kitty<3

Hello Itoen,

You can use the Pythagorean Theorem  $${{\mathtt{a}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{b}}}^{{\mathtt{2}}} = {{\mathtt{c}}}^{{\mathtt{2}}}$$ to solve for the diagonal of a rectangle:)

A diagonal divides the rectangle into 2 congruent right triangles.

The sides 5 and 12 would be a and b, and c would be the longer side (the diagonal)

So  $${{\mathtt{5}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{12}}}^{{\mathtt{2}}} = {{\mathtt{c}}}^{{\mathtt{2}}}$$

Simplify.

169 = c²

c = 13

50*6/10-6+32

To make sense of this problem, you would need to use the Order of Operations: Parentheses first, then Exponents, then Multiplication/Division, then Addition/Subtraction.

Provided there are no parentheses in this problem, multiplication and division would be first.

So: 50 * 6 / 10 = 30

Then addition/subtraction:

 30 - 6 + 32

Final answer: 56 

I've just answered it; look at your previous question:)

So you start out with:

 5.6x+2=4.6x

Move the variable to one side. You can do this by subtracting 5.6x from both sides.

2 = (4.6x - 5.6x)

Simplify.

2 = -x

x = -2

There is a formula for calculating the sum of the interior angles of a polygon : $${\mathtt{S}} = {\mathtt{180}}{\mathtt{\,\times\,}}\left({\mathtt{n}}{\mathtt{\,-\,}}{\mathtt{2}}\right)$$ where s is the sum and n is the number of angles in the polygon.

Using this formula, find the sum of a 7-sided polygon (septagon):

S = 180 (7-2)

S = 180 * 5

S = 900 degrees.

On this site's scientific calculator at least, just press "Enter" twice, and the second time the answer will be in scientific notation.

The formula for circumference is:  $${\mathtt{C}} = {\mathtt{\pi}}{\mathtt{\,\times\,}}{\mathtt{d}}$$ where d is the diameter of the circle.

Therefore, plug in 4 for d, and the circumference would equal  $${\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{\pi}} = {\mathtt{12.566\: \!370\: \!614\: \!359\: \!173}}$$ . You can write this either as 4 pi or round the decimal.

The formula for area of a circle is: $${\mathtt{A}} = {\mathtt{\pi}}{\mathtt{\,\times\,}}{{\mathtt{r}}}^{{\mathtt{2}}}$$ where r is the radius of the circle. Since radius is half of the diameter, the radius of this circle = 2

And 2² is still 4. So the area would be 4 pi as well, about  12.57.

The difference between the two values for circumference and area of this circle is their units. Area is in units squared.

Since 75% is the same as 0.75 (< the decimal form), simply multiply 420 by 0.75.

$${\mathtt{420}}{\mathtt{\,\times\,}}{\mathtt{0.75}} = {\mathtt{315}}$$

The Pythagorean Theorem is named for the Greek mathematician Pythagoras.

It uses the equation   $${{\mathtt{a}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{b}}}^{{\mathtt{2}}} = {{\mathtt{c}}}^{{\mathtt{2}}}$$    to solve for lengths of a right triangle's sides, given two sides and one unknown.

A and b would be the lengths of the triangle's legs (two shorter sides) and c would be the length of the hypotenuse (longest side, diagonal to legs).

You can read more about it here:

http://www.purplemath.com/modules/pythagthm.htm

As SckSniper stated earlier, it would certainly help if you made your question more specific. 

SckSniper explained the Pythagorean Theorem, which is related to trigonometry and triangles, but good try:)

The Quadratic Formula is  and helps solve for x with a quadratic equation in the standard form: $${{\mathtt{ax}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{bx}}{\mathtt{\,\small\textbf+\,}}{\mathtt{c}} = {\mathtt{0}}$$

You can read about it here: http://www.purplemath.com/modules/quadform.htm