Solve the problem.Find the area of the shaded portion ( see illustration) of a circle of radius 25 cm, formed by a central angle of  Round your answer to the nearest square cm.  [Hint: Subtract the area of the triangle from the area of the sector of the circle to obtain the area of the shaded portion.]

Fill in the blank(s) with the appropriate word(s).


344 sq. cm

Mathematics

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Solve.On a recent trip, Asha drove 270 miles on 16 gallons of gasoline. How many miles would we expect the car to travel on 1 gallon of gas?

A.  mi
B. 4358 mi
C. 617 mi
D. 16 mi

Mathematics

The augmented matrix is in row-echelon form and represents a system of linear equations. Solve the system using backward substitution.  Write the solution as an ordered pair, if possible.

A. (5, 4) B. No solution C. (6, 6) D. (7, 6)

Mathematics

Solve the problem.A painter can finish painting a house in 6 hours. Her assistant takes 8 hours to finish the same job. How long would it take for them to complete the job if they were working together?

A.  hr
B. 3 hr
C. 7 hr
D. 5 hr

Mathematics

Solve the following system by any appropriate method. If there is no real number solution, so state. -  = 1x + y + 11 = 0

A. (- 3, - 3) B. (- 5, - 6) C. (6, - 17) D. (-12, -1)

Mathematics