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:
-1
Step-by-step explanation:
you mutiply the 3 on both sides and then you subtract the 2 from both sides.
-t=1
then u divide by negative 1 which will make the right side number negative
Answer:

Step-by-step explanation:
<u><em>The question is</em></u>
Which equation should she use?
we have the formula

Solve for k
That means ----> isolate the variable k
Multiply by 2 both sides

Divide by x^2 both sides

Rewrite

Area = 1/2 x base x height
Let the height be x.
Height = x
Base = 2x
Area of triangle = 1/2 x base x heght
Plug base and height into the variables:
(1/2)(2x)(x) = 196
Combine like terms:
x² = 196
Square root both sides:
x = 14
Find Base and height:
Base = x = 14 km
Height = 2x = 2(14) = 28 km
Answer: Height = 28km