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:
1. yes this is proportional
2. your table should include the following numbers
1 = 34
2 = 46
3 = 58
4 = 70
3. 12x + 22 = y
Step-by-step explanation:
Answer:
A=3rd one
B=Yes, Its a straight line through the origin
C=1 cookie costs $0.75
Step-by-step explanation:
The reason why C is $0.75 is because of ratios.
2:$1.5
2 divided by 2=1
2 divided by $1.50=$0.75
$0.75 per cookie
Answer:
D. 
Step-by-step explanation:
We have been given an image of a circle. We are asked to find the measure of arc WX.
Upon looking at our given diagram, we can see that angle S is formed by intersecting secants outside the circle.
We will use intersecting secants theorem, which states that measure of an angle formed by two intersecting secants outside a circle is half the difference of intercepted arcs.
Using above theorem, we can set an equation to find the measure of arc WX as:
Therefore, the measure of arc WX is 32 degrees and option D is the correct choice.
