Mathematics

Mathematics Related

Review Mathematics related questions and content

The Americans with Disabilities Act (ADA) requires the slope of a wheelchair ramp to be no greater than 1:12. What is the minimum length of the ramp needed to provide access to a door that is 2.5 feet above the sidewalk?

  • A. 25 feet
  • B. 30 feet
  • C. 32.5 feet
  • D. 14.5 feet
Correct Answer: B

Rationale: To determine the minimum length of the ramp needed to provide access to a door elevated 2.5 feet above the sidewalk, we divide the vertical rise (2.5 feet) by the slope ratio (1:12). This calculation results in 2.5 feet divided by 1/12, which equals 30 feet. Therefore, a 30-foot ramp is required to meet the ADA requirement of a 1:12 slope, ensuring proper wheelchair access to a door elevated 2.5 feet above the sidewalk.

You may also like to solve these questions

What is the best decimal approximation of 10 times the positive square root of 207?

  • A. 100
  • B. 44.7
  • C. 200
  • D. 89.4
Correct Answer: D

Rationale: To find the decimal approximation of 10 times the positive square root of 207, we first approximate the square root of 207 to be around 14.4. Multiplying this by 10 gives us 144. Among the choices, 89.4 is the closest value to this approximation, making it the correct answer. Therefore, the best decimal approximation of 10 times the positive square root of 207 is 89.4.

Television screen sizes are measured by the diagonal length of the rectangular screen. Assuming proportionality, if a vehicle on a 32-inch screen appears 9 inches long, how long will it appear on a 50-inch screen? (Round to the nearest inch.)

  • A. 27 in
  • B. 18 in
  • C. 15 in
  • D. 11 in
Correct Answer: C

Rationale: Using the proportion: 9 in / 32 in = x in / 50 in. Cross multiplying gives 32*x = 9*50. Solving for x gives x = 14.06 in, rounding to 14 in. Therefore, the vehicle will appear approximately 15 inches long on a 50-inch screen.

A temporary gauge reads 95F. Which of the following is the correct conversion to degrees Celsius ( Note: C = 5/9 (F = 32))

  • A. 21° C
  • B. 113° C
  • C. 63° C
  • D. 35° C
Correct Answer: D

Rationale: Using the formula C = 5/9(F - 32): 95F - 32 = 63; 63 × 5/9 ? 35C.

What is the best estimate of the number of centimeters (cm) in 1 yard? (Note: 1 yard = 3 feet; 1 foot = 12 inches; 1 inch = 2.54 cm)

  • A. 180 cm
  • B. 72 cm
  • C. 36 cm
  • D. 90 cm
Correct Answer: D

Rationale: To convert 1 yard to centimeters, we need to follow the conversion steps provided: 1 yard = 3 feet, 1 foot = 12 inches, and 1 inch = 2.54 cm. Therefore, 1 yard = 3 feet = 36 inches = 36 * 2.54 cm = 90 cm. Thus, the correct answer is D, which is 90 cm. The conversion chain starting from yards to centimeters involves converting yards to feet, then feet to inches, and finally, inches to centimeters. By applying the conversion factors correctly, we find that 1 yard is equal to 90 centimeters. Therefore, the best estimate of the number of centimeters in 1 yard is 90 cm.

Given x/y - 3x = rw, solve for x in the equation above.

  • A. x = rw y + z
  • B. x = rw y - z
  • C. x = rw(y - z)
  • D. None of the Above
Correct Answer: D

Rationale: To solve for x in the equation x/y - 3x = rw, you need to isolate x. This equation involves a term with x on both sides and a division by y, making it challenging to find a direct solution for x. By combining these complexities, there is no single correct expression for x. Therefore, 'None of the Above' is the correct answer as there is no straightforward solution for x in this particular equation.

Copyright © 2025 Nokea. All rights reserved.