How much times can two go into six
2 answers:
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Recall that the volume of a regular prism is given by the area of the base times the height.
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by
Therefore, the volume of the prism is given by
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by
Therefore, the volume of the prism is given by
Answer:
Whereby circle P can be obtained from circle
O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4,
O is similar to
P
Step-by-step explanation:
The given center of the circle O = (-2, 7)
The radius of O, r₁ = 5
The given center of the circle P = (12, -1)
The radius of P, r₂ = 12
The similarity transformation to prove that O and
P are similar are;
a) Move circle O 14 units to the right and 8 units down to the point (12, -1)
b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4
Therefore, the radius of circle O is increased by 2.4
We then obtain O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle
P
∴ Circle P can be obtained from circle
O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4,
O is similar to
P.