Please see the attachment for the question.

sin ∅ = -18/√405 cos ∅ = -9/√405 sec ∅= - √405/9 csc ∅ = - √405/18 tan ∅ = - 18/9

Step-by-step explanation:

cot ∅ = -9/18

cot ∅ = 1/tan ∅

tan ∅= 1/cot ∅ = 1/(-9/18) = - 18/9

tan ∅ = opposite/adjacent

to get hypotenus

hypotenus² = opposite² + adjacent²

hypotenus² = -9² + 18² = 81 + 324 = 405

hypotenus = √405

sin ∅ = opposite/hypotenus = - 18/√405

cos ∅ = adjacent/ hypotenus = -9/√405

sec ∅ = 1/cos ∅ = 1/-9/√405 = -√405/9

csc ∅=1/sin ∅ = 1/( -18/√405) = -√405/18

sin ∅ = -18/√405 cos ∅ = -9/√405 sec ∅= - √405/9 csc ∅ = - √405/18 tan ∅ = - 18/9

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2