Answer:
(a) 
or 
(b) 
or 
Step-by-step explanation:
Given
--- North Dakota
--- Cheyenne, Wyoming
Solving (a): Inequality to compare both temperatures
From the given temperatures, we can conclude that:
or 
Because
i.e. 1 is greater than -2
or
i.e. -2 is less than 1
Solving (b): Inequality to compare the absolute values of the temperatures
We have:
The absolute values are:
By comparison:
or 
Because
i.e. 2 is greater than 1
or
i.e. 1 is less than 2
Answer:
x = 4, -2 1/2
Step-by-step explanation:
factors:
(2x + 5) (x - 4)
set each factor equal to zero:
2x + 5 = 0
2x = -5
x = -5/2
x - 4 = 0
x = 4
Answer:
7.96 ft
Step-by-step explanation:
Given;
Length of ramp L = 8 ft
Angle with the horizontal (ground) = 6°
Applying trigonometry;
With the length of ramp as the hypothenuse,
The horizontal distance d as the adjacent to angle 6°
Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;
Cosθ = adjacent/hypothenuse
Substituting the values;
Cos6° = d/8
d = 8cos6°
d = 7.956175162946
d = 7.96 ft
The building is 7.96ft away from the entry point of the ramp.
Answer:
A
Step-by-step explanation:
Those two lines are the same. If you divide the second equation by 2, you will end up with the first equation. A system of linear equations cannot have two of the same line.
