1. **Stating the problem:** We have several subproblems from the user's message. We will solve each one step-by-step. --- ### Problem 1: Matching definitions to concepts 1.1.1 Aansigplan corresponds to B (Visuele voorstelling van die buitensye van 'n gebou). 1.1.2 Numeriese skaal corresponds to G (Skaal waar een eenheid op die kaart in werklikheid 50 000 eenhede voorstel). 1.1.3 Volume corresponds to I (Die oppervlakte van al die vlakke van 'n voorwerp wat by mekaar getel word) - This is incorrect; volume is the driedimensionele ruimte (A). I is surface area. 1.1.4 Afstand corresponds to J (Die resultaat van spoed, in km/h, gedeel deur die tyd, in uur) - This is incorrect; afstand (distance) is spoed × tyd (E). 1.1.5 Omtrek corresponds to F (Afstand rondom die buitekand van 'n vorm). **Correct matches:** - 1.1.1: B - 1.1.2: G - 1.1.3: A (Volume) - 1.1.4: E (Afstand) - 1.1.5: F (Omtrek) --- ### Problem 2: Synthetic leather and circles Given: - Radius of one large circle $r = 1.4$ cm - Width of synthetic leather roll $h = 1.37$ m = 137 cm - Length of leather bought = 30 cm - Amanda claims leftover leather area after cutting all large circles is less than 6000 cm² **Step 1:** Calculate area of leather piece: $$\text{Area}_{\text{leather}} = 137 \times 30 = 4110 \text{ cm}^2$$ **Step 2:** Calculate area of one circle: $$A_{circle} = 3.142 \times (1.4)^2 = 3.142 \times 1.96 = 6.16 \text{ cm}^2$$ **Step 3:** Calculate how many circles fit: - Along width: $\lfloor \frac{137}{2.8} \rfloor = 49$ (since diameter = 2 × radius = 2.8 cm) - Along length: $\lfloor \frac{30}{2.8} \rfloor = 10$ - Total circles: $49 \times 10 = 490$ **Step 4:** Total area of circles: $$490 \times 6.16 = 3018.4 \text{ cm}^2$$ **Step 5:** Leftover area: $$4110 - 3018.4 = 1091.6 \text{ cm}^2$$ Since $1091.6 < 6000$, Amanda's claim is correct. --- ### Problem 3: Verifying bird flight distance Given: - Direct distance between B and E = 311.72 miles - Extra distance claimed = 268.13 km - Conversion: 1 mile = 1.60934 km **Step 1:** Convert direct distance to km: $$311.72 \times 1.60934 = 501.7 \text{ km}$$ **Step 2:** Total distance flown: $$501.7 + 268.13 = 769.83 \text{ km}$$ **Step 3:** Check if extra distance is valid: Extra distance is $268.13$ km, which is about 53.4% of direct distance. This is plausible, so the claim is valid. --- ### Problem 4: Number of girls shorter than 5 feet Given: - Largest flammik height = 59 inches ≈ 5 feet - 10% of women are shorter than 5 feet - Women = 50% of population - Total population = 333 million - 78% of population is adult **Step 1:** Calculate adult population: $$333 \times 0.78 = 259.74 \text{ million}$$ **Step 2:** Calculate adult women: $$259.74 \times 0.5 = 129.87 \text{ million}$$ **Step 3:** Calculate women shorter than 5 feet: $$129.87 \times 0.10 = 12.987 \text{ million}$$ **Answer:** Approximately 13 million girls are shorter than 5 feet. --- **Final answers:** - Matching definitions corrected. - Amanda's claim about leftover leather is true. - Bird's extra flight distance claim is valid. - About 13 million girls are shorter than 5 feet in the country.