Answer:
Maximum area =18
The area of the quadrilateral as a function of x and y = xy/2
Step-by-step explanation:
As the quadrilateral has mutually perpendicular diagonals, it is a rhombus. The area of a rhombus is denoted by the formula xy/2.
So, the area of the quadrilateral is xy/2.
As the sum of the sides is 12
x + y = 12
y = 12- x
So, the area, as a function of x alone, becomes x(12- x)/2
To find the maximum area, we find the derivative of the area function with respect to x and equate it to 0.
d/dx(x(12 - x)/2) = 0
d/dx(12x - x^2) = 0
12- 2x = 0
x = 6
The maximum area will then be 6(12- 6)/2 = 36/2 = 18
So, the maximum area is 18.
Answer:
I think the answer is 4
Step-by-step explanation:
Don't count on me but I think it could be right
Answer:
We conclude, Mohammed's opportunity cost knitting one sweater is 48 cookies.
Step-by-step explanation:
We have that Mohammed can knit 5 sweaters or bake 240 cookies.
In one week Aisha can knit 15 sweaters or bake 480 cookies.
We calculate how much is Mohammed's opportunity cost knitting one sweater. We get
\frac{240}{5}= 48.
We conclude, Mohammed's opportunity cost knitting one sweater is 48 cookies.
Answer:
(100 - 8<em>n</em>) is our equation, with 100 being the gift card balance, 8 being the cost of each album, and n being the number of albums.
When n = 6, the equation equals 52. This means that you have $52 left after purchasing 6 albums.
Answer:
Prism A
Step-by-step explanation:
5 times 4 times 4 is 100
7 times 3 times 3 is 63
The difference is 17