Each cone is wrapped in paper around the side and on the circular top. How much paper would be needed to cover the surface area of the cone including the circular top? Show the mathematics you used to find your answer. Use units to express your answer.

Total surface area = 22 in²

Step-by-step explanation:

Given:

Diameter of circle = 2 in

Radius of circle = 1 in

Slant height = 6 in

Find:

Total surface area

Computation:

Total surface area = πr(l+r)

Total surface area = (22/7)(1)(6+1)

Total surface area = 22 in²

The correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0)

Step-by-step explanation:

From the graph of the function, the y-intercept is observed at (0, 100), the x-intercept occurs at (8, 0)

Therefore, we have the slope, m given by the following relation

Where:

y₁ = 100

x₁ = 0

y₂ = 0

x₂ = 8

Which gives;

The equation in slope can be found as follows

y - 100 = -12.5×(x - 0)

y = -12.5·x  + 100 = -25/2·x  + 100

Multiplying by 2 gives;

2·y = -25·x + 200

25·x + 2·y =  200

Therefore, the correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0).