Answer:
-2.5
Step-by-step explanation:
I think you can solve this question now
The dimensions of the square base after cutting the corners will be (40-2x). The depth of the box will be x, so its volume is given by
V = x(40-2x)²
You can differentiate this to get
V' = 12x² -320x -1600
Setting this to zero and factoring gives
(3x-20)(x-20) = 0
The appropriate choice of solutions is
x = 20/3 = 6 2/3
The
dimensions of the box of maximum volume are
26 2/3 in square by 6 2/3 in deepThe
maximum volume is
(80/3 in)²(20/3 in) =
4740 20/27 in³
*see attachement for the triangles given
Answer:
PQ = 6.8
Step-by-step explanation:
Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:
LN/OQ = MN/PQ
LN = 5
OQ = 17
MN = 2
PQ = ?
Plug in the values
5/17 = 2/PQ
Cross multiply
5*PQ = 2*17
5*PQ = 34
PQ = 34/5
PQ = 6.8
X=-4 is the answer for this question
22+26+28+30+39+44+62+63= 314
Divide the answer by the amount of numbers
=39.25