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Firlakuza [10]
3 years ago
14

There are three consecutive integers such that the sum of the two smallest integers is 17 less than three times the largest. wha

t is the smallest integer?
Mathematics
1 answer:
padilas [110]3 years ago
6 0
<span>Let n, n+2, and n+4 represent the three consecutive even integers.</span>
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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

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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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