Draw a right triangle ABC, with m(CAB)=∅.
Let CB=7 units, AC=8 units, so by the Pythagorean theorem:
(units)
so we have drawn a triangle where sin∅=7/8
in this triangle, cot∅=(adjacent side)/(opposite side)=
Answer: <span>square root of fifteen divided by seven</span>
You need to subtract the two cutouts on each side, so the side of the box would be 24- 2x. X would then become the height of the box once folded.
The volume is found by multiplying the 4 dimensions:
The volume becomes x(24-2x)^2
Now take the derivative of the formula to solve for x
Dv/dx= (24-2x)^2 + x^2(24-2x)*-2
= 24-2x(24-2x-4x)=0
X =12 or 4
24-2x = 24-2(4) = 24-8=16
Volume = 16 x 16 x 4 = 1024 cubic inches.
Because the two vertices have the same x-coordinate, the side is a vertical line. It starts vertically from -18 to 18
the length = 18 - (-18)
the length = 18 + 18
the length = 36
The length of the side is 36 unit
Step-by-step explanation:
first box on the left
r=4
d=8
circumference= 2π*4= 8π
area = π*4*4= 16π
Second box on the left
d=6
r= 3
circumference= 2π*3= 6π
area =π*3*3= 9π
third box on the left
A=36π
A=36πarea= π*r*r
A=36πarea= π*r*rr= 6
A=36πarea= π*r*rr= 6d=12
A=36πarea= π*r*rr= 6d=12circumference= 2π*6= 12 π
the last box
C=18π
C=18πC= 2π*r
C=18πC= 2π*rr= 9
C=18πC= 2π*rr= 9d=18
C=18πC= 2π*rr= 9d=18area= π*9*9= 81π
Answer: D
Step-by-step explanation:
