what is the theorem states that if two inscribed angles of a circle intercept the same arc, then the angles are congruent?
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Considering the vertex of the quadratic function, it is found that:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
<h3>What is the vertex of a quadratic equation?</h3>A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, the function is given by:
y = 0.75x² - 13.5x + 57.75.
Which means that the coefficients are a = 0.75 > 0, b = -13.5, c = 57.75.
Thus, the minimum value is given by:
Thus:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
The number of trucks needed is an illustration of rates
The number of trucks needed is 42
<h3>How to determine the number of trucks</h3>The size of the backfill is given as: 243 CY
A truck can load up to 162 CF
So, the number of trucks needed is calculated as:
Convert CY to CF
Solve
Approximate
Hence, 41 trucks are needed
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