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Math and Arithmetic

Math is the study of abstractions. Math allows us to isolate one or a few features such as the number, shape or direction of some kind of object. Then we can study what can be learned about the behavior of those features while ignoring everything else about the object.

893,875 Questions

1.26666667 as a fraction?

As an improper fraction: 126666667/100000000. As an improper fraction: 1 26666667/100000000. The denominator has as many zeroes as the original decimal as digits after the decimal point.

What would be the interest on 231700 at 3 percent per annum for 5 years and 7 months?

Assuming Compound Interest

I(n) = I(0)[1 + r/100]^(n)

Where

I(o) is 231700

r = 3%

n = 5urd 7 mths ( 5.58333....._

Substitute

I(5.583333...) = 231700[1 +3/100]^(5.58333333....)

I(5.583333...) = 231700[1.03]^(5.58333333....)

I(5.583333...) = 231700[1.179436339.... ]

I(5.593333...) = 2732753998...

So interestearned is 41575,3998... ~ 41575.40

What is sahcahtoa?

Soh, Cah, Toa is an 'aide memoire', for remembering the three trigonometric functions.

Soh ; Sin(angle) = opposite/ hypotenuse.

Cah ; Cos(angle) - adjacent/hypotenuse.

Toa ; Tan(angle) = opposite/ adjacent.

What is the very last number?

Numbers are infinite, they cannot be measured.

someone else said infinite the real last number is novemtrigintilion cause infinite is not a real number.and if you dont trust me look at this this is how much digits are in novemtrigintilion 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 and add another thousand zeros

How do you find the hypotenuse if you know one leg and one angle?

Remember the Trig. Functions.

Sin(Angle) = opposite / hypotenuse.

Hence algebraically rearranging.

hypotenuse = opposite / [Sin(angle))

NB You MUST know the length of the 'opposite', and the size of the angle.

So if the opposite is of length '2' and the angle is 30 degrees.

Then substituting ;=

hypotenuse = 2 / Sin(30)

From Tables or calculator 'Sin(30) = 1/2 = 0.5'

Hence

hypotenuse = 2 / (1/2) or 2/(0.5)

2/(1/2) = 4 or 2/0.5 = 4

Hence the hypotenuse is '4' units in length.

What year do you have to be born to 13?

To reach your 13th birthday in 2017 - you would have had to be born in 2004.

What is the shape for an angle half turn?

An angle that has undergone a half turn measures 180 degrees. In terms of geometric representation, this can be visualized as a straight line, where the two rays of the angle point in opposite directions. This configuration divides the plane into two equal halves.

Conversion of ton to metric ton?

The formula used to convert tons to metric tons

1 t * 1 metrictons

1.1023 t = 0.90718474 metrictons

What is a 107 degree angle called?

OBTUSE /

Less 90 degrees ; ACUTE

90 degrees ; RIGHT ANGLE

Obtuse greater than 90 degrees but less than 180 degrees

180 degrees arc swept by a point on a straight line

REFLEX ; greater than 180 degrees but less than 360 degrees. ( The 'outside' of an acute or obtuse angle)/

Is 10.63 greater than 10.7?

NO!!!

To compare decimals

10.63 & 10.7

Bring both numbers to the same number of decimal places. Two in this case, by inserting a suffix '0'.

Hence

10.63 & 10.70

Drop the Decimal point

1063 & 1070

Drop the prefix '10'

63 & 70

You should recognise that 63 < 70 Hence it follows that 10.63 < 10.7

What is the value of the number 8 in 784?

'8' is in the TENS xolumn , so it would be Eighty.

NB 784

7; hundred as it is the Hundreds column

8 ; as above

4 ; is in the UNITS column

What i the solution to this inequality x- 25 is less than or equal to 33?

Just add 25 to both sides of the inequality - that way, you will isolate the "x", i.e., solve for "x".

Is negative 3.8 a rational number?

YES!!!!

NB -3.888.... ( recurring to infinity) is also rational.

All numbers are rational except those decimals that recur to infinity AND the decimal digits are NOT in any regular order. .

Example of a rational decimals 0.123123123.... Digits are in a regular order.

Examplkes if irrational numbers.

'pi' = 3.141592....

'e'= 2.71828....,

sqrt( prime numbers).

sqrt(2) = 1.414213562.....

NB An irrational number means it cannot be converted to a ratio/fraction.

1-8-27-blank-125-216 what is the missing number?

'64'

1, 8. 27 . x . 125 . 216.

1^(3) , 2^(3) , 3^(3) , 4(3) , 5(3) , 6^(3) , .... n^(3) .

What is dividend in math?

The dividend is the number being divided. In a fraction, the top number is the dividend and the bottom number is the divisor.

Is 6.08 equal to 6.80?

NO!!!!

To compare decimals

6.08 & 6.80

First drop the decimal point

608 & 680 You should be able to recognise that 608 < 680. Hence it follows that 6.08 < 6.80

When you subtract one square number from another square number the answer is 7 What are the 2 square numbers?

Let the squares be 'x' & 'y'

Hence

x^(2) - y^(2) = 7

Factor

( x - y)( x + y) = 7

Since '7' is a prime number, we need two number that add to '7' and subtract to '1'.

They are 3, & 4

Hence

(4 - 3) ( 4 + 3) =

1(7) = 7

What are two square numbers added together which equal another square number?

Algebraically, this is written as

a^(2) + b^(2) = h^(2) (The Pythagorean eq'n).