Find the area of a sector of a circle if the radius of the circle is 12.3 cm and the arc of the sector is 36°. Round answer to two decimal places.

What will be an ideal response?


47.53 cm²

Mathematics

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Solve the problem.A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing  of salt runs into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 3 gal/min. Find the solution to the differential equation that models the mixing process.

A. y = 4(50 + t) - 
B. y = 4(50 + t) - 
C. y = 2(100 + t) - 
D. y = 2(100 + t) - 

Mathematics

Determine the slope and the y-intercept. Then graph the equation.x + y = 4

A. m = 1; y-intercept: (0, -4)

B. m = 1; y-intercept: (0, 4)

C. m = -1; y-intercept: (0, -4)

D. m = -1; y-intercept: (0, 4)

Mathematics

Determine the vertex of the graph of f.f(x) = -4x2 - 32x - 63

A. (4, -1) B. (-4, 1) C. (1, -4) D. (-1, 4)

Mathematics

Solve the equation.log 125 x = 

A. {5}
B. {125}
C. {}
D. {25}

Mathematics