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The formula for the area of a triangle is : A = ba/2

25 cm² = ba/2     Multiply both sides by 2

50 cm² = ba

Any triangle where base*altitude= 50 cm². I choose base = 2 cm and altitude = 25 cm.

The formula for the area of a triangle is base x height x 0.5.

We can use any size base and then use algebra to find out how high the triangle should be.

Base 6

Height x

$${\mathtt{6}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\times\,}}{\mathtt{0.5}} = {\mathtt{25}} \Rightarrow {\mathtt{x}} = {\frac{{\mathtt{25}}}{{\mathtt{3}}}} \Rightarrow {\mathtt{x}} = {\mathtt{8.333\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

Now we know that a triangle with area 25 and base 6cm is 8.3cm high.

You can replace the height and base number with any real positive number.

Now you have 3 points. The two points and the edges of the base line, and at the top of the height line. Now just join them up to get a triangle.

Does the problem look like this?      $$-3 - (-6) + 5^{4}$$

If so, simplify the - (-6) to get +6

And $$5^{4}$$ means 5 x 5 x 5 x 5  =  625

So, you have:  -3 + 6 + 625  =  628

Is there a picture to go with this?

A square root is a mathematical operation where you find two of the same numbers which multiply together to give the number you are square rooting.

Example 1:

The square root of 16 is 4 and -4 because 4x4 is 16 and -4x-4 is 16.

Because the square root of 16 is an integer (whole number), it is a square number. 9,49,25,36 are all examples of square numbers.

Example 2:

The square root of a non square number will be a decimal. The most noteable example of this is root 2, which is an irrational number (a number that does not terminate)

Example 3: 

The square root of a negative number is impossible to do normally because to get a negative number by multiplication requires a negative and a positive number, meaning that the 2 numbers are not equal so you can't have a negative square root. Normally. This is where the complex number i comes in. i^2 = -1. Using i allows you to get a answer for negative numbers.

root -16 = 4i

root -36 = 6i

Take the number 700. Increase it by 60%, then decrease the result by 60%. What is the final resulting number?

700*1,6 = 1120;  1120*0,4 = 448

So the answer is 448.

We observe that:

x(1+y)(1-y) = x(1 -y²)

x(1+0,01y)(1-0,01y) = x(1 - 0,0001y²) = x(1 - 0,01*y²)

So, if you increase a number by y %, and the decrease it by y %, you, in effect, decrease the number by 0,01*y² %.

A 'square root' is a number, which when multiplied times itself, will give you the original number.

The square root of  4  will be  2  because  2 x 2  =  4.

The square root of  81  will be  9  because  9 x 9  = 81.

Square roots don't have to be 'nice' numbers; for example the square root of  47  is: √47 = 6.8556546...

an irrational number, a number that can't be written as a common fraction and, when written as a decimal, has decimal digits that do not repeat and do not end.

Deep inside, we're all Beyoncé.

>.>

The constant term is the term that has no variables attached to it.

The term with no variables attached to it is  17.  Thus,  17  is the constant term.

When increasing a number by a percentage, you essentially find 100% + the percentage. In this case, 100%+60%=160%. As a decimal, this would be 1.6.

So

$${\mathtt{700}}{\mathtt{\,\times\,}}{\mathtt{1.6}} = {\mathtt{1\,120}}$$

This is 700 increased by 60%

When you decrease a number by a percentage, you are finding 100%-percentage decrease. In this case 100%-60%=40%. As a decimal this would be 0.4

So

$${\mathtt{1\,120}}{\mathtt{\,\times\,}}{\mathtt{0.4}} = {\mathtt{448}}$$

The original number is 700.

To increase it by 60%: find 60% of 700 and add this amount to 700:

     60% of 700   ===>   .60 x 700  =  420

     adding this to 700, the total is now 1120.

To decrease this amount by 60%: find 60% of 1120 and subtract this amount from 1120:

     60% of 1120   ===>   .60 x 1120  =  672

     subtracting this from 1120, the final amount is 448.

