The two prisms below are similar. What is the value of x?
2 answers:
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Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.
<h3>How to calculate the perimeter?</h3>In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.
<u>Given the following data:</u>
- Minor base = 10 cm.
- Major base = 13 cm.
From the middle, the diameter of this circle is given by:
D = 1/2 (10 + 13)
D = 11.5 cm.
Now, we can calculate the perimeter:
Perimeter = πD
Perimeter = 3.142 × 11.5
Perimeter = 36.13 cm.
Read more on trapezoid here: brainly.com/question/4758162
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a) We kindly invite to check the image attached below to see a detailed graph of the <em>piecewise</em> function.
b) The <em>piecewise</em> function is continuous.
<h3>How to understand a piecewise function</h3>A <em>piecewise</em> function is a <em>conditional</em> combination of two or more functions, whose expression depends on which value of the domain is the function evaluated at.
a) The <em>piecewise</em> function described in the question is plotted on a graphing tool (i.e. <em>Desmos</em>), whose result is presented in the image attached below.
b) A function is <em>continuous</em> if and only if there is one value from range for every value of domain. The <em>piecewise</em> function is continuous as <em>linear</em> functions are continuous and the two functions of the <em>conditional</em> combination have the same value for x = 30.
To learn more on piecewise functions: brainly.com/question/12561612
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