Answer: (a) P = 6W + 2
(b) L = 2W + 1
(c) Width = 13cm
Length = 27cm
Step-by-step explanation:
The formula for perimeter of a rectangle is 2(length + width). Since the length is 1 cm more than twice its width, then the length will be:
L = (2 × W) + 1
(b) L = 2W + 1
Therefore, P = 2(L + W)
P = 2( 2W + 1) + 2W
P = 4W + 2 + 2W
(a) P = 6W + 2
Since perimeter is given as 80cm. Therefore,
P = 6W + 2
6W + 2 = 80
6W = 80 - 2
6W = 78
W = 78/6
W = 13
Width is 13cm
Length = 2W + 1
Length = 2(13) + 1
Length = 27cm
<h3>
Answer: 36pi (choice b)</h3>
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Explanation:
Let x = length of side BC
This is the height of the cylinder. Think of a can that is laying on its side. The radius of this can or cylinder is CD
If point B has x coordinate of 12, and BC is 12 units long, this must mean point C has x coordinate of 12-x. This is plugged into the function to show that CD has a length of exactly 
This is the radius of the cylinder
The volume of a cylinder is 
Plug in the radius and height mentioned to get this function in terms of x
That simplifies to
or
Ignore the pi portion for now.
We wish to maximize the function f(x) = 12x-x^2
Use either calculus (specifically derivatives) or a graphing calculator to find that the vertex is at (6, 36)
This means x = 6 leads to the largest f(x) value being 36.
Therefore, the volume V is maxed out when x = 6 and we get a max volume of 36pi cubic units.
The equation is 76*120/3.
76*120/3
9,120/3
3,040
The car will travel 3,040 yards in 120 seconds at that speed.
Translation , <span>in geometry ,is described as the movement of a function or graph to a certain distance.Or simply the transformation of the image to a certain level without rotating or reflecting.
Hence,
Using the idea of translation I have concluded the movement of </span><span>location (3, 2) to (5, 1) on a chessboard will result:
</span>
2 units to the right and 1 unit down.
1 unit to the right and 2 units up
Answer:3 cups of seeds and 2 tablespoons of maple syrup
-OR-
6 cups of seeds and 4 tablespoons of maple syrup
Step-by-step explanation:
As this is a ratio of 9:6: "for every 9 cups of seeds, there is 6 tablespoons of maple syrup"
The original ratio is 3:2 "for every 3 cups of seeds, there is 2 tablespoons of maple syrup"
Using this ratio, we can infer that 3:2 or 6:4 would be a simpler answer for this problem. If there is doubt, it would be better to use 3:2 as it is the smallest ratio.
