.3
= 9.06 in²
Area of sector CAD = 
= 39.27 in²
Area of right triangle CAD = 
= 
=
= 25 in²
Area of the shaded part in the ΔACD = 39.27 - 25
= 14.27 in²
Area of the shaded part of the figure = 9.06 + 14.27
= 23.33 in²
Answer:
y=ax+1
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
y=ax+1
Answer:
x = - 4, x = 1
Step-by-step explanation:
At the point of intersection
f(x) = g(x) , that is
(x + 3)² = 3x + 13 ← expand left side using FOIL
x² + 6x + 9 = 3x + 13 ( subtract 3x + 13 from both sides )
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
75 females own a blue car out of 300 people. 75/300 x 100 = 25%