Answer:
Step-by-step explanation:
it can be simplified to
. if you multiply each side by the denominator, it becomes
since
and cotan is the reciprocal of that. Because
so multiplying each side gives
, and
is equal to 1.
The height of the green pyramid constructed by Natalie while playing with magnetic building tiles is 26.25 cm.
<h3>
Volume of the orange pyramid</h3>
The volume of the orange pyramid is calculated as follows;
V = ¹/₃Ah
where;
- A is the base area of the pyramid
- h is the height of the pyramid
V = ¹/₃ x (7²) x 5
V = ¹/₃ x (245 cm³)
<h3>
Volume of the green pyramid</h3>
Voume = 21 x [¹/₃ x (245 cm³)]
Volume = 1,715 cm³
<h3>Height of the green pyramid</h3>
V = ¹/₃Ah
3V = Ah
h = 3V/A
h = (3 x 1715) / (14²)
h = 26.25 cm
Learn more about area of pyramid here: brainly.com/question/22744289
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Answer:
option no (C) is correct
Step-by-step explanation: