(1)
- Law of sines to solve for
![b](https://tex.z-dn.net/?f=b)
:
![\dfrac{\sin72^\circ}{9.5}=\dfrac{\sin b^\circ}{7.1}\implies b\approx45.3](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csin72%5E%5Ccirc%7D%7B9.5%7D%3D%5Cdfrac%7B%5Csin%20b%5E%5Ccirc%7D%7B7.1%7D%5Cimplies%20b%5Capprox45.3)
- The sum of the measures of interior angles of any triangle is
![180^\circ](https://tex.z-dn.net/?f=180%5E%5Ccirc)
. Use this to solve for
![a](https://tex.z-dn.net/?f=a)
:
![a+b+72=180\implies a\approx62.7](https://tex.z-dn.net/?f=a%2Bb%2B72%3D180%5Cimplies%20a%5Capprox62.7)
- Law of cosines to solve for
![c](https://tex.z-dn.net/?f=c)
:
![c^2=7.1^2+9.5^2-2\cdot7.1\cdot9.5\cos a\implies c\approx6.92](https://tex.z-dn.net/?f=c%5E2%3D7.1%5E2%2B9.5%5E2-2%5Ccdot7.1%5Ccdot9.5%5Ccos%20a%5Cimplies%20c%5Capprox6.92)
(2)
- Sum of interior angles:
![31+122+d=180\implies d=27](https://tex.z-dn.net/?f=31%2B122%2Bd%3D180%5Cimplies%20d%3D27)
- Law of sines to solve for
![e](https://tex.z-dn.net/?f=e)
:
![\dfrac{\sin122^\circ}e=\dfrac{\sin31^\circ}{6.4}\implies e\approx10.54](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csin122%5E%5Ccirc%7De%3D%5Cdfrac%7B%5Csin31%5E%5Ccirc%7D%7B6.4%7D%5Cimplies%20e%5Capprox10.54)
(3)
- Sum of interior angles:
![75+37+f=180\implies f=68](https://tex.z-dn.net/?f=75%2B37%2Bf%3D180%5Cimplies%20f%3D68)
- Law of sines to solve for
![g](https://tex.z-dn.net/?f=g)
and
![h](https://tex.z-dn.net/?f=h)
:
![\dfrac{\sin75^\circ}g=\dfrac{\sin f^\circ}{195}\implies g\approx203.15](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csin75%5E%5Ccirc%7Dg%3D%5Cdfrac%7B%5Csin%20f%5E%5Ccirc%7D%7B195%7D%5Cimplies%20g%5Capprox203.15)
![\dfrac{\sin37^\circ}h=\dfrac{\sin f^\circ}{195}\implies h\approx126.57](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csin37%5E%5Ccirc%7Dh%3D%5Cdfrac%7B%5Csin%20f%5E%5Ccirc%7D%7B195%7D%5Cimplies%20h%5Capprox126.57)
Don't forget to provide units for the side lengths solved for above!
50 like both out of 130 total
Divide: 50/130 = 5/13
The answer as a fraction is exactly 5/13
The approximate answer is 0.3846
Because your math teachers is divorced
Answer:
1/2
Step-by-step explanation:
Here you utilize the formula of slope which is m = y2-y1/x2 -x1
(-1,5) (1,6)
(x1, y1) ( x2, y2)
m = ( 6-5)/ (1-(-1))
= 1/(1+1)
= 1/2
Answer:
A=2(wl+hl+hw)
Step-by-step explanation: