Answer:
Area = ![1.5w^2+15w+36](https://tex.z-dn.net/?f=1.5w%5E2%2B15w%2B36)
Step-by-step explanation:
Let the width of portrait be 'w'
Given:
Height of portrait without frame (h) = 1.5 times its width = ![1.5w](https://tex.z-dn.net/?f=1.5w)
Width of the frame is 3 inches on all sides.
Area of the framed portrait is the total area of the portrait plus the area of the frame.
The figure representing the above scenario is shown below.
From the figure, area of rectangle ABCD is the area of the framed portrait.
From the figure,
AB =
BC = ![3 + h + 3 = h + 6 = 1.5w + 6](https://tex.z-dn.net/?f=3%20%2B%20h%20%2B%203%20%3D%20h%20%2B%206%20%3D%201.5w%20%2B%206)
Now, area of the rectangle ABCD is given as the product of the length AB and width BC. Therefore,
![Area=AB\times BC\\\\Area=(w+6)(1.5w+6)\\\\Area=(w\times 1.5w)+(w\times 6)+(6\times 1.5w)+(6\times 6)\\\\Area=1.5w^2+6w+9w+36\\\\Area=1.5w^2+15w+36](https://tex.z-dn.net/?f=Area%3DAB%5Ctimes%20BC%5C%5C%5C%5CArea%3D%28w%2B6%29%281.5w%2B6%29%5C%5C%5C%5CArea%3D%28w%5Ctimes%201.5w%29%2B%28w%5Ctimes%206%29%2B%286%5Ctimes%201.5w%29%2B%286%5Ctimes%206%29%5C%5C%5C%5CArea%3D1.5w%5E2%2B6w%2B9w%2B36%5C%5C%5C%5CArea%3D1.5w%5E2%2B15w%2B36)
Therefore, the expression for the area of the framed portrait in terms of the width 'w' is given as:
Area = ![1.5w^2+15w+36](https://tex.z-dn.net/?f=1.5w%5E2%2B15w%2B36)
Answer: :)
Step-by-step explanation:
The answer should be 100 minutes, although I'm not really sure.
Answer:
C. 434π
Step-by-step explanation:
Given:
Radius (r) = 7 in.
Height (h) = 24 in.
Required:
Surface area of the cylinder
Solution:
S.A = 2πrh + 2πr²
Plug in the values
S.A = 2*π*7*24 + 2*π*7²
S.A = 336π + 98π
S.A = 434π
Answer:
The found the slope incorrectly
The found x over y instead of y over x
Step-by-step explanation:
We first need to find the slope
m = (y2-y1)/(x2-x1)
= (6-3)/(4 --2)
= 3/6
=1/2
The found the slope incorrectly
The found x over y instead of y over x