R= 18
d=r(2)
36=r(2)
36/2=r(2)/2
18=r
<span>x^2+y^2=49
</span>
Radius 7
Center (0,0)
<span>x^2+y^2=324
</span>
Radius 18
Center (0,0)
<span>x^2+(y+2)^2=121
Radius 11
Center (0, -2)
</span><span>
(x+10)^2+(y+9)^2=8
</span>
Radius 2√2≈2.82843
Center (-10, -9)
Answer: it's 31.5
Step-by-step explanation:because you would times 9 by 21 then divide by 6
9*21=189
189/6=31.5
Answer:
16,242. 7 cm^3.
Step-by-step explanation:
We need to cut off a square piece at the 4 corners of the cardboard.
Let the length of their edges be x cm.
The volume of the box will be:
V = height * width * length
V = x(100-2x)(40-2x)
V = x(4000 - 200x - 80x + 4x^2)
V = x(4x^2 - 280x + 4000)
V = 4x^3 + - 280x^2 + 4000x
Finding the derivative:
dV / dx = 12x^2 - 560x + 4000 = 0 ( when V is a maxm or minm.)
4(3x^2 - 140x + 1000) = 0
x = 37.86, 8.80.
Looks like x = 8.80 is the right value but we can check this out be looking at the sign of the second derivative:
V" = 24x - 560, when x = 8.8 V" is negative so this is a Maximum for V.
So the maximum volume of the box is when x = 8.8 so we have
V = 8.8(100-2(8.8)(40 - 2(8.8)
= 16,242. 7 cm^3.
