The Golden number is one of the roots of x²-x-1=0 and x = (1+√5)/2= 1.618
It's just a mathematical constant you can come across in trigonometry, geometry, sequence like Fibonacci and others. You may find it in fractals also and in many shapes in the nature but not necessarily always true.
It might be a coincidence in some natural shapes, but definitely it is a recognized math contant useful in many math domains
The remainder of 640 divided by 79 is 71.1111111111111111111111111111111
Answer:
Selling price = $1242.85
Step-by-step explanation:
Given the following data;
Cost price = $1,675
Discount = 30%
Sales tax rate = 6%
To find the selling price;
First of all, we would determine the discount price.
Discount price = 30/100 * 1675
Discount price = 50250/100
Discount price = $502.5
New price = cost price - discount
New price = 1675 - 502.5
New price = $1172.5
Next, we calculate the sales tax.
Sales tax price = 6/100 * 1172.5
Sales tax price = 7035/100
Sales tax price = 70.35
Now, we can determine the selling price after discount and sales tax;
Selling price = 1172.5 + 70.35
Selling price = $1242.85
Therefore, you will pay $1242.85 for the laptop computer.
Answer: y = (-4/9)x2 + (16/9)x + (47/9)
Step-by-step explanation:
f(x) = a(x - h)2 + k, where the vertex is (h,k) = (2,7) while passing through the point (x,y) = (-1,3). We must plug everything in to solve for a first. Then,
3 = a(-1 - 2)2 + 7
3 = a(-3)2 + 7................Subtract 7 to both sides such that
-4 = 9a...............Then divide 9 such that
a = (-4/9)
Now we plug a into the equation with the vertex to create the parabolic function such that
y = (-4/9)(x - 2)2 + 7 ..............Then FOIL the (x-2)2 such that
y = (-4/9)(x2 - 4x + 4) + 7..............Then distribute the (-4/9) inside such that
y = (-4/9)x2 + (16/9)x - (16/9) + 7.............Then (-16/9) + 7 = (-16/9) + (63/9) = 47/9
so, y = (-4/9)x2 + (16/9)x + (47/9)
Answer:
The area of the patio without the tub is 53.44 ft²
Step-by-step explanation:
In order to calculate the area of the patio that is not covered by the hot tub we need to calculate the total area of the patio and subtract it by the area of the tub. Since the patio is rectangular it's area is given by "area = length*width" and the area of the tub is given by "area = pi*r²".
area patio = length*width = 11*6 = 66 ft²
area tub = pi*r² = pi*(48/2)² = pi*(24)² = 1,808.64 in²
To compare the area we need to convert the areas to the same unit, to do that we will convert the area of the tub from in² to ft², in order to do that we need to divide the value by 144. We have:
area tub = 1,808.64/144 = 12.56 ft²
The area of the patio without the tub is:
x = area patio - area tub = 66 - 12.56 = 53.44 ft²
