Answer:
the m angle ABC is 19x+12
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:
1: 5.83
2: 4.12
3: 3.61
4: 5
5: 6.32
6: 5.10
Step-by-step explanation:
The Pythagorean theorem is a^2 + b^2 = c^2
For all of these you can count the number of blocks over to find two sides of the triangle.
For example: the first one has two sides, one is 3 units, the other is 5. To find the missing angle you square 3 and 5, then add that together. That is equal to 34. 34 = c^2. To get the c by itself, you then take the square root of 34. So the missing side (c) is equal to 5.83.
Part A)
Multiply the amount he earned by 8.5%
8.5% written as a decimal is 0.085.
75,000 x 0.085 = $6,375
Part B)
Subtract the amount of tax from his earnings:
75,000 - 6,375 = $68,625
point, line, plane............................