If cos(θ) = -8/17 and sin(θ) is negative, then sin(θ) = and tan(θ) = .

sin(θ) = -15/17

tan(θ) = 15/8

Step-by-step explanation:

it is known that cos²(θ) + sin²(θ) = 1

cos(θ) = -8/17

cos²(θ) = 64/289

sin²(θ) = (289-64)/289

sin²(θ) = 225/289

sin(θ) = ±15/17

since sin(θ) is negative, sin(θ) = -15/17

we also know that tan(θ) = sin(θ)/cos(θ)

tan(θ) = (-15/17)/(-8/17) = (-15/17 * 17) / -8 = 15/8

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.