We read your photo as:

Choose a description from COLUMN B that matches a term in COLUMN A. Write only the letter (A-G) next to the question number (2.1.1–2.1.5) in the ANSWER BOOK.

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps

1.8 Missing values A and B
The total distance is 360 km360 \text{ km}. The formula relating speed, distance, and time is speed=distancetime\text{speed} = \frac{\text{distance}}{\text{time}}. This can be rearranged to find time or speed.

  1. Calculate the value of A.

    A represents the time taken when the speed is 30 km/h30 \text{ km/h}.

    Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}} A=360 km30 km/hA = \frac{360 \text{ km}}{30 \text{ km/h}} A=12 hoursA = 12 \text{ hours}
  2. Calculate the value of B.

    B represents the speed when the time taken is 6 hours6 \text{ hours}.

    Speed=DistanceTime\text{Speed} = \frac{\text{Distance}}{\text{Time}} B=360 km6 hoursB = \frac{360 \text{ km}}{6 \text{ hours}} B=60 km/hB = 60 \text{ km/h}

    The missing values are A=12 hours\boxed{A = 12 \text{ hours}} and B=60 km/h\boxed{B = 60 \text{ km/h}}.

    2.1 Matching terms
    Match the terms in Column A with their descriptions in Column B.

    • 2.1.1 Area: The measure of the inside of a closed 2D shape.
      • 2.1.1 →\rightarrow E
    • 2.1.2 Perpendicular lines: Lines that meet at a right angle.
      • 2.1.2 →\rightarrow D
    • 2.1.3 3D object: An object that has faces, edges, and vertices.
      • 2.1.3 →\rightarrow A
    • 2.1.4 Diagonal: A slanted line that goes from corner to corner.
      • 2.1.4 →\rightarrow B
    • 2.1.5 Parallel lines: Lines that have a constant distance between them.
      • 2.1.5 →\rightarrow F

    2.2 Rectangular garden dimensions
    The area of the rectangular garden is 48 m248 \text{ m}^2. The area of a rectangle is given by the formula Area=length×width\text{Area} = \text{length} \times \text{width}. No side can be less than 2 m2 \text{ m}.

  3. List pairs of factors for 48.

    The pairs of positive integers that multiply to 48 are:

    • 1×481 \times 48
    • 2×242 \times 24
    • 3×163 \times 16
    • 4×124 \times 12
    • 6×86 \times 8
  4. Identify pairs where both dimensions are 2 m2 \text{ m} or greater.

    • 1 m×48 m1 \text{ m} \times 48 \text{ m} (1 is less than 2, so this is not a valid option)
    • 2 m×24 m2 \text{ m} \times 24 \text{ m} (Both 2 and 24 are ≥2\ge 2)
    • 3 m×16 m3 \text{ m} \times 16 \text{ m} (Both 3 and 16 are ≥2\ge 2)
    • 4 m×12 m4 \text{ m} \times 12 \text{ m} (Both 4 and 12 are ≥2\ge 2)
    • 6 m×8 m6 \text{ m} \times 8 \text{ m} (Both 6 and 8 are ≥2\ge 2)

    The possible dimensions for the sides of the garden are:
    2 m×24 m\boxed{2 \text{ m} \times 24 \text{ m}}
    3 m×16 m\boxed{3 \text{ m} \times 16 \text{ m}}
    4 m×12 m\boxed{4 \text{ m} \times 12 \text{ m}}
    6 m×8 m\boxed{6 \text{ m} \times 8 \text{ m}}

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp