Answer:
![c = 14.9cm](https://tex.z-dn.net/?f=c%20%3D%2014.9cm)
Step-by-step explanation:
Given
![b = 10cm](https://tex.z-dn.net/?f=b%20%3D%2010cm)
![B = 12^{\circ}](https://tex.z-dn.net/?f=B%20%3D%2012%5E%7B%5Ccirc%7D)
![A = 150^{\circ}](https://tex.z-dn.net/?f=A%20%3D%20150%5E%7B%5Ccirc%7D)
Required
Determine the length of c
First, we calculate C (the third angle of the triangle).
![C = 180 - A - B](https://tex.z-dn.net/?f=C%20%3D%20180%20-%20A%20-%20B)
![C = 180 - 150 - 12](https://tex.z-dn.net/?f=C%20%3D%20180%20-%20150%20-%2012)
![C = 18^{\circ}](https://tex.z-dn.net/?f=C%20%3D%2018%5E%7B%5Ccirc%7D)
Using Sine's law, we make use of:
![\frac{sin\ B}{b} = \frac{sin C}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%5C%20B%7D%7Bb%7D%20%3D%20%5Cfrac%7Bsin%20C%7D%7Bc%7D)
By substituting values, we have:
![\frac{sin\ 12}{10} = \frac{sin 18}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%5C%2012%7D%7B10%7D%20%3D%20%5Cfrac%7Bsin%2018%7D%7Bc%7D)
Cross multiply
![c* sin\ 12 = 10 * sin\ 18](https://tex.z-dn.net/?f=c%2A%20sin%5C%2012%20%3D%2010%20%2A%20sin%5C%2018)
Make c the subject
![c = \frac{10 * sin\ 18}{sin\ 12}](https://tex.z-dn.net/?f=c%20%3D%20%5Cfrac%7B10%20%2A%20sin%5C%2018%7D%7Bsin%5C%2012%7D)
![c = \frac{10 * 0.3090}{0.2079}](https://tex.z-dn.net/?f=c%20%3D%20%5Cfrac%7B10%20%2A%200.3090%7D%7B0.2079%7D)
approximated
Given, Segment Addition Postulate and Subtraction Property of Equality
The area of a circle is measure by
A=pi(r)^2
So we would do
Area= pi(4)^
ANSWER
Area=16pi
Area is about=50.24 if using 3.14 as pi
Answer:
9.4395
Step-by-step explanation:
5% of 8.99= 0.4495
cost of lip gloss8.99
$8.99+$0.4495=$9.4395
Answer:
Step-by-step explanation:
- Let the smaller angle be x
- Then the other angle is 5x
<u>Sum of acute angles equals to 90°</u>
- x + 5x = 90°
- 6x = 90°
- x = 90°/6
- x = 15°
The smallest angle is 15°