Answer:
Step-by-step explanation:
Cross multiplying
5z =14*24
5z = 336
Divide by 5
z = 336/5
Or mixed fraction z= 67(1/5)
Decimal z= 67.2
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
Answer:
.
Step-by-step explanation:
Given information:
Radius of circle = 8 cm
Area of sector =
Formula for area of sector is
where, r is radius and
is central angle in radian.
Substitute
and r=8 in the above formula.
Therefore, the measure of the sector in radians is
.
55/20=2 as qutiont and 15 as remainder
2X84=168
15X5=75
answer=243