The table below shows amounts earned for dog-walking. How much is earned for a 7-day job?
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<h3><u>Question 7</u></h3><u>Lateral Surface Area</u>
The bases of a triangular prism are the triangles.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).
<u>Total Surface Area</u>
Area of the isosceles triangle:
Total surface area:
<u>Volume</u>
<u>Lateral Surface Area</u>
The bases of a hexagonal prism are the pentagons.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).
<u>Total Surface Area</u>
Area of a pentagon:
where a is the side length.
Therefore:
Total surface area:
<u>Volume</u>
The whole number of minutes that Gianna complete each week as a function of x and y:
Since the above number is greater than 450 minutes, we get the inequality:
Also, "she can complete at most 10 workouts this week" so we deduce the inequality:
Therefore, the system of inequalities is the following:
The above system has many solutions, for example :
Since the above number is greater than 450 minutes, we get the inequality:
Also, "she can complete at most 10 workouts this week" so we deduce the inequality:
Therefore, the system of inequalities is the following:
The above system has many solutions, for example :