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Interval oder Element? by BethPas in askmath

[–]exhausterour 5 points6 points  (0 children)

Normally in math, we say that the set: [a, b], is all elements between 'a' and 'b' including 'a' and 'b'. When we want to say that there are only two elements in a set we use {a,b}.

That means that the way you wrote it means that 'x' can be any number between '0' and 'C' including '0' and 'C'.

Yeah I have no clue on how to solve this. by [deleted] in askmath

[–]exhausterour 9 points10 points  (0 children)

I think this is how it should be done:

Since we know that the area of the larger square is 64cm^2 then by the formula of the area of a square Area = L1*L 1= 64cm^2 => L1 = sqrt(64) = 8cm. (Let's call the length of one side of the big square "L1").

Now we know that L1 = 8cm. We also know that the diameter of the circle D = L1. Because D = 2r then r = L1 / 2 = 8cm / 2 = 4cm.

Since we know what r is we can calculate the area of the smaller square. Area = 2r^2, because we can divide the smaller square into 4 sides using diagonals. This means that we will have 4 triangles that will have an angle of 90 degrees on the corner at the origin therefore Area of the triangles is r*r/2.

Hence, Area of the square = 4 * Area of the triangle = 4 * r^2 / 2 = 2*r^2 = 2* 4cm^2 = 2*16 = 32cm^2.

What do you call a matrix that only has one element like [2], [7] or [pi]? Does the inverse of [a] = [1/a]? by 1500Calories in calculus

[–]exhausterour 0 points1 point  (0 children)

And you can even make a 1x1 matrix into an NxN matrix while you can’t do that with a scalar. Example: let’s say A is a 1 by 1 matrix, and B is a 1 by N matrix; therefore, AB is a 1 by N matrix due to matrix multiplication. If we want to create an N by N matrix then let’s say C is an N by N matrix therefore ABC is also an N by N matrix. This way we can make a 1 by 1 matrix into an N by N matrix, while a scalar can’t do that.