To now the difference you just have to subtract and will give you 1.68
Answer:
Length of the side opposite to angle
is 31.49
Step-by-step explanation:
Included angle can be defined as the angle in between two sides of the triangle.
So angle
is in between sides 16 and 21.
Refer to the attachment for triangle diagram.
To find the length of opposite side, use cosine rule as follows
![a^{2}=b^{2}+c^{2}-2\:b\:c\cos\left(A\right)](https://tex.z-dn.net/?f=a%5E%7B2%7D%3Db%5E%7B2%7D%2Bc%5E%7B2%7D-2%5C%3Ab%5C%3Ac%5Ccos%5Cleft%28A%5Cright%29)
From the diagram, ![b = 21,c = 16,\angle A=116^{\circ}](https://tex.z-dn.net/?f=b%20%3D%2021%2Cc%20%3D%2016%2C%5Cangle%20A%3D116%5E%7B%5Ccirc%7D)
Substituting the values in the formula,
![a^{2}=\left(21\right)^{2}+\left(16\right)^{2}-2\left(21\right)\left(16\right)\cos\left(116\right)](https://tex.z-dn.net/?f=a%5E%7B2%7D%3D%5Cleft%2821%5Cright%29%5E%7B2%7D%2B%5Cleft%2816%5Cright%29%5E%7B2%7D-2%5Cleft%2821%5Cright%29%5Cleft%2816%5Cright%29%5Ccos%5Cleft%28116%5Cright%29)
Simplifying,
![a^{2}=441+256-225792\left(-0.44\right)](https://tex.z-dn.net/?f=a%5E%7B2%7D%3D441%2B256-225792%5Cleft%28-0.44%5Cright%29)
![a^{2}=991.59](https://tex.z-dn.net/?f=a%5E%7B2%7D%3D991.59)
Taking square root on both sides,
![\sqrt{a^{2}}=\sqrt{991.59}](https://tex.z-dn.net/?f=%5Csqrt%7Ba%5E%7B2%7D%7D%3D%5Csqrt%7B991.59%7D)
![a=31.49](https://tex.z-dn.net/?f=a%3D31.49)
Therefore length of third side is 31.49
Both of the Students are correct, where the units are the same in the beginning and at the end. If you divide 20 feet by 4, you get 5 feet or 60 inches. If you convert 20 feet to inches, you get 240 inches. When you divide 240 by 4, you get 60 inches. Therefore, they both are correct.
Answer:
5
Step-by-step explanation:
g(x)=3x+2
g(x)÷x=3x÷x+2
g=3+2
g=5
f(x)=4x-3
f(x)÷x=4x÷x-3
f=4-3
f=1
3x+2÷g=4x-3÷f
2÷g=x-3÷f
5÷g=x÷f
5÷5=x÷1
1=x
1×(5×1)
5