In the triangle shown on the right, ðp = 55°, n = 10, and g = 12. find the remaining side and the two angles. round all answers to the nearest tenth. length of side p =

p = 10.3

m∠N = 52.7°

m∠G = 72.3°

Step-by-step explanation:

In ΔPNG

∵ m∠P = 55°

∵ n = 10 and g = 12

By using cos Rule:

∵ p² = n² + g² - 2(n)(g)cosP

∴ p² = 100 + 144 - 2(10)(12)cos(55°) = 106.341655

∴ p = 10.3

By using sin Rule:

10/sin(N) = 12/sin(G) = 10.3/sin55

∴ sinN = 10(sin55)/10.3 = 0.7952932

∴ m∠N = 52.7°

∴ sinG = 12(sin55)/10.3 = 0.95435189

∴ m∠G = 72.3°

huh? im pretty sure it is in 199

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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