Answer:
B. 30°
Step-by-step explanation:
By remote interior angle theorem:
100° = x + 70°
100° - 70° = x
30° = x
x = 30°
Answer:
C. 54π + 20.25√3 cm²
Step-by-step explanation:
The shaded area can be split into two areas: a sector and an isosceles triangle.
Area of a sector is:
A = (θ/360°) πr²
where θ is the central angle and r is the radius.
Area of an isosceles triangle can be found with SAS formula:
A = ½ ab sin θ
where a and b are two sides of a triangle and θ is the angle between them.
In this case, r = a = b = 9 cm. The central angle of the sector is 240°, and the vertex angle of the triangle is 120°. Therefore, the total area is:
A = (240°/360°) π (9 cm)² + ½ (9 cm) (9 cm) sin 120°
A = 54π + 20.25√3 cm²
Answer:
1 4/11 or 1.36
Step-by-step explanation:
6/11 ÷ 2/5
6/11 x 5/2 = 30/22
30/22 > 15/11
15/11 = 1 4/11
Answer:
Fraction: 1/2
Precentage: 50%
Step-by-step explanation: