Answer:
113.04 (6 + g) / 32
Step-by-step explanation:
We know that the total area of a cone is:
A = Pi * r * (r + g), let g be the generatrix.
The radius is half the diameter, therefore, 12/2 = 6 feet.
Replacing:
A = 3.14 * (6) * (6 + g) = 113.04 (6 + g) square feet.
To know the total number of tiles package, we must divide the area of the cone by the area occupied by a package. So:
113.04 (6 + g) / 32
The problem statement does not have a height or the value of the generatrix therefore it is not possible to calculate the number of packages.
Answer:
A) Gradient = -3
B) 3y - x = 7
Step-by-step explanation:
The curve has the equation;
y = x³ - 6x² + 9x + 1
We are given the pints it passes through as;
A(2,3) and P(3, 1)
A) to find the gradient, we will find the derivative of the given equation.
Thus;
Gradient = y' = 3x² - 12x + 9
At point A, x = 2. Thus;
Gradient = 3(2²) - 12(2) + 9
Gradient = 12 - 24 + 9
Gradient = -3
B) since the gradient of the tangent = -3, it means the gradient of the normal will be; -1/-3 = 1/3
Thus, equation of the normal to the curve at point A will be;
(y - 3) = ⅓(x - 2)
Multiply both sides by 3 to get;
3y - 9 = x - 2
3y - x = 9 - 2
3y - x = 7
Answer:
5,175 fish
Step-by-step explanation:
To figure out the total you have to add all the fish together.
Day 1: 750 + 300 + 250 = 1,300 fish were caught on Day 1
Day 2: 720 + 455 + 400 + 50 = 1,625 were caught on Day 2
Day 3: 2,250 were caught on Day 3
Then, add those three numbers
1,300 + 1,625 + 2,250 = 5,175
Answer:
are 10 hours
Step-by-step explanation:
The reason its 10 hours is because on the lower right of the document it says 10.
Answer:
Step-by-step explanation:
So we have the function:
And we want to find g(0).
To do so, substitute 0 into x:
Multiply:
So, the value of g(0) is -2.
And we're done!
