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:
−30a−6
Step-by-step explanation:
Let's simplify step-by-step.
−9a−10−6a+7−9a−10−6a+7
=−9a+−10+−6a+7+−9a+−10+−6a+7
Combine Like Terms:
=−9a+−10+−6a+7+−9a+−10+−6a+7
=(−9a+−6a+−9a+−6a)+(−10+7+−10+7)
=−30a+−6
BRAINLIEST. if you don't mind.
Answer:
angle t is 55 degrees
Step-by-step explanation:
Here's my work:
Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110
110/2=55 (two because those are the two angles associated with the equal sides)
Answer:
Pythagorean’s theorem states that if a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the side lengths of the right triangle
Given that we can plug in
a= 6 , b = 8 , c = 10
We get an equation:
6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100
