Answer:
the desired line is y = (1/2)x + 1
Step-by-step explanation:
Write these two points as (0, 1) and (-2, 0).
Now, as we go from (-2, 0) to (0, 1), x increases by 2 and y increases by 1. Thus, the slope, m, of the desired line is m = rise / run = 1 / 2.
Then the desired line is y = (1/2)x + 1 (since b is already given as (0, 1) )
Part a : Net A because when you fold it up it will look like the wanted prism
Part b : AB = 3 in
BC = 5 in
CD = 7.2 in
Part c : area of one triangle = 4*3 = 12 / 2 = 6
6 * 2 = 12 (because there are 2 triangles)
7.2 * 3 = 21.6
7.2 * 4 = 28.8
7.2 * 5 = 36
Add them all up : 12+21.6+28.8+36 = 98.4
So surface area is 98.4 in
I assume that you want to know the temperature at a certain timing.
Well, you know that at 12:00 pm, the temperature was 12 F and that it decreases by a steady rate of 2 F each hour.
This means that at 1:00 pm, the temperature was 12-2 = 10 F
At 2:00 pm, the temperature was 10-2 = 8 F
At 3:00 pm, it was 8-2 = 6 F
.......and so on
You can follow this sequence to the timing you are looking for.
Answer:
68 feet square
Step-by-step explanation:
The rectangle with the maximum area for a given perimeter is a square. The perimeter of a square is 4 times the side length, so the side length of the square area will be ...
(272 ft)/4 = 68 ft
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<em>More formally ...</em>
You can let x represent the length of one side. Then the length of the other side for the given perimeter will be 136 -x, and the area will be the product ...
area = x(136 -x)
The area function is a quadratic with zeros at x=0 and x=136. The vertex (maximum area) will be at the value of x that is on the line of symmetry between these points, at their midpoint: x = (0 +136)/2 = 68. This value of x makes the rectangle a square.
