Answer:
V = 75π
Step-by-step explanation:
The volume of a cone is πr^2 * h / 3
r = 5
h = 12
25π * 3 = 75π
12x - 8y = -12
6x + 4y = -30
Multiply the 2nd equation by 2, to make the Y coefficients opposite:
6x + 4y = -30 x 2 = 12x + 8y = -60
Now add the two equations:
12x -8y = -12 + 12x +8y = -60
= 24x = -72
Divide bothe sides by 24 to solve for x:
x = -72/24
x = -3
Now replace x with -3 in the first equation to solve for y:
12(-3) - 8y = -12
-36 - 8y = -12
Add 36 to each side:
-8y = 24
Divide both sides by -8 to solve for y:
y = 24 / -8
y = -3
X = -3 and y = -3
(-3,-3)
Answer:
3 ≤ w ≤ 4
Step-by-step explanation:
the statements are 3 ≤ w and 4 ≥ w ( or w ≤ 4 )
These can be combined into the single inequality
3 ≤ w ≤ 4
21*x=9*21
9*21=189
21*x=189
Divide 189 by 21 to solve for X or in this case "Blank"
189/21= 9