Find the value of x and y.

x = 9.9

y= 11

Step-by-step explanation:

using sin(45)21 = 29.698

3x = 29.698. Divide both sides by 3

x = 9.899. Round to 9.9

In a Right triangle with 45° angles, the legs of the 90° angle are equal. Given 21,

to find the value of y, the equation is

2y -1 = 21. Add 1 to both sides

2y = 22. Divide both sides by 2

y = 11

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.