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
#SPJ4
Answer:
Step-by-step explanation:
Last year won the lions 16 games last year and into this year the Lions won 20 games.
as the percentage increase is:
20/16
(20/4) / (16/4)
5/4
<span>
1.25 (125%)</span>
Answer:
Use the distance formula to determine the distance between the two points.
Distance
=
√(x2−x1)^2 + (y2−y1)^2
Substitute the actual values of the points into the distance formula.
√ ( (−6) − 0)^2 +( (−3) − 4)^2
Subtract 0 from −6
√(−6)^2 + ( ( −3 ) −4 )^2
Raise −6 to the power of 2
√36 + ( ( −3 ) −4 )^2
Subtract 4 from −3
√36 + ( −7 )^2
Raise −7 to the power of 2
√ 36 + 49
Add 36 and 49
√85
Answer:
78 mg
Step-by-step explanation:
370 mg - 110 mg = 260 mg (amount decayed in the 8 total years)
260 mg ÷ 8 years = 32.5 mg decayed per year
32.5 × 9 years (years between 2008 and 2017) = 292.5 mg
370 mg - 292.5 mg = 77.5 mg, rounded to 78 mg
