<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft.
The correct answer is 75 ft above. T
The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2
To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a).
By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75).
So we conclude that the focus lies 75ft above ground.</span>
Answer:
sssssssss
Step-by-step explanation:
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Answer:
1.80
Step-by-step explanation:
trust me 100% sure
Answer:
60
Step-by-step explanation:
Answer:
x=4.77
Angle 3=98.32 degrees
Angle 6= 81.68 degrees
Step-by-step explanation:
(Assuming these are parallel lines), Angle 3 and angle 5 are equal because they are alternate Angles. Therefore we can write the following equation to solves for x:
16x+22=3x+84 (angle 3=angle5)
Which we can now solve:
16x +22 - 22 - 3x=3x-3x+84-22
13x=62
13x/13=62/13
x=4.77 (2dp)
We can then use this x to calculate angle 3:
16(4.77)+22
76.33+22=98.32 degrees
Finally,
Angle 6 and angle 3 are interior angles, so they add up to 180 degrees.
So to find angle 6,we can just subtract angle 3 from 180:
180-98.32=81.68 degrees.
Hope this helped!
