Answer:
Step-by-step explanation:
Okay, let's go through the step-by-step explanation:
1. We are given the recommended riser-to-tread ratio for stairs as 7 inches : 11 inches.
2. The horizontal part of a step is called the tread, and the vertical part is called the riser.
3. We are told that the tread (horizontal part) is 3 inches.
4. To find the value of the riser (x), we can use the given ratio:
Riser / Tread = 7 / 11
5. Substituting the known values, we get:
x / 3 = 7 / 11
6. To solve for x, we can cross-multiply:
11x = 21
7. Dividing both sides by 11, we get:
x = 21 / 11
8. Calculating the value of x, we get:
x ≈ 1.9 inches
9. Rounding the answer to the nearest tenth, the final result is x ≈ 1.9 inches.
The key steps are:
1. Understand the given riser-to-tread ratio.
2. Set up the equation using the ratio and the known tread value.
3. Cross-multiply to solve for the riser (x).
4. Simplify the expression and calculate the value of x.
5. Round the answer to the nearest tenth.
This allows us to find the value of x for stairs built using the recommended riser-to-tread ratio.
