Answer:
arcsin0.616
Step-by-step explanation:
arcsino.616
We need to use Law of sine.
sin A/a = sin C/c
sin A/|CB| = sin C/|AB|
sin A/14 = sin(118⁰)/ 20
sin A = (14*sin(118⁰))/ 20
A=arcsin((14*sin(118⁰))/ 20) ≈ 38⁰
Answer:
![105.84\ cm^2](https://tex.z-dn.net/?f=105.84%5C%20cm%5E2)
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
we have
----> the radius is half the diameter
substitute
![A=\pi (10.6)^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20%2810.6%29%5E%7B2%7D)
![A=112.36\pi\ cm^2](https://tex.z-dn.net/?f=A%3D112.36%5Cpi%5C%20cm%5E2)
step 2
Find the area of a sector
Remember that
The area of the circle subtends a central angle of 360 degrees
so
using proportion
Find out the area of a sector with a central angle of 108 degrees
![\frac{112.36\pi}{360^o}=\frac{x}{108^o}\\\\x=112.36\pi(108)/360\\\\x=33.708\pi\ cm^2](https://tex.z-dn.net/?f=%5Cfrac%7B112.36%5Cpi%7D%7B360%5Eo%7D%3D%5Cfrac%7Bx%7D%7B108%5Eo%7D%5C%5C%5C%5Cx%3D112.36%5Cpi%28108%29%2F360%5C%5C%5C%5Cx%3D33.708%5Cpi%5C%20cm%5E2)
assume
![\pi=3.14](https://tex.z-dn.net/?f=%5Cpi%3D3.14)
substitute
![33.708(3.14)=105.84\ cm^2](https://tex.z-dn.net/?f=33.708%283.14%29%3D105.84%5C%20cm%5E2)
Population of England in 2003 = 383 * 130,281 = 49,897,623
In 2008 this is 0.84 * 61,000,000 = 51,240,000
Increase = 51,240,000 - 49,897,623 = 1,342,377
Answer is 1,300,000 to 2 significant figures.
you will need 9 and 3/4 for the 13 pairs of butterfly wings. if you were doing that, the total price would be $78. if you needed to have a whole number for yards, you would round up to 10 and the total price would be $80