Answer:
the answer is 50.27 cm for your question
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
B- They are always congruent. Congruent means in agreement or harmony. But in this case, identical in form. Parallelograms are parallel on both sides, which makes them have congruent sides.
P.S.- This is elementary level, no offense.
Answer is
C. it's one half the area of rectangle of length 4 units and 3 units
because
Area of rectangle = 4 x 3 = 12
Area of triangle = 1/2(4)(3) = 6
so Area of triangle is one half the area of rectangle of 4 and 3 units
3/8x+1=9/4
3/8x=9/4 -1
3/8x=1.25
0.375x=1.25
x=3.333