I'm assuming that 5π3 is in fact 5π/3
convert radian to degrees:
5π / 3 = 5(180°) / 3 = 900° / 3 = 300°
Area of the circle = π r²
A = 3.14 * (6 ft)²
A = 3.14 * 36 ft²
A = 113.04 ft²
Area of the sector:
113.04 ft² * 300°/360° = 94.2 ft²
The area of the sector formed by a central angle measuring 5π/3 radian is 94.2 ft²
The answer to the question is 12,400
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Answer:
x=3 or x=−9
Step-by-step explanation:
Step 1: Subtract 27 from both sides.
x2+6x−27=27−27
x2+6x−27=0
Step 2: Factor left side of equation.
(x−3)(x+9)=0
Step 3: Set factors equal to 0.
x−3=0 or x+9=0
x=3 or x=−9
Answer:
x=3 or x=−9
Answer:
The roots of the function are x = -5/3 and 3. Select these.
Step-by-step explanation:
The roots of the function are the solutions to the function. They are also called the x-intercepts or zeros. To find them, factor the function completely and solve using the zero product property.
f(x) = (3x+5)(x2-6x+9)2 becomes f(x) = (3x+5)(x-3)^2
Set each factor equal to 0 and solve for x.
(3x+5)=0
3x = -5
x = -5/3
(x-3)^2 = 0
x - 3=0
x = 3