Find the side length, a. Round to the nearest tenth.

A=29°
b=4
c=10

a=[?]

a = 6.8

Step-by-step explanation:

Apply the Law of Cosines

a² = b² + c² - 2bc*Cos A

A = 29°

b = 4

c = 10

Plug in the values

a² = 4² + 10² - 2*4*10*Cos 29

a² = 116 - 69.9696

a² = 46.0304

a = √46.0304

a ≈ 6.8

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.