A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The height of the cylinder is 13 and the radius is 5. Which expression represents the volume, in cubic units, of the composite figure? Pi(52)(13) – One-third pi (52)(12) Pi(52)(13) – One-third pi (52)(25) Pi(52)(13) + One-third pi (52)(12) Pi(52)(13) + One-third pi (52)(25)

Pi(5^2)(13) + One-third pi (5^2)(12)

Step-by-step explanation:

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C. Pi(5^2)(13) + One-third pi (5^2)(12)

Step-by-step explanation:

ED 2020. Trust.

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240