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No, it does not.
In general, surface area is the sum of the areas of each face of a prism. In a rectangular prism, we have length, width, and height.
The area of the bottom of the prism and the top of the prism is the same, and can be represented as l*w. This means that together, it is 2lw.
The area of the left and right faces of the prism is the same, and can be represented as l*h. This means that together, it is 2lh.
The area of the front and back faces of the prism is the same, and can be represented as w*h. This means that together, it is 2wh.
This gives us the equation
SA = 2lw+2lh+2wh
If we double the length and width, making them each 2l, we then have:
SA = 2(2l*2w) + 2(2l*h) + 2(2w*h)
= 2(4lw) + 4lh + 4wh
= 8lw + 4lh + 4wh
If the surface area had been doubled, we would expect
4lw + 4lh + 4wh
No, it is not doubled.
Answer:
Step-by-step explanation:
The budget is $600.
<u>Samantha spends the following amount:</u>
- 399.95 + 3*7.01 + 34.06 = 455.04
Now, she plans to buy w outfits which cost $75.88 each.
<u>The inequality for this is:</u>
<u>Solving this we get:</u>
- 75.88w ≤ 600 - 455.04
- 75.88w ≤ 144.96
- w ≤ 144.96 / 75.88
- w ≤ 1.91
w = 1 is the only integer solution greater than zero
V(t) = 2t^2 - 3t - 3
for an acceleration a(t),
a(t) = d (v(t)) / d t
a(t) = 4t - 3
at t=2
a(2) = 8 - 3
a(2) = 5 feet/s^2
