Answer:
The area of the shaded = 8 - 2π units²
Step-by-step explanation:
The area of the shaded portion = area square - area not shaded portion
Not shaded portion consists of two equal segments
∵ The side of the square = the radius of the circle = 2
∵ The measure of each angle of the square = π/2 (90° = π/2 rad)
∵ Area each segment = Area sector - area triangle
∵ Area triangle = 1/2 × (2) × (2) = 2 units²
∵ Area sector = (1/2)r²Ф ⇒ r = 2 , Ф = π/2
∴ Area sector = (1/2) (2)² (π/2) = π units²
∴ Area each segment = π - 2
∴ Area not shaded = 2(π - 2) = 2π - 4 units² ⇒ two segment
∵ Area square = 2 × 2 = 4 units²
∴ Area shaded portion = 4 - (2π - 4) = 4 - 2π + 4
= 8 - 2π units²
Answer:
69.2°
Step-by-step explanation:
From the diagram attached to this solution. We shall be considering
Tan θ = opp/adj
Where θ = ?
Opp = AC = 385feet
Adj = AB = 146feet
Tan θ = AC/AB
Tan θ = 385/146
Tan θ = 2.636
θ = tan^-1 2.636
θ = 69.225
θ = 69.2°
Hence the angle to the horizon is 69.2°
Answer:
5 rows of 4 each
4 rows of 5 each
2 rows of 10 each
10 rows of 2 each
1 row of 20
20 rows of 1
Step-by-step explanation:
Answer:
36 boys
Step-by-step explanation:
let x be the number of pupils in the class , then
x + 24 = x ( multiply through by 5 to clear the fraction )
3x + 120 = 5x ( subtract 3x from both sides )
120 = 2x ( divide both sides by 2 )
60 = x
Then
number of boys = × 60 = 3 × 12 = 36