Answer:
The new volume will be V + 0.06V or 1.06V
Step-by-step explanation:
The volume of the sphere increased by 6% or 0.06V. This means the total volume of the sphere will be V + 0.06V or 1.06V.
"Conjeture" is not one of the three categories of Euclid's geometric principles.
Euclidean geometry begins with Euclid's Elements, which is both a sum of the geometric knowledge of the time and an attempt to formalize this knowledge mathematically.
The notions of straight line, plane, length, area are exposed there and form the support of elementary geometry lessons. The conception of geometry is intimately linked to the vision of the ambient physical space in the classical sense of the term.
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Answer:
18 sides.
Step-by-step explanation:
The interior and exterior angles sum to 180 so:
I + E = 180
also I - E = 140 (given)
So, adding to eliminate E:
2I = 320
I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.
Since the sum of all exterior angles in a polygon = 360 degrees
- the number of sides = 360 / 20 = 18.
The length of the shadow is 14.2 m
Right angle triangle:
Right angle triangle has one of its sides as 90 degrees.
The height of the building is the opposite side of the triangle.
The distance from the top of the building to the tip of the shadow is 35 m is the hypotenuse side.
The length of the shadow is the adjacent side of the triangle.
Therefore,
c² = a² + b²
b² = 35² - 32²
b² = 1225 - 1024
b² = 201
b = √201
b = 14.17
b = 14.2 m
Hence the length of the shadow is 14.2 m.
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