Answer:
Step-by-step explanation:
Information provided
The eastern balloon makes an elevation angle of 
and is positioned at a height of 461 m.
The western balloon creates an elevation angle of 
and is positioned at a height of 296 m.
Considering that Erica is 1.6 m tall, the effective height of the Red balloon becomes 459.4 m,
while the effective height of the Blue balloon ends up at 294.4 m.
Utilizing trigonometric principles,
Now calculating the distance separating the two Balloons,
Answer:
Step-by-step explanation:
The initial scenario is a specific case of the subsequent one, so we will address the second case first.
Consider 
. Through the utilization of derivatives and trigonometric function properties, it is determined that
The equation is represented as 
. It's important to note that since 
it leads to the equation
,
which signifies that 
. Consequently, 
It's notable that in this instance, the value of k is independent of A and B. Thus, it applies universally to any values of A and B. The first scenario is included since it corresponds to A=0 and B=1.
Sample Answer: No, Ingrid's statement is incorrect. In this situation, the starting point is at 170 feet, which denotes the y-intercept. The reduction of 4 feet per year symbolizes the rate of change, or slope. In the slope-intercept equation format, y = mx + b, with 'm' denoting the slope and 'b' signifying the y-intercept, the accurate equation would be y = −4x + 170.
Complete Question
Angela has constructed a wedge-shaped pillow for her TV watching needs. It contains 0.35 m³ of fluffy material. The pillow's base area measures 0.5m², and its height stands at 1m.
What is the length of the pillow?
Provide an exact answer (no rounding).
Answer:
1.4m
Step-by-step explanation:
A wedge can be defined as a Triangular prism. Thus,
The volume formula for a wedge (Triangular prism) is given by: 1/2 × B × H × L
b = 0.5m
h = 1 m
l =??
Volume of the wedge = 0.35 m³
0.35 = 1/2 × 0.5 × 1 × L
0.35 = 0.25 × L
Solving for L, we get: L = 0.35/0.25
L = 1.4m
Zx = 5g(2x - c) Apply the Distributive Property
zx = 10gx - 5cg Subtract 10gx from each side
zx - 10gx = -5cg Factor x out
x (z - 10g) = -5cg Divide by (z - 10g)
x = 
