a table top has dimensions of 75cm by 50cm what is its perimeter if opposite sides are equal
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HESI A2

HESI A2 Math Practice Test 2023

1. A table top has dimensions of 75cm by 50cm. What is its perimeter if opposite sides are equal?

Correct answer: B

Rationale: Rationale: - Given that the table top has dimensions of 75cm by 50cm. - Since opposite sides are equal, the table top can be divided into two pairs of equal sides: 75cm and 50cm. - To find the perimeter, we add up all four sides: 75cm + 50cm + 75cm + 50cm = 250cm. - However, since opposite sides are equal, we only need to consider two sides: 75cm + 50cm = 125cm. - Therefore, the perimeter of the table top is 125cm + 125cm = 150cm. - Hence, the correct answer is B) 150cm.

2. Two 5-ohm resistors are placed in series and wired into a 100-V power supply. What current flows through this circuit?

Correct answer: B

Rationale: In a series circuit, the total resistance is the sum of the individual resistances. Therefore, the total resistance in this circuit is 5 ohms + 5 ohms = 10 ohms. Using Ohm's Law (V = I × R), we can find the current (I) by dividing the voltage (V) by the total resistance (R). I = V / R = 100 V / 10 ohms = 10 A. Choice A (2 A) is incorrect because it does not account for the total resistance of the circuit. Choice C (20 A) and Choice D (50 A) are also incorrect as they provide values that are not consistent with the calculations based on the given values in the question.

3. Which of the following compounds is ionic?

Correct answer: A

Rationale: The correct answer is NaCl (sodium chloride). Ionic compounds are formed by the transfer of electrons between a metal and a nonmetal. In NaCl, sodium (Na) is a metal, and chlorine (Cl) is a nonmetal. Sodium donates an electron to chlorine, leading to the formation of the ionic bond between them. This results in the formation of an ionic compound, where positively charged sodium ions are attracted to negatively charged chloride ions, creating a crystal lattice structure. Choices B, C, and D are not ionic compounds. H₂O (water) is a covalent compound formed by the sharing of electrons between two nonmetals (oxygen and hydrogen). HCl (hydrogen chloride) and NH₃ (ammonia) are also covalent compounds involving nonmetals sharing electrons, not transferring them.

4. Another word for PRECAUTION is?

Correct answer: B

Rationale: Another word for PRECAUTION is a preventive measure because both terms refer to actions taken in advance to prevent something untoward from happening. They are proactive steps aimed at avoiding potential risks or harm. While a routine procedure and habit may involve general practices, a preventive measure specifically denotes a proactive step taken to avert potential dangers or issues. 'Routine procedure' is incorrect as it does not necessarily imply preventive action. 'Habit' is incorrect as it refers to repeated behaviors rather than proactive steps. 'Safeguard' is incorrect as it generally means protection rather than a proactive preventive action.

5. Which statement is not a detail from the passage?

Correct answer: C

Rationale: Choice C, 'The water cycle does not involve precipitation,' is not a detail from the passage. The passage clearly states that precipitation, such as rain, snow, sleet, or hail, is a crucial part of the water cycle. On the other hand, choices A, B, and D are all supported by the passage. Condensation occurs when water vapor cools, evaporation occurs when water changes into gas, and water evaporates from oceans and rivers are all mentioned in the text.

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