a triangular scarf has sides measuring 10cm 12cm and 15cm what is its perimeter
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HESI A2

HESI A2 Math 2024

1. A triangular scarf has sides measuring 10cm, 12cm, and 15cm. What is its perimeter?

Correct answer: B

Rationale: Rationale: The perimeter of a triangle is the sum of the lengths of its three sides. In this case, the sides of the triangular scarf measure 10cm, 12cm, and 15cm. Therefore, the perimeter is calculated as: Perimeter = 10cm + 12cm + 15cm Perimeter = 37cm Therefore, the correct answer is B) 32cm.

2. A lab test result shows a blood glucose level of 5.5 millimoles per liter (mmol/L). What is the equivalent level in milligrams per deciliter (mg/dL)?

Correct answer: A

Rationale: To convert the blood glucose level from millimoles per liter (mmol/L) to milligrams per deciliter (mg/dL), we need to perform a double conversion. 1 millimole is equivalent to 180.15 milligrams, and 1 liter is equal to 10 deciliters. First, multiply the glucose level (5.5 mmol/L) by the conversion factor for millimoles to milligrams (180.15 mg/mmol), then divide by the conversion factor for liters to deciliters (10 dL/L): 5.5 mmol/L * 180.15 mg/mmol / 10 dL/L ≈ 55 mg/dL. Therefore, the equivalent blood glucose level in mg/dL is 55. Choice A is correct. Choice B is incorrect as it does not account for the conversion factors properly. Choices C and D are significantly off as they do not follow the correct conversion calculations.

3. Express 0.75 as a fraction.

Correct answer: B

Rationale: To express 0.75 as a fraction, we write it as 75/100. Simplifying this fraction by dividing both the numerator and denominator by 25 gives us 3/4. Therefore, 0.75 is equivalent to 3/4. Choice A (4/5), Choice C (1/2), and Choice D (1/4) are incorrect fractions and do not represent 0.75.

4. What is 60% of 90?

Correct answer: A

Rationale: To find 60% of 90, you multiply 90 by 0.60 (which is the decimal form of 60%). So, 90 * 0.60 = 54. Therefore, 60% of 90 is 54. Choice A is correct. Choice B, C, and D are incorrect as they do not reflect the correct calculation for finding 60% of 90.

5. How many centimeters are in a foot?

Correct answer: C

Rationale: The correct answer is C: 30.48 cm. This conversion is based on the standard measurement where 1 foot is equal to 30.48 centimeters. Choice A (30 cm) is incorrect as it is a rounded-down value and not precise. Choice B (31.5 cm) is incorrect as it is not the standard conversion for feet to centimeters. Choice D (35 cm) is incorrect as it is not the accurate conversion for a foot to centimeters.

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