Answer: x=12y/-8-3
Step-by-step explanation: image below
Answer:
A) ∠BEC is one-half of ∠BAC
B) ∠BEC = 60°
C) ∠BDC = 120°
Step-by-step explanation:
C) arc BDC = 120°
arc BEC = 360° - 120° = 240°
∠BDC = 1/2(240°) = 120°
Answer:
10 <3
Step-by-step explanation:
Answer:
40π/3 cm^2 ≈ 41.89 cm^2
Step-by-step explanation:
The centerline of the shaded region has a radius of 3cm+(4 cm)/2 = 5 cm. Its length is 1/3 that of the circumference of a circle with that radius (because 120° is 1/3 of 360°).
The area is the product of the centerline length and the width of the shaded area (4 cm).
shaded area = (1/3)(2π(5 cm))(4 cm)
shaded area = 40π/3 cm^2 ≈ 41.89 cm^2
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<em>Alternate solution</em>
The area of the donut is the difference in the areas of the outer and inner circles:
πr₂² -πr₁² = π((7 cm)^2 -(3 cm)^2) = 40π cm^2
The are of the shaded region is (120°/360°) = 1/3 of that, so is
shaded area = (40/3)π cm^2
Answer:
X=9
Step-by-step explanation:
10x-30 = 7x-3
10x-7x = -3 + 30
3x = 27
x=9
