The answer is x= 23/12 OR x=1 11/12 OR x=1.916
9514 1404 393
Answer:
27 cm³
Step-by-step explanation:
The surface area of a cube is ...
SA = 6s²
Then the edge length is ...
54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area
9 cm² = s² . . . . . .divide by 6
3 cm = s . . . . . . . take the square root
The volume of a cube is ...
V = s³
V = (3 cm)³ = 27 cm³
The volume of the cube is 27 cm³.
Answer:
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Answer:
42.25 feet
Step-by-step explanation:
The height function is a parabola. The maximum value of a negative parabola is at the vertex, which can be found with:
x = -b/2a
where a and b are the coefficients in y = ax² + bx + c.
Here, we have y = -16t² + 52t. So a = -16 and b = 52. The vertex is at:
t = -52 / (2×-16)
t = 13/8
Evaluating the function:
h(13/8) = -16(13/8)² + 52(13/8)
h(13/8) = -169/4 + 169/2
h(13/8) = 169/4
h(13/8) = 42.25
