If sin0 = 3/4 and is in the first quadrant, then cos0 = a. 4/5
b. (sqrt 7)/4
c. 1/4
d. (sqrt 21)/3

Step-by-step explanation:

we are given that

we want to figure out Cos

in order to do so we can consider Pythagoras trig indentity given by

given that,sin=¾

thus substitute,

simplify square:

simplify substraction:

square root both sides:

By square root property:

simplify root:

hence, our answer is b

so

p=3

h=4

b=

b=

Now

cosθ=

So

b. is a required answer.

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.

24 units

step-by-step explanation: