Answer:
Option D) 108 degrees
Step-by-step explanation:
We are given the following in the question:
A regular pentagon.
Thus, all the angles of the pentagon are equal.
Angle sum property of pentagon:
- In a pentagon, the sum of all the interior angle of a pentagon is 540 degrees.
Measure of each angle =
![=\dfrac{\text{Measure of angle}}{\text{Number of angle}} = \dfrac{540}{5} = 108^\circ](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5Ctext%7BMeasure%20of%20angle%7D%7D%7B%5Ctext%7BNumber%20of%20angle%7D%7D%20%3D%20%5Cdfrac%7B540%7D%7B5%7D%20%3D%20108%5E%5Ccirc)
Thus, the measure of each angle on the sign is 108 degrees.
Option D) 108 degrees
Answer:
4 , 2, 8, 4 ..............
Given:
In the given triangle,
With respect to y, Perpendicular = 10 cm and Base = 8 cm
To find the value of y.
Formula
By Trigonometric Ratio we get,
![tan\theta = \frac{Perpendicular}{Base}](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%20%5Cfrac%7BPerpendicular%7D%7BBase%7D)
Now,
Putting the values of perpendicular and base we get,
![tan\theta = \frac{10}{8}](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%20%5Cfrac%7B10%7D%7B8%7D)
or, ![\theta = tan^{-1} (\frac{10}{8})](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20tan%5E%7B-1%7D%20%28%5Cfrac%7B10%7D%7B8%7D%29)
or, ![\theta = 51.34 ^\circ](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2051.34%20%5E%5Ccirc)
Rounding off to the nearest tenth, we have;
![\theta = 51.3 ^\circ](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2051.3%20%5E%5Ccirc)
Hence,
The value of y is 51.3°.
Answer:
5.23 < 5.235
Step-by-step explanation:
5.23 < 5.235
we know:
5.235 ≈ 5.24
hence 5.235 is greater than 5.23