Let 0 be an angle such that cot 0 = -4/7 and sec 0 >0.
Find the exact values of cos 0 and csc 0.

Cos 0 = 4/sqrt(65)

Cosec 0 = -sqrt(65)/7

Step-by-step explanation:

Cot 0 = -4/7

Tan 0 = -7/4

1 +Tan²0 = sec²0

1 + 49/16 = 65/16 = sec²0

Sec 0 = sqrt(65)/4

Cos 0 = 1 ÷ sec 0

Cos 0 = 4/sqrt(65) or 4sqrt(65)/65

Cosec 0 = cot 0 × sec 0

= -4/7 × sqrt(65)/4

= -sqrt(65)/7

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:

c. (3,2,6) is the answer.