Find the volume of a pyramid with a square base, where the area of the base is

Mathematics

1 answer:

natima [27]3 years ago

7 0

Answer:

303.3 ft

Step-by-step explanation:

16.3ft²÷2=8.15

then V = LWH/3

(Length, width and height over 3)

then round up

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ollegr [7]

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3 0

4 years ago

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Consider the equations y = √x and y = x^2 - 1

lord [1]

<h3>Answer:</h3>

(x, y) ≈ (1.49021612010, 1.22074408461)

<h3>Explanation:</h3>

This is best solved graphically or by some other machine method. The approximate solution (x=1.49, y=1.221) can be iterated by any of several approaches to refine the values to the ones given above. The values above were obtained using Newton's method iteration.

_____

Setting the y-values equal and squaring both sides of the equation gives ...

... √x = x² -1

... x = (x² -1)² = x⁴ -2x² +1 . . . . . square both sides

... x⁴ -2x² -x +1 = 0 . . . . . polynomial equation in standard form.

By Descarte's rule of signs, we know there are two positive real roots to this equation. From the graph, we know the other two roots are complex. The second positive real root is extraneous, corresponding to the negative branch of the square root function.