Answer:
30.7 km
Step-by-step explanation:
The distance between the two fires can be found using the Law of Cosines. For ΔABC in which sides 'a' and 'b' are given, along with angle C, the third side is ...
c = √(a² +b² -2ab·cos(C))
The angle measured between the two fires is ...
180° -(69° -35°) = 146°
and the distance is ...
c = √(11² +21² -2(11)(21)cos(146°)) ≈ √945.015
c ≈ 30.74
The straight-line distance between the two fires is about 30.7 km.
Answer:
one solution; x= -28/10
Step-by-step explanation:
Answer:
sinΘ = 
Step-by-step explanation:
sinΘ = 
The opposite is 24, but we require the hypotenuse h
Using Pythagoras' identity
h² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
h =
= 25
Thus
sinΘ = 
Answer:
The terms are 9, 4, 3b and 7a.
The terms are 9 – 4 and 3b + 7a.
The terms are 9, -4, 3b, and 7a.
Step-by-step explanation: