Ms. McCormick keeps a rectangular recycling bin for used paper in her classroom. The area of the bottom of the bin is 400 square
1 answer:
According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.
<h3>What is the volume of a rectangular prism?</h3>It is given by the multiplication of the base area by the height, that is:
In this problem, we have that the measures in square inches and inches, respectively, are given by:
Hence:
The volume of paper in the recycling bin is of 6800 cubic inches.
More can be learned about the volume of a rectangular prism at brainly.com/question/17223528
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Answer:
The equation of the parabola that models the path of the long jumper through the air is ×
Step-by-step explanation:
Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:
×
×
Where:
x - Horizontal distance from the start line, measured in meters.
y - Height of the long jumper, measured in meters.
a,b,c - Polynomial constants, measured in , dimensionless and meters, respectively.
If we know thatand
this system of linear equations is presented below:
The coefficients of the polynomial are, respectively:
The equation of the parabola that models the path of the long jumper through the air is
But we need y measured in centimeters, then, we use the following conversion:
Then, we get that:
Where x and y are measured in meters and centimeters, respectively.
The equation of the parabola that models the path of the long jumper through the air is