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.
Answer:
y = 2x-3
Step-by-step explanation:
We have 2 points so we can find the slope
m = (y2-y1)/(x2-x1)
= (1--3)/(2-0)
= (1+3)/(2-0)
=4/2
= 2
The y intercept (where x=0) is -3
We can use the slope intercept form of the equation
y= mx+b where m is the slope and b is the y intercept
y = 2x-3
Answer:
measure of a angle 1 = x
measure of angle 2= 3x
3x+1x=180 ( linear pair)
4x=180
x= 180÷4
x= 45
angle one = x= 45
angle two = 3x = 3×45= 135
the 2 angles are
45 and 135
Answer:
9π units²
Step-by-step explanation:
To obtain an exact answer, use π, not an approximation such as 3.14.
A = πr² is the appropriate formula.
Here,
A = (3)^2·π units², or 9π units²
I think
Median is - 4
And
Median is - 4
Mode - I forgot how to do mode sorry!!