F(x) = 5cos(1/2x) - 2
g(x) = 5cos(x) - 2
The period for a cosine function is 2pi/k
In the equation the k is located before the variable.
In g(x) we have 5cos (1x) -2
so the period is 2pi/1 or 2pi. This means the length of one full period of cosine will go from 0 to 2pi.
In f(x) we have 5 cos (1/2 x) - 2
so the period is 2pi/ (1/2) which is the same as 2pi * 2 or 4pi.
This means the period for the function is 4pi and the length of one full period of the cosine graph will go from 0 to 4pi.
The length of f(x) will be longer than that of g(x) .
Answer:
A 161 square feet
Step-by-step explanation:
5×5=25
1/2 of 25 is 12.5(triangular face) ×2=25
5×8 is 40 (base and left face)
8×7 is 56 (right face)
25+40+40+56=161
S=15
Whatever the number of sides of a polygon,
the sum of its exterior angles is always <span>360∘</span>
Further, each pair of exterior angle and interior angle adds up to <span>180∘</span>
Hence in a polygon with s sides (or angles),
the sum of all the interior and exterior angles would be <span><span>180∘</span>×s</span>
and sum of interior angles would be <span><span>180∘</span>×n−<span>360∘</span>=<span>180∘</span><span>(s−2)</span></span>
As sum of angles is <span>2340∘</span>
Hence, <span>180<span>(s−2)</span>=2340</span> or <span>s−2=<span>2340180</span>=13</span>
and <span>s=13+2=15</span> and polygon is a Pentadecagon.
i hope u understand :)
