Answer:
sec Θ = 
Step-by-step explanation:
Using the trigonometric identity
sec²Θ = tan²Θ + 1
Since 270° < Θ < 360° ← that is fourth quadrant, then
sec Θ > 0, thus
sec²Θ = (- 
)² + 1 = 
+ 1 = 
, then
sec Θ = 
=
Answer: 27.69⁰
Step-by-step explanation:
Formula for finding the internal angle of a regular polygon is
( 2n - 4 )right angle triangle or
( 2n - 4 )90°, it can also be broken down by factorizing the expression since 2 is common,
( n - 2 )180 or supplementary
Now to find the value of n which correspond to the number of sides the polygon has, we equate the formula to the angle sum of the polygon.
( n - 2 ) × 180° = 1980°
open the bracket
180n° - 360° = 1980°
180n° = 1980° + 360°
= 2340
To find n, divide by 180 which is the coefficient of n
n = ²³⁴⁰/₁₈₀
= 13
The polygon has 13, sides
To find the measure of each angle,
Recall, the sum total of external angle = 360⁰
Therefore, to find the value of each of the angles, we divide 360 by n which is 13
³⁶⁰/n
= ³⁶⁰/₁₃
= 27.69⁰
125 is the correct answer but you answered yourself?
Answer:
Yes the ladder is safe because 59.25 degrees < 75 degrees
Step-by-step explanation:
In the below photos I have included a screenshot of the equation I used, which I got from another user, and my work with an unfinished diagram and completed equations to the side
Answer:
4th is correct answer. 1, 2, 3 not correct you can check the exponents properties
