a playground fence has a rectangular section 5m by 3m attached to a semicircular section with a radius of 2m what is the total perimeter
Logo

Nursing Elites

HESI A2

Practice HESI A2 Math Test

1. What is the total perimeter of a playground fence that has a rectangular section (5m by 3m) attached to a semicircular section with a radius of 2m?

Correct answer: D

Rationale: To find the total perimeter, we first calculate the perimeter of the semicircle, which is half of a full circle, so the formula is π * radius. For the semicircle with a radius of 2m, the perimeter is approximately 3.14 * 2m = 6.28m. Next, we calculate the perimeter of the rectangular section by adding twice the length and twice the width (2 * length + 2 * width). For the rectangle with dimensions 5m by 3m, the perimeter is 2 * 5m + 2 * 3m = 10m + 6m = 16m. Finally, we sum the perimeters of the semicircle and the rectangle to get the total perimeter: 6.28m + 16m = 22.28m. Rounding to the nearest meter, the total perimeter is approximately 22m. Therefore, the correct answer is 22m. Choices A, B, and C are incorrect as they do not accurately calculate the total perimeter of the playground fence.

2. A medication dosage is listed as 1/4 gram. What is the equivalent dosage in milligrams (1 gram = 1000 milligrams)?

Correct answer: B

Rationale: 1/4 gram is equivalent to 1/4 * 1000 milligrams (since 1 gram = 1000 milligrams). 1/4 * 1000 = 250 milligrams. Therefore, the equivalent dosage in milligrams is 250mg, which corresponds to option B. The other choices are incorrect because they do not correctly convert 1/4 gram to milligrams using the conversion factor of 1 gram = 1000 milligrams.

3. What is the result of adding 1/4 + 3/8?

Correct answer: A

Rationale: To add fractions with different denominators, find a common denominator. In this case, the common denominator of 4 and 8 is 8. Convert 1/4 to 2/8, then add it to 3/8. The sum is 5/8. Choice B (7/12) is incorrect as it is the result of adding 1/3 + 1/4. Choice C (2/3) is incorrect as it is the result of adding 3/8 + 1/4. Choice D (1/2) is incorrect as it is the result of adding 1/4 + 1/4.

4. Jill saved $140 out of the $400 she earned in one month. What percent of her earnings did she save?

Correct answer: B

Rationale: To calculate the percentage of her earnings that Jill saved, divide the amount saved ($140) by the total earnings ($400) and then multiply by 100 to find the percentage. Therefore, (140/400) * 100 = 35%. Jill saved 35% of her earnings. Choice A (30%) is incorrect because it underestimates the percentage saved. Choice C (40%) is incorrect as it overestimates the percentage saved. Choice D (25%) is incorrect for the same reason. The correct calculation is 140/400 = 0.35 * 100 = 35%.

5. Solve for x: x/250 = 3/500.

Correct answer: C

Rationale: To solve for x, cross-multiply: x/250 = 3/500. This simplifies to x = 1.5. Therefore, the correct answer is 1.5. Choice A (150) is incorrect because it does not account for the division by 250. Choice B (25.5) is incorrect as it is not the correct result of the calculation. Choice D (60) is incorrect as it is not the correct result of the calculation either.

Similar Questions

Gus is making a chili recipe that calls for three parts beans to five parts ground beef. If he is using 8 cups of ground beef for a big family dinner, how many cups of beans will Gus need?
How many ounces are in a gallon?
If a package of 10 pencils is divided between every 2 students in a class with 20 students, how many pencils are needed?
Write the date 2007 in Roman numerals.
How many ounces are in 3/4 pints?

Access More Features

HESI A2 Basic
$49/ 30 days

  • 3,000 Questions with answers
  • 30 days access

HESI A2 Premium
$99/ 90 days

  • Actual HESI A2 Questions
  • 3,000 questions with answers
  • 90 days access

Other Courses