Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in one variable will cause a corresponding increase in the other variable.
If two variables are inversely proportional, it means that an increase in one variable will cause a corresponding decrease in the other variable.
The variable z is directly proportional to x, and inversely proportional to y. If we introduce a constant k, the equation would be
z = kx/y
When x is 14 and y is 10, z has the value 26.6. It means that
26.6 = 14k/10
Cross multiplying, it becomes
26.6 × 10 = 14k
266 = 14k
k = 266/14
k = 19
The equation becomes
z = 19x/y
When x = 24, and y = 15, the value of z would be
z = 19 × 24/15
z = 30.4
Step-by-step explanation:
DEFINITION: Besting: the clockwise totation (0° to 360°) from North to any line.
A) Calculate the bearings of D from A:
bearings of D from A =x
looking the picture:
x=48°+55°+180°
x+103°+180°
x=283°
B)Calculate the bearings of A from C:
bearings of A from C =y
180°+55°=y
y=235°
C) Calculate the distance between A and B:
The angle in B is 74° (Because 55°+51°+74°=180°)
Using the Law of sines:

D)Calculate the distance between D and C:
Using the Law of cossines:

E) A Helicopter is hovering at A at a height of 2.5Km, find angle of elevation of helicopter from C:
The triangle HBA is rectangle

α=7,49°
D = 1/2 * (-16). That is your answer
The equestion is
2x^2-5x-12=0
we can either try to factor, or use quadratic formula
trial and errot
(x-4)(2x+3)=0
set to zero
x-4=0
x=4
2x+3=0
2x=-3
x=-3/2
x=-3/2 or 4