Find the value of x in the given right triangle

10.6

Step-by-step explanation:

sin theta = opposite side/ hypotenuse

sin 62 = x/12

Multiply each side by 12

12 sin 62 =x

10.59537111 =x

Rounding to the nearest tenth

10.6 =x

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.

45

step-by-step explanation: