If cos theta 4/5 and theta lies in quadrant 2, what is the value of tan theta?
1)3/4 2)4/3 3)-3/4 4)-4/3

The answer to your question is the third choice -3/4

Step-by-step explanation:

Data

cos Ф = 4/5

second quadrant

Process

1.- In the second quadrant cosФ is negative.

2.- cosФ relates the adjacent side and the hypotenuse

               cos Ф = adjacent side / hypotenuse

Then,         Adjacent side = 4      hypotenuse = 5

3.- Calculate the Opposite side using the Pythagorean theorem

                c² = a² + b²

                5² = 4² + b²                    

               25 = 16 + b²

                b² = 25 - 16

                b² = 9

                b = 3

Opposite side = 9

4.- The tangent relates the Opposite side and the Adjacent side

              tan Ф = Opposite side/Adjacent side

              tan Ф = 3/4

but it is negative in the second quadrant

              tan Ф = -3/4

Step-by-step explanation:

since theta is in second quadrant tan value is negative

COS is 4/5 (adjacent/hypotenuese)

(adj)²+(opposite)²=(hypo)²

4²+(opposite)²=5²

opposite side=√9=3

tan thet=3/4

but theta is in second quadrant

hence

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.