Answer:
12) 25π/3 cm² ≈ 26.18 cm²
13) C. 2π m²
Step-by-step explanation:
Area of a sector is:
A = πr² (θ / 360°)
where r is the radius of the circle, and θ is the angle of the sector.
12) The diameter is 20 cm, so the radius is 10 cm. The angle of each sector is 30°. So the area is:
A = π (10 cm)² (30° / 360°)
A = 25π/3 cm²
A ≈ 26.18 cm²
13) To find the area, first find the radius using Pythagorean theorem.
a² + b² = c²
r² + r² = (4 m)²
2r² = 16 m²
r² = 8 m²
So the area is:
A = π (8 m²) (90° / 360°)
A = 2π m²
Answer:
39 and 19
Step-by-step explanation:
sum: a+b=58
larger: a-b=20
(a+b)-(a-b)=58-20
2b=38 --> b = 19, a=39
If angle A and B are complementary that means,
Measure of angle A + Measure of angle B = 90°
(x+16)° + (x-12)° = 90°
x+16+x-12 = 90°
2x+4 = 90°
2x+4-4 = 90°-4 (Subtraction Property)
2x = 86°
2x/2 = 86/2 (Division Property)
x = 43°
So,
For the measure of angle A, Plug in the value of x
(x+16)° = 43+16 = 59° ( ANSWER)
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