I agree with with the florist because when you divide 207 by 10 you will get 20.7. This means that the florist could make 20 bouquets but seven flowers would be left out.
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Since the polyhedron is about 78.5 m², the radius of the sphere is 2.5 m
Since the sum of the faces of the polyhefron equals the surface area of the sphere, we find its surface area.
<h3>What is the surface area of sphere?</h3>
The surface area of sphere is given by A = 4πr² where r = radius of sphere
<h3>Radius of the sphere</h3>
Making r subject of the formula, we have
r = √(A/4π)
Given that he sum of all the faces of the polyhedron is about 78.5 square meters, this is equal to the surface area of the sphere.
So, A = 78.5 m²
Substituting this into the equation for r, we have
r = √(A/4π)
r = √(78.5 m²/4π)
r = √(19.625 m²/π)
= √(6.246 m²)
= 2.499 m
≅ 2.5 m
So, the radius of the sphere is 2.5 m
Learn more about radius of sphere here:
brainly.com/question/13458041
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The value of the variable would be 82, as the inside angles of a triangle add up to 180