No shape is mathematical really unless it has been created by a mathematical formula, but is certainly a geometric shape. But anything which is a 2D or 3D shape is geometric. My improvement: A catenary curve from a mathematical equation such as cosh x, is a mathematical and natural shape. Maby each other arch can be approximated by a mathematical formula.
b = base. h = height.Depends what shape. A rectangle or square is length x width. A trapezoid is h/2(b1 +b2). A triangle is 1/2bh. A circle is pi x r^2.
x2=(4a)(a) x=√4a2 x=2a The geometric mean of a and 4a is 2a
If there are only k numbers x(1),x(2)....,x(k), the geometric mean is the kth root of the product of these k numbers. Example: find the geometric mean of 4,3,7,8 We want the fourth root of 4 x 3 x 7 x 8 = 672 =(672)^(1/4) = 5.09146 is the geometric mean. The geometric mean is normally defined only for a set of positive numbers.
The geometric mean is a positive number x such that x/5 = 25/x. Thus, x2 = 125, so x = 5*sqrt(5).
Geometric Sequences work like this. You start out with some variable x. Your multiplication distance between terms is r. Your second term would come out to x*r, your third x*r*r, and so on. If there are n terms in the sequence, your final term will be x*r^(n-1).
Shaped like an X
A rhombus is a four sided polygon, a quadrilateral. It is a 2d shape. 2d shapes have 2 dimensions, like length and width. 3d shapes have 3 dimensions, like length, width and depth.
Kind of like an X with wiggly lines.
Geometric mean = √(2 x sqrt(8)) = 2.37841 (rounded)
The volume of air in a balloon can be calculated by measuring the dimensions of the balloon and using the formula for the volume of a sphere (4/3 x pi x r^3) if the balloon is spherical. If the balloon is not spherical, the volume can be estimated by using the formula for the volume of a cylinder (pi x r^2 x h) or a different geometric shape that closely approximates the balloon's shape.
x=√(2x3)=√6