The number of feet in the length of the handrail is 17.3 ft.
The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle
The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft turned through 270°= (3/4) of a whole revolution
(3/4) (2pi) (3) = (9/2)pi ft = 4.5 pi ft
The side of the rectangle will be the rise of the staircase = 10ft
And the diagonal of the rectangle will be the length of the handrail
We can use the Pythagorean Theorem to solve this
Handrail length = √ [ (4.5 pi)^2 + 10^2 ] ≈ 17.3 ft
Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Learn more about the Pythagorean theorem here: brainly.com/question/343682
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Answer:
this is hard what grade is this for
Step-by-step explanation:
Amount saved:50I60I70l80l AND ON......
......weeks......:0..I1...l2..l3..l ..........AND ON
amount saved =x
weeks=y
after every y+10=x
Answer:
D=(3x-2)
Step-by-step explanation:
Area=length×width =3x²+7x-6
thus a=3 b=7 c=-6
W=(x+3)
since c is -6 it has to be the product of 3(from W)=-2
since a=3 multiply by x (from W) 3×x=3x
=3x-2
check if its correct.
3x-2×x+3
x(3x-2)+3(3x-2)
3x²-2x+9x-6
3x²+7x-6 thus its true
8 3/4 + 9 5/9 Add 8 and 9
17 + 3*9/4*9 + 5*4/9*4 Find common denominator
17 + 27/36 + 20/36 Add
17 + 47/36 Convert into mixed fraction
17 + 1 11/36 Simplify mixed fraction
18 11/36. Answer
If you need the decimal form, it is 18.31. But other than that, the answer is 18 11/36.