Answer:
Step-by-step explanation:
The scenario is represented in the attached photo. Triangle ABC is formed. AB represents her distance from her base camp. We would determine BC by applying the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b. It becomes
AB² = AC² + BC² - 2(AC × BC)CosC
AB² = 42² + 28² - 2(42 × 28)Cos58
AB² = 1764 + 784 - 2(1176Cos58)
AB² = 2548 - 1246.37 = 1301.63
AB = √1301.63
AB = 36.08 km
To find the bearing, we would determine angle B by applying sine rule
AB/SinC = AC/SinB
36.08/Sin58 = 42/SinB
Cross multiplying, it becomes
36.08SinB = 42Sin58
SinB = 42Sin58/36.08 = 0.987
B = Sin^-1(0.987)
B = 81°
Therefore, her bearing from the base camp is
360 - 81 = 279°
Answer:
r = 1
Step-by-step explanation:
In this question, we have to solve for the vallue of "r". We will use the distributive property shown below to ease our process.
Distributive Property:
a(b+c) = ab + ac
Now, lets solve this:

As we have seen the value of r is "1"
Answer:
10
Step-by-step explanation:
To find the area of a parallelogram you need to use the expression A = bh
When you plug that in it will be 120 = 12b
After this, you need to solve (10)
Answer:
the sum is 360 degrees, which means
360 = 124 + 124 + 2x + 2x
360 = 248 + 4x
-4x = 248 - 360
-4x = -112
x = 28
Check:
124 + 124 + 2(28) + 2(28) =
360
Your answer is x = 28
let me know if you have any questions <3