Given a triangle with b = 10, c = 11 , and a = 43°, what is the length of a? round to the nearest tenth.
7.2
8.8
7.8
8.4

Length of side a is 7.8

Option C is correct

Step-by-step explanation:

Given b=10, c=11 and A = 43°, we need to find the length of a.

Using the Law of Cosines

a^2 = b^2+c^2-2bccosA

a^2 =(10)^2+(11)^2-2(10)(11)(cos 43°)

a^2 = 100+121-2(110)(0.7313)

a^2=100+121-160.886

a^2=221-160.886

a^2=60.114

a=√60.114

a= 7.75

a≈ 7.8

So, length of side a is 7.8

Option C is correct

water molecules will move from the side of higher water concentration to the side of lower concentration until both solutions are isotonic. at this point, equilibrium is reached. in an isotonic solution, the flow of water in and out of the cell is happening at the same rate.

hope this < 3

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source