Si sen α = 9/41 , el valor de P= cos α. Cotg α Ayúdenme

P= cos  ( a ) =   40 /41

Step-by-step explanation:

your question as translated is  as

If sin α = 9/41, the value of P = cos α

As sin (a) = cos (90-a)

also sin (a) = opposite / hypotenuse

and also

Adjacent =  

 =40

adjacent = 40

we know Cos (a) = adj/hyp

so cos(a) = 40/41 which is equal to also P.

b.an increase in a causes b to decrease

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.