I believe the temperature at 11 A.M is 21 degrees
Answer:
185/9
Step-by-step explanation:
![20\frac{5}{9} \\\\20+\frac{5}{9}\\\\\frac{20*9}{9}+\frac{5}{9}\\\\\frac{180}{9}+\frac{5}{9}\\\\\frac{180+5}{9}\\\\\frac{185}{9}](https://tex.z-dn.net/?f=20%5Cfrac%7B5%7D%7B9%7D%20%5C%5C%5C%5C20%2B%5Cfrac%7B5%7D%7B9%7D%5C%5C%5C%5C%5Cfrac%7B20%2A9%7D%7B9%7D%2B%5Cfrac%7B5%7D%7B9%7D%5C%5C%5C%5C%5Cfrac%7B180%7D%7B9%7D%2B%5Cfrac%7B5%7D%7B9%7D%5C%5C%5C%5C%5Cfrac%7B180%2B5%7D%7B9%7D%5C%5C%5C%5C%5Cfrac%7B185%7D%7B9%7D)
Answer:
41 degrees
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
Applying the law of cosines
![a^2=b^2+c^2-2(b)(c)cos(A)](https://tex.z-dn.net/?f=a%5E2%3Db%5E2%2Bc%5E2-2%28b%29%28c%29cos%28A%29)
we have
![a=20\ ft\\b=30\ ft\\c=25\ ft](https://tex.z-dn.net/?f=a%3D20%5C%20ft%5C%5Cb%3D30%5C%20ft%5C%5Cc%3D25%5C%20ft)
A is the measure of the angle formed from the line from each lamppost to Bob
substitute
![20^2=30^2+25^2-2(30)(25)cos(A)](https://tex.z-dn.net/?f=20%5E2%3D30%5E2%2B25%5E2-2%2830%29%2825%29cos%28A%29)
![400=900+625-(1,500)cos(A)](https://tex.z-dn.net/?f=400%3D900%2B625-%281%2C500%29cos%28A%29)
![400=1,525-(1,500)cos(A)](https://tex.z-dn.net/?f=400%3D1%2C525-%281%2C500%29cos%28A%29)
![(1,500)cos(A)=1,525-400](https://tex.z-dn.net/?f=%281%2C500%29cos%28A%29%3D1%2C525-400)
![(1,500)cos(A)=1,125](https://tex.z-dn.net/?f=%281%2C500%29cos%28A%29%3D1%2C125)
![cos(A)=\frac{1,125}{1,500}](https://tex.z-dn.net/?f=cos%28A%29%3D%5Cfrac%7B1%2C125%7D%7B1%2C500%7D)
![A=cos^{-1}(\frac{1,125}{1,500})=41^o](https://tex.z-dn.net/?f=A%3Dcos%5E%7B-1%7D%28%5Cfrac%7B1%2C125%7D%7B1%2C500%7D%29%3D41%5Eo)
Answer:
No it does not equal the same
Step-by-step explanation:
5^9*6^7= 5.4675*10^11
Steps:
1. Change 1/11 to 2/22 by multiplying by 2
2. 9/22 + 2/22
3. 11/22
Then, to simplify it you divide by 11
4. Your answer is
1/2