Respuesta :
Answer:
in simplified version it would be x ≤-4
Step-by-step explanation:
multiply each term in x ≤-4 by -1
Angelica constructs a regular tetrahedron
The surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]
What is equilateral triangle?
"It is a triangle that has all its sides equal in length and all angles are 60° in measure."
What are congruent triangles?
"Two or more triangles are congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure."
What is a regular tetrahedron?
"It is a triangular pyramid having congruent equilateral triangles for each of its faces."
Formula of area of regular tetrahedron:
[tex]A=\sqrt{3}\times a^{2}[/tex], where 'a' is the edge length of tetrahedron
For given question,
Angelica used four congruent equilateral triangles.
She constructs a regular tetrahedron using four congruent equilateral triangles.
The length of each edge of tetrahedron = side length of equilateral triangle
So, each edge of tetrahedron measures 14 inches.
Using the formula of area of the regular tetrahedron,
[tex]A=\sqrt{3}\times a^{2} \\\\A=\sqrt{3}\times (14)^{2}\\\\A=1.73\times 196\\\\A=339.08~~in^2[/tex]
Therefore, the surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]
Learn more about regular tetrahedron here:
https://brainly.com/question/17132878
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