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3 years ago

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

Mathematics

1 answer:

vivado [14]3 years ago

3 0

Answer:

Volume of the pyramid = 927.72 m² (Approx)

Step-by-step explanation:

Given:

Length of base = 16.6 m

Height of the pyramid = 10.1 m

Find:

Volume of the pyramid = ?

Computation:

Area of the square base = Side²

Area of the square base = (16.6)²

Area of the square base = 275.56 m²

$Volume\ of\ the\ pyramid = \frac{1}{3}(Area\ of\ base)(Height)\\\\Volume\ of\ the\ pyramid = \frac{1}{3}(275.56)(10.1)\\\\Volume\ of\ the\ pyramid = 927.7186$

Volume of the pyramid = 927.72 m² (Approx)

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Explain how to write and solve an equation to find an unknown side length of a rectangle when given the perimeter

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2 years ago

An administrator at a local high school wants to investigate whether there is an association between the grade level of a studen

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Answer:

Step-by-step explanation:

The following is how the p-value should be interpreted:

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3 years ago

Read 2 more answers

Quadratics need help making parabola

timama [110]

Answer:

The equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ , whose real vertex is $(x,y) = (2, -5.333)$ , not $(x,y) = (2, -5)$ .

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

$(x_{1}, y_{1}) = (-2, 0)$ , $(x_{2}, y_{2}) = (6, 0)$ , $(x_{3}, y_{3}) = (0, -4)$

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

$4\cdot a -2\cdot b + c = 0$ (1)

$36\cdot a + 6\cdot b + c = 0$ (2)

$c = -4$ (3)

The solution of this system is: $a = \frac{1}{3}$ , $b = - \frac{4}{3}$ , $c = -4$ . Hence, the equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ . Lastly, we must check if $(x,y) = (2, -5)$ belongs to the function. If we know that $x = 2$ , then the value of $y$ is: