Write an equation of the line passing through (-3,2) and (5,3). Give the answer in standard form.
1 answer:
You might be interested in
Answer:
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone ≈ 12.57 m²
Step-by-step explanation:
The given parameters are;
The height of the cone = 5 m
The base radius of the cone = 2 m
The angle which the AC = 120°
Therefore, we have;
The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone
The angle between [CF] and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°
∴ The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone = 68.2°
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57
The area of the base of the cone ≈ 12.57 m².
Answer:
The system of equations is:
Here a is the number of adult tickets and s is the number of student tickets
Step-by-step explanation:
We will use the given statements to make a system of equations for the given scenario.
First of all we have to decide which variables to be used.
Let a be the number of adult tickets and
Let s be the number of student tickets
So according to the statement that the department sold 250 tickets in total, the equation will be:
This is equation one of the system of equations
According to the statement that cost of adult ticket is $5, total cost of adult tickets will be:
According to the statement that cost of student ticket is $2.50, total cost of student tickets will be:
The total earning was $837.50 so the second equation will be:
Hence,
The system of equations is:
Here a is the number of adult tickets and s is the number of student tickets