What is the distance between Cape Town and Hondeklipbaai in metres?

Okay, let's finish these questions. 3.2.3 What is the distance between Cape Town and Hondeklipbaai in metres? Step 1: Identify the distances between the main towns on the strip chart. • Cape Town to Malmesbury: 60 km • Malmesbury to Piketberg: 50 km • Piketberg to Clanwilliam: 60 km • Clanwilliam to Citrusdal: 30 km • Citrusdal to Vanrhynsdorp: 80 km • Vanrhynsdorp to Garies: 120 km • Garies to Kamieskroon: 60 km Step 2: Calculate the total distance from Cape Town to Garies. Distance (CT to Garies) = 60 km + 50 km + 60 km + 30 km + 80 km + 120 km = 400 km Step 3: Determine the distance from Garies to the Hondeklipbaai turn-off. The note states: "The bypass to Hondeklipbaai is in the middle of Garies and Kamieskroon." The distance between Garies and Kamieskroon is 60 km. So, the turn-off is halfway: Distance (Garies to turn-off) = 60 km2 = 30 km Step 4: Calculate the total distance from Cape Town to the Hondeklipbaai turn-off. Total distance (CT to turn-off) = Distance (CT to Garies) + Distance (Garies to turn-off) Total distance (CT to turn-off) = 400 km + 30 km = 430 km Step 5: Convert the total distance from kilometers to meters. 1 km = 1000 m Total distance in m = 430 km × 1000 m/km = 430000 m The actual distance between Cape Town and Hondeklipbaai is 430000 m. 3.2.4 Koketso travelled from Malmesbury to Springbok. Prove if he was within the accepted speed limit if it took him 4 hours and 30 minutes to reach his destination. Step 1: Calculate the total distance from Malmesbury to Springbok using the strip map. • Malmesbury to Piketberg: 50 km • Piketberg to Clanwilliam: 60 km • Clanwilliam to Citrusdal: 30 km • Citrusdal to Vanrhynsdorp: 80 km • Vanrhynsdorp to Garies: 120 km • Garies to Kamieskroon: 60 km • Kamieskroon to Springbok: 70 km Total distance = 50 + 60 + 30 + 80 + 120 + 60 + 70 = 480 km Step 2: Convert the travel time to hours. Time taken = 4 hours and 30 minutes 30 minutes = (30)/(60) hours = 0.5 hours Total time = 4 hours + 0.5 hours = 4.5 hours Step 3: Calculate Koketso's average speed. Speed = DistanceTime Speed = 480 km4.5 hours ≈ 106.67 km/hr Step 4: Compare the calculated speed with the accepted speed limit. Accepted speed limit = 120 km/hr Koketso's speed ≈ 106.67 km/hr Since 106.67 km/hr < 120 km/hr, Koketso was within the accepted speed limit. Koketso was within the accepted speed limit. 3.2.5 Calculate the probability (to two decimal places) of choosing an even-numbered road from the regional roads. Step 1: Identify all numbered regional roads from the strip map. The regional roads are those branching off the main N7 National Road: • R303 (to Ceres) • R27 (to Calvinia) • R364 (to Lamberts Bay) • R45 (to Vredenburg) • R307 (to Darling) • R311 (to Moorreesburg) Total number of regional roads = 6. Step 2: Identify the even-numbered regional roads. • R303 (odd) • R27 (odd) • R364 (even) • R45 (odd) • R307 (odd) • R311 (odd) Number of even-numbered regional roads = 1 (R364). Step 3: Calculate the probability. Probability = Number of even-numbered regional roadsTotal number of regional roads Probability = (1)/(6) Step 4: Convert the probability to two decimal places. Probability ≈ 0.1666... ≈ 0.17 The probability of choosing an even-numbered road from the regional roads is 0.17. Last free one today — make it count tomorrow, or type /upgrade for unlimited.