Answer:
The answer to your question is 10 hours.
Step-by-step explanation:
Inequality 12h + 240 > 360
Solve the inequality as if it was an equation
12h > 360 - 240
12h > 120
h > 120 / 12
h = 10 hours
Let's evaluate some number of hours
If h = 3 12(3) + 240 > 360
36 + 240 > 360
276 > 360 Incorrect, she needs to work more
than 3 hours
If h = 5 12(5) + 240 > 360
60 + 240 > 360
300 > 360 Incorrect, she needs to work more
than 5 hours
If h = 7 12(7) + 240 > 360
84 + 240 > 360
324 > 360 Incorrect she needs to work more
than 7 hours
If h = 11 12(11) + 240 > 360
132 + 240 > 360
372 > 360 Correct, she needs to work at least
10 hours.
Answer: 135cm
Step-by-step explanation
Volume of a cylinder = πr²h
Volume of a cone. = 1/3πr²h
The two shapes are both solid shapes.
Since the have same volume, we can then equate the two together and solve for the height of the cone.
Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.
Now equating the two
πR²H = 1/3πr²h
Now substitute for the values now
Multiply through by 3
3πR²H = πr²h
But π is common so it could be obliterated from the equation
3R²H = r²h
3 x 12² x 20 = 8² x h
3 x 144 x 20 = 64 x h
60 x 144 = 64h
8640. = 64h
Therefore
h = 8640/64
= 135cm
Answer:
c
Step-by-step explanation:
Answer:
324 feet
Step-by-step explanation:
h(3) = 16(3)^2 + 180
h(3) = 16(9) + 180
h(3) = 144 + 180
h(3) = 324
