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Answer:
8√3 ≈ 13.86 ft
Step-by-step explanation:
The light source is usually placed at the focus, so the focus-vertex distance is p=3 ft. The equation for the parabola with its vertex at the origin is ...
y = 1/(4p)x^2
y = 1/12x^2
The opening for some y-value extends ±x from the axis of symmetry, so is a total of 2x in width.
For y=4, the corresponding value of x is ...
4 = 1/12x^2
48 = x^2
√48 = x = 4√3
Then the width of the searchlight opening is ...
2(4√3 ft) = 8√3 ft ≈ 13.86 ft
Answer:
80pi-60pi
Step-by-step explanation:
To find how much Juan ran, we must find the circumference.
pi *30*2=60*pi (which is how much Juan ran.)
pi*40*2=80*pi (which is how much Miguel ran)
80pi-60pi would be how much farther Miguel ran than Juan.
Answer:
2/3n + 20
Step-by-step explanation:
Answer:
Hello,
the above question requires more information for anyone to be able to answer.
In the abscence of that, the total weight of the two heaviest peaches can be obtained by simply summing the individual weights of the two heaviest peaches.
If for instance there are 13 peaches and the two heaviest peaches weight 5Kg and 5.5 kg respectively, the weight of the two would translate to the following:
Step-by-step explanation:
5 +5.5= 10.5Kg
Cheers!
Hi!
First make the denominators the same.
Add the numerators
Simplify to get your answer
The answer is
Hope this helps! :)