Answer:
Step-by-step explanation:
10/7 x 9/8 = 90/56 = 45/28.
7/9 x 8/10 = 56/90 = 28/45
If you want to multiply these, the answer is (28*45) / 28/45) = 1.
Answer:
y - intercept = 2.25
Step-by-step explanation:
y = mx + c
Where,
y = Total cost
x = additional cost
m = slope
c = y - intercept
y = 0.25x + 2.25
Relating with the above equation,
y - intercept = 2.25
Slope, m = 0.25
Answer:
The Length of third side is 52 units.
Step-by-step explanation:
Given:
Length of First side = 48
Length of second side = 20
Also given the angle between them is 90°.
Hence we can say figure shown is a right angled triangle.
For finding the third side we can use Pythagoras theorem which states that;
"If a triangle is right angled then, the Square of the hypotenuse is equal to sum of the square of the other two sides."
Hence substituting the values we get;
Now taking Square root on both side we get;
Hence Length of Third side is 52 units.
Step-by-step explanation:
The answer: -1/2
2-3/4-2= -1/2
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
