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(a)
To find: The length of the arc that is formed by the outer edge of the step.
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 46E
The value of the arc length is
Explanation of Solution
Given:
The spiral staircase has 15 steps, each step is a sector of the radius of 42 inches and the central angle is of
Calculation:
Consider the formula to determine the arc length is,
Then,
(b)
To find: The angle through which the person is rotated by climbing the stairs.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 46E
The person is rotated by
Explanation of Solution
Consider the angle of rotation includes 16th step.
Then, the angle through which the person is rotated is obtained as,
(c)
To find: The area of the square inches of carpeting that is needed to cover the 15 steps.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 46E
The area of the carpeting is
Explanation of Solution
Consider the area of the 15 sectors is obtained as,
Chapter 9 Solutions
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
- ?arrow_forwardSolve the equation. Write the smaller answer first. 2 (x-6)² = 36 x = Α x = Previous Page Next Pagearrow_forwardWrite a quadratic equation in factored form that has solutions of x = 2 and x = = -3/5 ○ a) (x-2)(5x + 3) = 0 ○ b) (x + 2)(3x-5) = 0 O c) (x + 2)(5x -3) = 0 ○ d) (x-2)(3x + 5) = 0arrow_forward
- A vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 690 square feet. Find the width of the walkway (x) if the garden measures 14 feet wide by 18 feet long. Write answer to 2 decimal places. (Write the number without units). Hint: add 2x to each of the garden dimensions of 14 x 18 feet to get the total area for the length multiplied by width.arrow_forwardSolve x-1 x+2 = 12 3 4 Your Answer: Answerarrow_forwardFind the solutions to the following equation 21x²+5x=6 ○ a) -3/7, 3/2 ☐ b) -2/3, 3/7 ○ c) -7/3, 3/2 ○ d) -2/3, 7/3arrow_forward
- Listen Solve the quadratic equation. Write the one solution, do not write x =. 2 x²+6x+9= 0 বarrow_forwardSolve the rational equation 14 1 + x-6 x x-7 x-7 ○ a) x = 1, x = 8 ○ b) x = 1 ○ c) x = 7 ○ d) x = 1, x = 7arrow_forwardSolve the absolute inequality | x + 5 > 3 ○ a) (-∞, -8] U[-2, ∞0) ☐ b) (-8, -2) c) (-2, ∞0) ○ d) (-∞, - 8) U(-2, ∞0)arrow_forward
- 1) Listen Describe the error in the problem X 3 X x 3 - 2 = 25x = 0 25x 25 x = ±5arrow_forwardA falling object travels a distance given by the formula d = 6t + 7t² where d is in feet and t is the time in seconds. How many seconds will it take for the object to travel 115 feet? Round answer to 2 decimal places. (Write the number, not the units). Your Answer:arrow_forwardListen Solve the quadratic equation. Write the smaller answer first. 2 Xx - 5x = 24 x = Α x =arrow_forward
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