Answer:
The angle is
.
Step-by-step explanation:
The building is 35 feet tall, and the rope is 400 feet long.Applying the trigonometric function, we have;
Sin θ = 
The height of the building represents the opposite side, while the length of the rope represents the hypotenuse. Thus;
Sin θ = 
Sin θ = 0.0875
θ =
0.0875
= 
The angle made by the rope with respect to the ground is approximately
.
100*2.2=220
80*2=176
220+176=396
So the two trains will take 2.2 hours so that they are 396 miles apart.
Answer:
B. Step 3 is incorrect, it should be x = 10/8
Step-by-step explanation:
Answer:
HJ
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
so
The slope of the line that is parallel to a line that has a slope of 3 is equal to 3
Verify the slope of the blue and red line , because their slopes are positive
<em>Blue line</em>
we have
C(-3,0),D(3,2)
The slope m is equal to
m=(2-0)/(3+3)
m=2/6
m=1/3
<em>Red line</em>
we have
H(-1,-4),J(1,2)
The slope m is equal to
m=(2+4)/(1+1)
m=6/2
m=3
therefore
The answer is the red line HJ
We are given with the following vertices:
A (0,0)
B (-1,1)
C(6,1)
D (2.0)
Next is to plot the vertices in the Cartesian plane so that we can identify the figure. See attached image.
The identified shape is a "Parallelogram".