Factor completely x2+ 9x + 20
1 answer:
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Answer:
10.3
Step-by-step explanation:
The triangle can be solved from one side and two angles by using the angle sum theorem to find the third angle, then using the Law of Sines to find the remaining sides.
The angle at T is ...
180° - 119° -36° = 25°
The law of sines tells us side s will be ...
s/sin(S) = t/sin(T)
s = sin(119°)×5/sin(25°) . . . . multiply by sin(S)
s ≈ 10.34763
s ≈ 10.3
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<em>Additional comment</em>
u/sinU = t/sin(T)
u = sin(36°)×5/sin(25°) ≈ 6.95409
Answer:
The dog's running area is approximately 942 feet².
Step-by-step explanation:
The dog is leashed to a fixed point, the leash has a length of 20 ft, therefore he can rotate around that point at the maximum distance equal to the length of the leash. This pattern forms a circle, but there is an obstruction, which is the corner of the house. This obstruction takes an arc of the original circle, so the running area of the dog is the area of the whole circle minus the area of the arc formed by the corner of the house.
The dog's running area is approximately 942 feet².