Answer:
See below ~
Step-by-step explanation:
⇒ 65 = 65 + y (alternate exterior angles)
⇒ y = 0
⇒ 4(12x + 1) + 15 = 180 - 65 - y (Linear angles)
⇒ 48x + 4 = 100 - 0
⇒ 48x = 96
⇒ x = 2
⇒ 3(7z + 6) + 5(5z + 1) = 115 (Both the angles are equal "alt. ext. angles")
⇒ 21z + 18 + 25z + 5 = 115
⇒ 46z + 23 = 115
⇒ 46z = 92
⇒ z = 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
What
ask the question I will answer it
go ahead ask
Let's rephrase this:
Here:
There are 3 geometric transformations:
1. Rotation
Shapes are rotated or turned around an axis.
2. Reflection
Shapes are flipped across an imaginary line to make mirror images.
3. Translation
Shapes are slid across the plane.
Answer:
it is c
Step-by-step explanation:
c
