He goes 50 mph for 200 miles, meaning he travels 200/50 = 4 hours.
He then goes 40 mph for 100 miles, meaning he travels 100/40 = 2.5 hours.
So, he travels 300 miles in 6.5 hours, meaning he goes 300/6.5 = 46.1538 mph.
Let
x------> the length side of the square base of the box
y-------> the height of the box
we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1
<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>
surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x
step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm
the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm
Divide both fractions by the same number.
I believe the anwser is 2
X + x - 32 = 180
2x - 32 = 180
2x = 212
x = 106
x - 32 = 106 - 32 = 74
the other 2 angles = 90
