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Sample Question of the Day

Multiple select📘 G.SRT.D.10🧠 DOK 1

Question:

Which of the following statements correctly describe the application of the Law of Sines or the Law of Cosines in solving triangles? Select all that apply.

Answer Choices:

  • A) The Law of Sines can be used to find the length of a side in a right triangle when two angles and one side are known.
  • B) The Law of Cosines can be used to find the length of a side in a non-right triangle when two sides and the included angle are known.
  • C) The Law of Sines is only applicable to right triangles.
  • D) The Law of Cosines applies only to isosceles triangles.
  • E) The Law of Sines can be used to find an unknown angle in a non-right triangle when two sides and one angle are known.
✅ Answer:
The Law of Sines can be used to find the length of a side in a right triangle when two angles and one side are known.;The Law of Cosines can be used to find the length of a side in a non-right triangle when two sides and the included angle are known.;The Law of Sines can be used to find an unknown angle in a non-right triangle when two sides and one angle are known.

💡 Explanation:

  • The Law of Sines is applicable for any triangle, not just right triangles, and can be used when we know two angles and one side or two sides and one angle.

  • The Law of Cosines, on the other hand, is useful for finding unknown sides or angles in any triangle, not just isosceles triangles, particularly when two sides and the included angle are known.

Standard: G.SRT.D.10 | DOK: 1

Recent Questions

Dropdown📘 8.G.B.6🧠 DOK 1

Question:

Which of the following statements explains the Pythagorean Theorem?

Answer Choices:

  • A) In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
  • B) In all triangles, the sum of the interior angles is 180 degrees.
  • C) In an isosceles triangle, the angles opposite the equal sides are equal.
  • D) In a triangle, the exterior angle is equal to the sum of the two interior opposite angles.
✅ Answer:
In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

💡 Explanation:

  • The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).

  • This fundamental relation in Euclidean geometry applies only to right triangles.

Standard: 8.G.B.6 | DOK: 1

Dropdown📘 MS-PS1-2🧠 DOK 1

Question:

A student mixes two clear liquids together in a beaker. After a few minutes, they observe that a solid has formed and settled at the bottom of the beaker. Which of the following observations best indicates that a chemical reaction has occurred?

Answer Choices:

  • A) The liquids remain clear and do not change.
  • B) A solid forms and settles at the bottom.
  • C) The temperature of the liquids remains constant.
  • D) The liquids change color without forming a solid.
✅ Answer:
A solid forms and settles at the bottom.

💡 Explanation:

  • The formation of a solid when two liquids are mixed indicates a chemical reaction has occurred, as new substances are formed.
  • This new substance is a precipitate.

Standard: MS-PS1-2 | DOK: 1

Short Answer📘 MS-LS1-2🧠 DOK 4

Question:

Develop a detailed model to explain the function of a plant cell as a whole. In your explanation, describe how specific organelles contribute to the cell's overall function. Consider including the role of the cell wall, chloroplasts, and the nucleus in your model. How do these components interact to support the life of the cell?

✅ Answer:
A detailed model of a plant cell would include key organelles such as the cell wall, chloroplasts, and the nucleus. The cell wall provides structural support and protection, maintaining the shape of the cell and preventing excessive water intake. Chloroplasts are the sites of photosynthesis, converting sunlight into chemical energy stored as glucose, which is vital for the cell's energy needs. The nucleus acts as the control center, housing DNA and regulating gene expression and cell functions. These organelles work together as the chloroplasts supply energy, the nucleus directs cellular activities, and the cell wall ensures stability and protection, all contributing to the cell's survival and function.

💡 Explanation:

  • The plant cell is a complex structure where each organelle plays a crucial role.
  • The cell wall maintains the integrity and shape of the cell, chloroplasts facilitate photosynthesis to produce energy, and the nucleus controls activities by managing genetic information.
  • The interaction between these organelles ensures the cell can perform necessary life functions efficiently.

Standard: MS-LS1-2 | DOK: 4

Multiple choice📘 N.RN.A.3🧠 DOK 3

Question:

Simplify the expression 50x4y5 \sqrt{50x^4y^5} .

Answer Choices:

  • A)

    A)5x2y22yA) 5x^2y^2\sqrt{2y}

  • B)

    B)5x2y25yB) 5x^2y^2\sqrt{5y}

  • C)

    C)5x2y210yC) 5x^2y^2\sqrt{10y}

  • D)

    D)10x2y25yD) 10x^2y^2\sqrt{5y}

✅ Answer:

A) 5x^2y^2\sqrt{2y}

💡 Explanation:

  • To simplify the expression 50x4y5 \sqrt{50x^4y^5} , we first look at each part separately.

  • The number 50 can be factored into 25×2 25 \times 2 , so 50=25×2=52 \sqrt{50} = \sqrt{25} \times \sqrt{2} = 5\sqrt{2} .

  • For the variable x4 x^4 , x4=x2 \sqrt{x^4} = x^2 .

  • For y5 y^5 , we split it as y4×y y^4 \times y , so y5=y4×y=y2y \sqrt{y^5} = \sqrt{y^4} \times \sqrt{y} = y^2\sqrt{y} .

  • Combining these, the simplified expression is 5x2y22y 5x^2y^2\sqrt{2y} .

Standard: N.RN.A.3 | DOK: 3

Multiple choice📘 MS-ESS3-5🧠 DOK 1

Question:

Which of the following is a major factor that has contributed to climate change over the past century?

Answer Choices:

  • A) Increased volcanic activity
  • B) Deforestation
  • C) The natural cycle of the Earth
  • D) Decreased solar activity
✅ Answer:
Deforestation

💡 Explanation:

  • Deforestation is a major factor contributing to climate change as it increases the amount of carbon dioxide in the atmosphere, one of the greenhouse gases responsible for global warming.

Standard: MS-ESS3-5 | DOK: 1

Dropdown📘 MS-ESS1-3🧠 DOK 4

Question:

Using your knowledge of scale properties of objects in the solar system, select the correct relative size and distance for each celestial object compared to Earth.

Answer Choices:

  • A) Jupiter's diameter is approximately 11 times that of Earth's; its distance from the Sun is about 5 times Earth's distance.
  • B) Mars' diameter is about half of Earth's; its distance from the Sun is about 1.5 times Earth's distance.
  • C) Venus' diameter is nearly the same as Earth's; its distance from the Sun is slightly less than Earth's distance.
✅ Answer:
Jupiter's diameter is approximately 11 times that of Earth's; its distance from the Sun is about 5 times Earth's distance.

💡 Explanation:

  • Jupiter is the largest planet in the solar system, with a diameter approximately 11 times that of Earth.
  • It is situated at an average distance from the Sun that is about 5 times the Earth-Sun distance (1 AU).
  • Analyzing these scale properties helps in understanding the vast differences in size and distances in our solar system.

Standard: MS-ESS1-3 | DOK: 4

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