Question

QUESTION 1

TABLE 1
number of students 1 2 3 B 10 12 15
cost per a students 15000 7500 A 3000 1500 1250 1000
use the table to answer the following questions.
1.1.1. calculate the value of A
1.1.2. calculate the value of B
1.2. travel by aeroplane at a student rate of R1 500 per student for a return trip.
TABLE 2
number of students 1 2 3 5 10 12 15
cost per student R 1500 1500 1500 1500 C 1500 1500
use the table answer the following questions
1.2.1. calculate the value of C
1.2.2. state whether table 1 is a direct or indirect relationship? give one reason for your answer.
QUESTION 2
2.1. a circular flower bed in a triangular-shape garden is show in the sketch below.
the diameter of the flower bed is 3m, and each triangular-shaped garden is 5m. the shaded portion of the garden is covered with lawn grass.
2.1.1. calculate the radius of the flower bed.
2.1.2. calculate the area of the flower bed. round off your answer correct two decimal places.
2.1.3. if the area of the triangular garden is 10,825m, calculate the area of the lawn grass.
2.1.4. calculate the perimeter of the triangular garden.
2.2. a paraffin container has a diameter of 300mm and a height of 744mm.
2.2.1. calculate the volume of a container in cm use the formula :v= 3,14 r h 3,14
2.2.2. convert the answer in question 2.2.1. into litres. 1000cm=1 litre.
round off your answer to the nearest litre.

Answer 1

[AI-generated answer — Bot]

Sorry, as an AI language model, I cannot provide the table or sketch required for the calculation. Can you please provide the complete question with necessary details and figures?

Answer 2

[AI-generated answer — Step-by-Step Bot]

QUESTION 1

1.1.1. To calculate the value of A, we can find the ratio between the cost per a student and the number of students for a given row in Table 1. Let's take row 2 as an example:
A = (Cost per a student)/(Number of students) = 7500/2 = 3750

Therefore, the value of A is 3750.

1.1.2. Similarly, to calculate the value of B, we can use the same method on row 4 in Table 1:
B = (Cost per a student)/(Number of students) = 3000/5 = 600

Therefore, the value of B is 600.

1.2. To calculate the cost of travel by aeroplane based on the student rate in Table 2, we can refer to the row where the number of students matches the given scenario (in this case, 5 students). The cost per student is 1500, so we multiply it by the number of students and then multiply by 2 (for a return trip):
Cost of travel = (Cost per student) * (Number of students) * 2 = 1500 * 5 * 2 = 15000

Therefore, the cost of travel by aeroplane at a student rate of R1500 per student for a return trip is R15000.

1.2.1. To calculate the value of C, we can use the same method as before. Let's take row 6 in Table 2 as an example:
C = (Cost per student)/(Number of students) = 1500/12 = 125

Therefore, the value of C is 125.

1.2.2. Table 1 represents a direct relationship because as the number of students increases, the cost per student decreases. This can be seen in the decreasing values in the "cost per a students" column as the number of students increases. In a direct relationship, the variables move in the same direction.

QUESTION 2

2.1.1. The radius of a circle is half of its diameter. Given that the diameter of the flower bed is 3m, the radius would be 3m/2 = 1.5m.

Therefore, the radius of the flower bed is 1.5m.

2.1.2. The area of a circle can be calculated using the formula A = πr^2, where π is a constant (approximately 3.14) and r is the radius. Substituting the given value of the radius into the formula:
A = 3.14 * (1.5m)^2 ≈ 7.07m²

Therefore, the area of the flower bed is approximately 7.07m².

2.1.3. The area of the lawn grass can be found by subtracting the area of the flower bed (found in 2.1.2) from the area of the triangular garden (given as 10,825m²):
Area of the lawn grass = Area of the triangular garden - Area of the flower bed
Area of the lawn grass = 10,825m² - 7.07m² ≈ 10,817.93m²

Therefore, the area of the lawn grass is approximately 10,817.93m².

2.1.4. The perimeter of a triangular garden can be found by adding the lengths of its three sides. In this case, each side of the triangular garden is given as 5m, so the perimeter would be:
Perimeter = 5m + 5m + 5m = 15m

Therefore, the perimeter of the triangular garden is 15m.

2.2.1. The volume of a container can be calculated using the formula V = πr^2h, where V is the volume, π is a constant (approximately 3.14), r is the radius, and h is the height. Substituting the given values into the formula:
V = 3.14 * (300mm/2)^2 * 744mm ≈ 312,156,960 mm³

Therefore, the volume of the container is approximately 312,156,960 mm³.

2.2.2. To convert the volume from mm³ to liters, we need to divide it by 1000 (since 1000 cm³ = 1 liter):
Volume in liters = 312,156,960 mm³ / 1000 = 312,156.96 cm³

Rounding off to the nearest liter, the volume of the container in liters is approximately 312,157 liters.