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s344n2d4d5 [400]
3 years ago
15

What is the surface area of the triangular prism?

Mathematics
2 answers:
ryzh [129]3 years ago
8 0

Answer:

135 square feet.

Step-by-step explanation:

A triangular prism. The rectangular sides are 8 feet by 2.5 feet, 8 feet by 6 feet, and 8 feet by 6.5 feet. The triangular sides have a base of 2.5 feet and a height of 6 feet.

The prism has two triangular faces and three rectangular faces.

So, the surface area of the prism will be

2(\frac{1}{2} \times 2.5 \times 6) + (8 \times 2.5) + (8 \times 6) + (8 \times 6.5)

= 15 + 20 + 48 + 52

= 135 square feet. (Answer)

Alisiya [41]3 years ago
8 0

Answer:

it is 135

explanation:

there is this glitch, when you do a test of program math and you have to say the answer typed and no options, then put the answer, press the ENTER key, then the screen goes gray and you might see a text written saying "results: success

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Besides using the word "every" before the singular forms of the words above, they can also be changed to their plural forms by adding "s" behind them. For example "morning" becomes "mornings".

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Linda goes water-skiing one sunny afternoon. After skiing for 15 min, she signals to the driver of the boat to take her back to
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60 = a * (-30)^2
a = 1/15
So y = (1/15)x^2


abc)
The derivative of this function is 2x/15. This is the slope of a tangent at that point.
If Linda lets go at some point along the parabola with coordinates (t, t^2 / 15), then she will travel along a line that was TANGENT to the parabola at that point.
Since that line has slope 2t/15, we can determine equation of line using point-slope formula:
y = m(x-x0) + y0
y = 2t/15 * (x - t) + (1/15)t^2
Plug in the x-coordinate "t" that was given for any point.


d)
We are looking for some x-coordinate "t" of a point on the parabola that holds the tangent line that passes through the dock at point (30, 30).
So, use our equation for a general tangent picked at point (t, t^2 / 15):
y = 2t/15 * (x - t) + (1/15)t^2
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30 = 2t/15 * (30 - t) + (1/15)t^2
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The larger solution does in fact work for a tangent that passes through the dock, but it's not important for us because she would have to travel in reverse to get to the dock from that point.
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