The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 1.5 feet above the sidewalk?
12 feet
4.5 feet
3 feet
18 feet
Correct Answer : D
We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,

If we let x be the minimum length of the ramp. Then,

Substituting the value of slope into the above equation results in,

Solve for value of x by cross-products

X = 18 Feet
Thus, the minimum length of the ramp needed to provide access to a door that is 1.5 high is 18 feet.
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Related Questions
Correct Answer is D
Explanation
To find the greatest number from the given options, convert the decimal numbers into fractions.
6.98 becomes 698/100
9.2 becomes 92/10
The least common denominator for the denominators of 7, 100 and 10 is 700. Now we can multiply each fraction with 700 as follows:
3/7*700=300
698/100*700=4886
10/7*700=1000
92/10*700=6440
In order from the smallest to largest, we organize the number set as follows:
3/7, 10/7, 6.98, 9.2.
Thus, 9.2 is the greatest of all.
Correct Answer is C
Explanation
To convert millilitres (mL) to litres (L), we use the fact that:
1 L=1000 mL
So, to convert 2,500 mL to litres:
=2.5 L
Thus, the patient needs 2.5 litres of saline.
The correct answer is C. 2.5 L.
Correct Answer is A
Explanation
A. A=w(2w+1)
Explanation
The area of a rectangle is given by the formula:
A=length×width
Given that the length is one more than twice the width, we can express it as:
Length=2w+1
The width is simply w.
Now, substituting these into the area formula:
A=w(2w+1)
Thus, the correct answer is:
A=w(2w+1)
Correct Answer is A
Explanation
Using a calculator to evaluate 15÷27 results in 0.5555555556. To two decimal places, the answer becomes 0.56.
Thus, 0.56 is the decimal equivalent of 15/27.
Correct Answer is D
Explanation
We are asked to find the number of students enrolled in the radiologic program using the information provided on the pie chart.
If we let x represent the number of students enrolled in the radiologic program, we set a proportion equation with number of students on the numerator and percentages on the denominator.
Total percent in the pie chart adds to 100%, which equals 1200 students. Then, 21% will represent

We solve the value of x by cross-multiplying the equation above.

Therefore, 252 students will enroll for a radiologic program.
Correct Answer is A
Explanation
A dependent variable is one that depends on the independent variable. An independent variable is one that when changed result in a change of another variable.
In this problem, if we change the brand of laptop, tax rate, and memory size, the price of the laptop changes. Thus, the cost of the laptop is the dependent variable.
Correct Answer is B
Explanation
A histogram is used to visualize the frequency of a one variable over the other while a line graph is used to compare two variables.
A scatter plot used to show the correlation between two variables.
A pie chart is used to show the proportion of the given information in circle, with each section of a circle representing a given fraction of a whole.
From the given information, a pie chart is an appropriate tool show the frequency of the students choosing their favorite color.
Correct Answer is B
Explanation
The volume V of a rectangular box can be calculated using the formula:
V=length×width×height
Given:
- Length = 8 metres
- Width = 5 metres
- Height = 3 metres
Now, calculate the volume:
V=8 m×5 m×3 m=120 m3
Thus, the volume of the box is 120 cubic metres.
The correct answer is B. 120 m³.
Correct Answer is D
Explanation
Given:
- 2 teaspoons of baking powder for every ½ cup of flour.
- We are using 5 cups of flour.
Step 1: Determine how many teaspoons are needed per cup of flour.
Since the recipe calls for 2 teaspoons for every ½ cup of flour, the number of teaspoons required for 1 full cup of flour would be:
2 teaspoons×2=4 teaspoonspercup.
Step 2: Calculate how many teaspoons are needed for 5 cups of flour.
Now, multiply the number of teaspoons needed for 1 cup of flour by 5:
4 teaspoonspercup×5 cups=20 teaspoons.
Thus, the number of teaspoons of baking powder needed for 5 cups of flour is 20 teaspoons.
Therefore, the correct answer is D. 20 tsp.
Correct Answer is D
Explanation
To find the amount of vanilla in mL, use dimensional analysis of the units of measurements.
Two ways to convert between teaspoon and mL are:


Since we are required to find the amount in mL, we use a cionverstioon that will result in mL. Inspecting the above options, we use the second option and set up an equation in way the unwanted units cancel out and leave the wanted unit we are looking for. Then,

Thus, a recipe of 3 teaspoons equals 14.79 mL.
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