Answer:
sqrt(170) or approximately 13.038
Step-by-step explanation:
We can use the Pythagorean theorem to find the diagonal since the diagonal makes a right triangle
a^2 + b^2 = c^2
We need to find the leg lengths
ML = 7 and MJ = 11
7^2 + 11^2 = JL^2
49+ 121 = JL ^2
170 = JL ^2
Take the square root of each side
sqrt(170) = JL
13.038 = JL
Answer:
I don't normally really really really really really really really really
Answer:
y=100 pages
Step-by-step explanation:
y=15x+10
y=15(6)+10
y= 90+10
y=100
Answer:
C(x)= 41x + 680
Step-by-step explanation:
If the fixed cost is 680, that will apply regardless of how many jackets the company makes for you. The number of jackets is unknown. However, we know that the cost of producing a single jacket is 41, so we can represent that expression as 41x. Putting those things together gives us a function of the cost:
C(x) = 41x + 680
The perimeter in this case will be:
p=2x+y and we are told that p=84yd so
2x+y=84
y=84-2x
Now for the area:
A=xy, and using y found above in this gives you:
A=x(84-2x)
A=84x-2x^2 now taking the derivatives gives you the velocity and acceleration of the area function...
dA/dx=84-4x and d2A/dx2=-4
Since the acceleration is a constant -4, when velocity is equal to zero it is at the absolute maximum value for the area function...
dA/dx=0 only when 84=4x, x=21
So the maximum possible area will occur when x=21
A(21)=84(21)-2(21^2)
A(21)=882 yd^2
