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Using the formula for body mass index, calculate the values for A, B, C, D, E, F, and G given specific weights and heights.

Mathematics

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Here are the values for A, B, C, D, E, F, and G using the given formula:

Body mass index=weight (kg)[Height (m)]2\text{Body mass index} = \frac{\text{weight (kg)}}{\text{[Height (m)]}^2}

  1. Determine A (Takalani's BMI).

    A=65(1.65)2=652.7225≈23.875A = \frac{65}{(1.65)^2} = \frac{65}{2.7225} \approx 23.875 A=23.9A = \boxed{23.9}

  2. Determine B (Tshepang's BMI).

    B=68(1.62)2=682.6244≈25.910B = \frac{68}{(1.62)^2} = \frac{68}{2.6244} \approx 25.910 B=25.9B = \boxed{25.9}

  3. Determine C (Johnes' BMI).

    C=66(1.56)2=662.4336≈27.111C = \frac{66}{(1.56)^2} = \frac{66}{2.4336} \approx 27.111 C=27.1C = \boxed{27.1}

  4. Determine D (Gert's Mass).

    25.8=D(1.55)225.8 = \frac{D}{(1.55)^2} D=25.8×(1.55)2=25.8×2.4025=61.9845D = 25.8 \times (1.55)^2 = 25.8 \times 2.4025 = 61.9845 D=62 kgD = \boxed{62 \text{ kg}}

  5. Determine E (Paul's Mass).

    26.7=E(1.63)226.7 = \frac{E}{(1.63)^2} E=26.7×(1.63)2=26.7×2.6569=70.90923E = 26.7 \times (1.63)^2 = 26.7 \times 2.6569 = 70.90923 E=71 kgE = \boxed{71 \text{ kg}}

  6. Determine F (Ndumiso's Height).

    29.4=81F229.4 = \frac{81}{F^2} F2=8129.4≈2.755102F^2 = \frac{81}{29.4} \approx 2.755102 F=2.755102≈1.660F = \sqrt{2.755102} \approx 1.660 F=1.66 mF = \boxed{1.66 \text{ m}}

  7. Determine G (Vuyo's Height).

    25.2=63G225.2 = \frac{63}{G^2} G2=6325.2=2.5G^2 = \frac{63}{25.2} = 2.5 G=2.5≈1.581G = \sqrt{2.5} \approx 1.581 G=1.58 mG = \boxed{1.58 \text{ m}}
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