Tan = o/a

Tangent of an angle = opposite over adjacent.

Here are the other Trig. functions.

SINe(angle) = opposite/hypotenuse

COSine(angle) = adjacent/hypotenuse

COTangent(angle) = adjacent/opposite

Cosecant(CSC)(angle) = hypotenuse/oppositre

SECant(angle) = hypotenuse/ adjcent.

Remember there are 10 mm = 1cm

So in 50mm = 5 cm.

Here is the Table of Metric Linear Measurement.

10 mm = 1 cm

100 cm = 1m

1000 m = 1 km.

9 feet. 9 ft = 108 in.

Being a right- angled triangle apply Pythagoras.

h^2 = a^2 + b^2

Hence

b^(2) = h^2 - a^2

b^(2) = ( h + a)(h - a)

b^2 = (122 + 22)( 122 - 22)

b^2 = 144(100)

b^2 = 14400

b = sqrt(14400) = 120 .

A decimal number is simply a way of representing a number in such a way that the place value of each digit is ten times that of the digit to its right. A decimal representation does not require a decimal point. So the required decimal representation is 86, exactly as in the question.

Are we talking logarithms or Binary . Please clarify!!!!

First find the Exterior angle = 360 / n (No. of sides)

Hence

Exterior angle = 360/19 = 18.947... degrees

Hence the Interior Angle is 180 - 18.947... = 161.05263...

Hence for 19 sides.

19 X 161.05263... = 3060 degrees.

Let the number be 'm' & 'n'

Hence mn = 88

m + n = 18

m = 18 - n

Substitute

(18 - n)n = 88

18n - n^2 = 88

n^2 - 18n + 88 = 0

This does not readily factor so apply the Quadratic Eq'n.

n = { --18 +/-sqrt[(-18)^2- 4(1)(88)]} 2(1)

n = { 18 +/- sqrt[324 -352]} / 2

n = { 18 +/-sqrt[-28]} / 2

This is unresolved as you cannot take the 'square root; of a negative number.

slope, m = y2 - y1/ x2 - x1 = 5 -5/ 5 - (-4) = 0/9 => m = 0

x2 - 3 doesn't factor neatly. Applying the quadratic formula, we find two real solutions: Zero plus or minus the square root of three.

x = 1.7320508075688772
x = -1.7320508075688772

x^2 - 5x - 6

Since the coefficient of 'x^(2)' is '1' in this case. we look at the constant '6' .

So write down all the factors of 6' . They are 1,2,3,&6.

From these four number we select two numbers that add/subtract to '-

So if we say -6 + 1 = -5 5'. The coefficient of 'x'

Since 6 - 1 = 5 & 2 + 3 = 5 We need to think a little deeper. So we look at the mathemetical signs , which in this case are both negative (-).

Since the sign in front of the '6' is negative, this means that the signs in the brackets are different. NB If it was a possitive both the signs in brackets would be the same either both (+) or both (-).

So to have a '-5' we can say -6 + 1 = -5

So setting up the brackets

( x 6 )(x 1) So the signs will be

(x - 6)( x + 1)

Done!!!! Hope that helps!!!!

Convert the 'feet' to 'yards'

Then multiply the yards together.

Hence

Remember there are 3 feet = 1 yard.

So 18 feet = 6 yards

12 feet = 4 yards.

6 yds X 4 yd = 24 sq.yds.

sqrt(25/81) = +/- 5/9

x + 16 < 15

Subtract '16' from both sides

x< 15 - 16

x < -1

Verification

When x = -2

Then -2 + 16 = 14 < 15

a^(3) - b^(-3) =

a^(3) - 1/b^(3)

This factors to

(a - 1/b)(a^2 + a/b + (1/b)^2))

112

The circumference of a circle is the perimeter of the circle for a given diamater.

NO!!! The word 'perpendicular' means that the lines intersect at 90 degrees (right anhles).

5/6 - 3/8

Subtraction of fractions.

Steps to take : -

#1 ; Convert to improper (top heavy) fractions. Not required in this case.

#2 ; Bring to a common denominator; 6 X 8 = 48

#3 ; Bring the numerators to the equivalent values for a denominator of 48.

#4 ; Subtract the numerators

#5 ; Place the numerator over the denominator

#6 ; Reduce the fraction to its lowest terms.

Hence

#1 ; Not required in this caser , as there are no whole number coefficients.

#2 ; 4 x 8 = 48

#3 ; 5 x 8 = 40 & 3 x 6 = 18

#4 ; 40 - 18 = 22

#5 ; 22/48

#6 ; 11/24 The ANSWER!!!!

NB For addition of fractions, complete the same steps , except at #4 , where you add the numerators.

NNB Multiplication and division of fractions has a different 'steps to take' structure.

an extraneous solution.

6x^2 + 11x + 4 is a Quadratic Statement.

It is NOT an equation, because there is no 'equals' (=).

It will factor to

( 3x + 4)(2x + 1)

The interior angles of a regular or irregular polygon with 29 sides add up to 4,860 degrees

(\frac{1}{z})^{min(\frac{x-2\sqrt{xy}+y}{2})} = 1

A Recurring Decimal.

There are two typeso recurring decimals. . They are Rational nad Irrational.

Rational decimals can be converted to a quotient(fraction) e.g.

0.3333... = 1/3

Irrational deciamsl CANNOT be converted to a Quotient (fraction).

e.g. 3.141592....

NB For recurring decimals always place at least three dots after the last decimal to indicate . 'to infinity'.

6.825.... per calculator.