Let A = arc length of circle
A = 2πr•(degree/360°)
A = 2π(12)(150°/360°)
A = 24π(150°/360°)
Calculate the right side to find A and you're done. Take it from here.
Answer:
The area of the poster board is 432in²
Step-by-step explanation:
Area = base x height
Area = 18 x 24
Area = 432in²
Answer:
6
Step-by-step explanation:
y=mx+b
93.40=8.40x+43
the 93 is the amount we want to get to, 8.40 represents the value of each sign and the 43 is the original cost
Answer:
4 roots: 2 , -3, 1+√2, 1 - √2
Step-by-step explanation:
x⁴ − x³ − 9x² + 11x + 6 = 0 leading: 1 (x⁴) Trailing: 6 (1,2,3,6)
possible roots: trailing/leading (±1 , ±2, ±3, ±6)
Test: x = 2 (2)⁴ - (2)³ - 9*(2)² + 11*(2) + 6 = 0
x = -3 (-3)⁴ - (-3)³ - 9*(-3)² + 11*(-3) + 6 = 0
By rational roots test: possible roots (x-2)(x+3) are factors
Long division: (x⁴ − x³ − 9x² + 11x + 6) / (x-2)(x+3) = x²-2x-1
roots of x²-2x-1: x= (-b±√b²-4ac) / 2a
x = (2 ± √4+4) / 2 = (2 ± 2√2) / 2 = 1 ± √2
