Answer:
C = 57.2
Angle S corresponds to angle C
Both triangles are symmetrical to each other.
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Answer: n= 32
Jakes started with 32
Step-by-step explanation:
Let n represent the initial integer.
Step 1: take the reciprocal.
Reciprocal of n = 1/n
Step 2: double the number obtained in step 1
= 2×1/n = 2/n
Step 3: take the reciprocal of the number obtained in step 2.
Reciprocal of 2/n = n/2
Since he ended up with 16
n/2 = 16
n = 2×16 = 32
Given:
A prism with height 5 cm and equilateral triangular base with side 2 cm.
To find:
The total surface area of the prism.
Solution:
Area of an equilateral triangle is:

Where, a is the side length.
Putting
, we get




The base and top of the prism are congruent so their area must be equal.
The lateral surface area of the prism is:

Where, P is the perimeter of the base and h is the height of the prism.
The lateral surface area of the prism is:



Now, the total surface area is the sum of areas of bases and lateral surface area.




Therefore, the total surface area is 33.46 cm².