Solve for a side in right triangles

x = 4.56

Step-by-step explanation:

Angle A = 20 degrees

x = BC

sin(20) = x/5

multiply 5 on both sides

5sin(20) = x

x = 4.56

1.71

Step-by-step explanation:

Cosine = adjacent/hypotenuse

cos 70 = x/5

cos 70 = 0.3420201433

0.3420201433(5) = 1.710100716

x=1.710100716

x=1.71

step-by-step explanation:

(3rd option) - c

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: