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?

A. 12 feet

B. 4.5 feet

C. 3 feet

D. 18 feet

Answer Explanation:

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.

Therefore, the Correct Answer is D.

Q #1: A circle has an area of 169 π in2. Which of the following is the circumference of the circle in terms of pi ( )?

A. 13 π in

B. 26 π in

C. 7.5 π in

D. 20 π in

Answer Explanation

We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then

Substituting 169π in place of area

Dividing both sides by pi and taking square root on both sides yields

The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation:
Q #2: Simplify the expression. Which of the following is correct?

A. 9

B. 8

C. 6

D. 20
Answer Explanation

We follow the order of operations to solve the given expression. The order of operations is PEMDAS:
- Parentheses
- Exponents
- Multiplication and Division (in order from left to right)
- Addition and Subtraction (in order from left to right)
First, we start with the numerator and solve it as follows

[3(6+5*4)]

We start with multiplication in parenthesis, 5*4=20. The expression becomes

[3(6+20)]

Then, we conduct the addition in parenthesis 6+20=26. Then, the expression becomes

[3(26)]=3*26=78

Now, we solve for denominator, which is 26/2=13.

Thus, the expression is reduced into

The expression reduces into 6.
Q #3: How many milliliters are there in 6.5 liters?

A. 0.65

B. 65

C. 650

D. 6500

Answer Explanation

We use the relation 1 L=1000 mL to convert L to mL.

The two options for converting between L and mL are

And

We use the first option to convert 6.5 L to mL as follows:

Thus, 6.5 L is 6500 mL.