Answer:
![\frac{dy}{dx}=8.5](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D8.5)
Step-by-step explanation:
Let
denotes number of windows and
denotes the number of yards of fabric needed.
Stephen is making curtains for several windows in his aunt's house. He determines that he needs 8.5 yards of fabric for each window.
a. Equation becomes ![y=8.5x](https://tex.z-dn.net/?f=y%3D8.5x)
This answer is already given in question.
b. To find rate of change in this situation, find ![\frac{dy}{dx}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D)
![y=8.5x](https://tex.z-dn.net/?f=y%3D8.5x)
Differentiate with respect to ![x](https://tex.z-dn.net/?f=x)
![\frac{dy}{dx}=8.5(1)=8.5](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D8.5%281%29%3D8.5)
The answer is B because if you get 5 on the first test then you will have 10 already. if you get at least 1 point on the second then you will have 11 or higher. since the 1st is doubled then the shaded region will retreat by 2 squares for every point less then the maximum you get on the first test.
Answer:
1. Lateral: 72 SA: 142
2. SA: 36 Lateral: 24
Step-by-step explanation:
1. perimeter of base times the height
2l+2w x h
2(5) + 2(7) x 7
24 x 3 = 72
Surface area: A=2(wl+hl+hw)=2·(7·5+3·5+3·7)=142
2. Surface Area
Using the formulas
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving forA
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·2+4·2+3·2+1
2·﹣54+2·(5·4)2+2·(5·3)2﹣44+2·(4·3)2﹣34
=36
Lateral: A=(a+b+c)h=(5+4+3)·2=24
Answer:
Unique triangle.
Step-by-step explanation:
If you were to draw the triangle, you would've been able to see that one angle is open and that the other 2 were closed.