Increasing an amount by a certain percentage and then decreasing that amount by the same percentage results in a smaller answer than what you started with because the amount that you subtract is more than what you add. 

yes anyone can

This is a very broad question. 

There are a lot of sanity tests in mathematics. 

If you multiply a lot of natural numbers, where one of the factors is even, the product must be even. 

If you multiply a lot of natural numbers, where one of the factors is divisible by three, the product must be divisible by three, and hence, the digit sum divisible by three. 

Be careful with units. "Newton" is force, not energy. 

(10)^(1/10)    or    (2)^(1/3)  ?

(10)^(1/10)  =  (10)^(3/30)  =  (2)^(3/30) x (5)^(3/30)

(2)^(1/3)  =  (2)^(10/30)  =  (2)^(3/30) x (2)^(7/30)

Remove the common factor of (2)^(3/30), so now the comparison is between  (5)^(3/30)  and  (2)^(7/30).

Since they are both 30th roots, take the 30th power of each and compare  (5)^(3)  and  (2)^(7).

5^3  =  125   and  2^7  128.  (I didn't use a calculator, but I did use my fingers.)

Since  128 > 125,      (2)^(1/3)  is slightly larger than (10)^(1/10).

Remember that kilo means 1000.

1 Kg = 1000 g

1 g = 1/000 of a Kg 

1 g = 0,001 Kg

Thus:

30 g = 0,03 Kg

Personally, I call it the "zero point zero rule" aka 0,0-rule: When you got any "tens of" any unit (grams, meter, joul etc) you just add "zero point zero" to get its "kilo"-equivalent. 

47 g = 0,047 Kg

99 m = 0,099 Km

71 J = 0,0 KJ

four fifths  is  4/5;

so  8 x 4/5  =  32 / 5  or  6 2/5

If you want a decimal:

4/5  = 0.8

so  8 x .8  =  6.4

-1/2 - 1/3·w  =  3/5     is the same as     -1/2 - w/3  =  3/5  

It usually is easier to solve equations if they have no denominators; a common denominator of  -1/2,  -1/3, and 3/5  is  30  (because 2 x 3 x 5  =  30); so multiply each term by  30:

30(-1/2) - 30(w/3)  =  30(3/5)

-15 - 10w  =  18

Add 15 to both sides:

     - 10w  =  33

Divide by -10:

          w  =  -33/10    or  -3.3

$86.00 per month for 12 months will be $1032.00 in one year.  (86 x 12)

The numbers that you have are:  1,  2,  4,  8,  ...

A geometric sequence is one that has a common ratio, a number that can be used to multiply a number to get the next number.

In this case, you have a common ratio of 2; therefore, this is a geometric sequence.

Another way to look at this sequence is by finding the ratio of successive terms:

2/1,  4/2,  8/4,  ...  Since this ratio is always  2, this is a geometric sequence.

2  =  √( 22 - 8x )

To get rid of the square root, square both sides:

( 2 )²  =  [ √( 22 - 8x ) ]²

Squaring removes the square root:

4  =  22 - 8x

Subtract 22 from both sides:

-18  =  - 8x

Divide by -8:

x = -18 / -8  =  9/4

umm... by using a calculator

Ok kcool an hey XD

Which thing is larger ???

(10)^(1/10)   or  (2)^(1/3)   ????

No calculators allowed !!!

Show your "workings".......

Didn't solve it!

Tried with:

10^(1/10) = ¹⁰√10  = ¹⁰√(2*5) = (¹⁰√2)(¹⁰√5) = (^(5*2)√2)(^(5*2)√5)= [ √(⁵√2) ][ √(⁵√5) ] 

2^(1/3) = ³√2

. . .it appears that some people might have a little too much free time on their hands

You are right, CPhill. It looks like the free time they had back then carried into the future. 

It's a poo question.......only poo mathematicians will be able to solve it correctly.......all other answers will be poo-poo'd by the poo crowd.......

Sincerely,

Sir Cphill

(Searcher of the Zero)