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3 years ago

13

A polygon with 3 sides is stacked to form a prism. Which is the base shape of this prism? 1. square 2. trapezoid 3. triangle 4.

non-square rectangle

1 answer:

PilotLPTM [1.2K]3 years ago

7 0

Triangular prism. It has three sides so a triangle

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A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$

So, h = 40.2 inches

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2 years ago

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An exponential function has a graph that is a smooth curve; it either increases at an ever increasing rate or decreases at an ever increasing rate. The only graph that fits these characteristics is the first one.

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2 years ago

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Vlad1618 [11]

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1 year ago

Which is the rate of change for the interval between 3 and 6 on the x-axis?

Anna71 [15]

Answer:

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Step-by-step explanation:

To find this, first identify the ordered pairs at those two points. They would be (3, -2) and (6, 4). Then use the slope formula with those two points to find the rate of change.

m(slope) = (y2 - y1)/(x2 - x1)

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