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if the man was pushed out of a plane , he survived becoz he had a parachute which he opened when he was pushed and that parachute help him in his survival!

Am i correct awsomenes!

We will solve this like :

$$4x=28$$ (now we will take 4 to the other side and devide by 28 )

$$x=28/4$$  (now deviding them both will give us our x)

$$x=7$$  $$ANSWER$$

i hope this helps!

8255³³ ≈ 1.785*10¹²⁹

The exact number has 130 digits, which the calculator on the home page here will give you if you really want them!

You want the least common multiple (lcm) of 64, 84 and 96.  One way to do this is first to find the prime factors of each number:

64 = 2⁶

84 = 2²*3*7

96 = 2⁵*3

Now multiply together the largest powers of all the prime factors that occur:

2⁶*3*7 = 1344 this is the lcm

So they are all fired together again after 1344 seconds

In Auatralia we usually call them trapeziums.

You are probably thinking of the approximation that sin(θ) ≈ θ when θ is very small.  But this only holds when the angle is in radians.  For example suppose θ = 0.1 radians (=5.73°)

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{5.73}}^\circ\right)} = {\mathtt{0.099\: \!840\: \!745\: \!983}}$$ 

So sin(0.1radians) = sin(5.73°) ≈ 0.1

Or sin(0.1radians) ≈ 0.1

    sin(5.73°) ≠ 5.73

This is true whenever you have the sin of a small angle, no matter the context.

Question:  0.04/12

Hi Dragon Slayer,  If you are going to do it using fractions this is how it is done.

Let's look at this

    0.04 = 4/100

Then, you change 12 into a fraction. 12=12/1       Correct

It is the second one you turn upside down. To divide by 12/1 you multiply by 1/12

    $$\mathbf{\textcolor[rgb]{0,0,1}{\frac{4}{100}\times \frac{1}{12}=\frac{4}{1200}=\frac{1}{300}}}$$

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Maybe it is easier to do it with decimals

$$\frac{0.04}{12}\\\\
=\frac{0.04\div 4}{12\div 4}\\\\
=\frac{0.01}{3}\\\\
=\frac{0.01\times 100}{3\times 100}\\\\
=\frac{1}{300}\\\\$$                $$OR\\\\
\begin{array}{rl}
&\;0.00333333\\
3&\overline{|0.010000}\\\\
\\\\\\\\\\


\end{array}$$

Hi DragonSlayer,

Yes that is what he said and it does not makes sense.

Regarding the information of this post: I recall in lectures that for angles less than (a small number of aproximation 13 degrees, the calculator should be in radians, of the top of my head. Was that regarding this wave formula or another area, or in general and can you elaborate please. Thanks.

4 cos ² x − 4 cos x − 1 = 0

$$let\;\;y=cosx\\\\
\begin{array}{rll}
4y^2-4y-1&=&0\\\\
4y^2-4y-1&=&0\\\\
\end{array}$$

$${\mathtt{4}}{\mathtt{\,\times\,}}{{\mathtt{y}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{y}}{\mathtt{\,-\,}}{\mathtt{1}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{y}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{2}}}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}{{\mathtt{2}}}}\\
{\mathtt{y}} = {\frac{\left({\sqrt{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}\right)}{{\mathtt{2}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{y}} = -{\mathtt{0.207\: \!106\: \!781\: \!186\: \!547\: \!5}}\\
{\mathtt{y}} = {\mathtt{1.207\: \!106\: \!781\: \!186\: \!547\: \!5}}\\
\end{array} \right\}$$

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}^{\!\!\mathtt{-1}}{\left(-{\mathtt{0.207\: \!106\: \!781\: \!186\: \!547\: \!5}}\right)} = {\mathtt{101.952\: \!855\: \!890\: \!702^{\circ}}}$$  this is the 2nd quad solution

Other one has not solution because -1<=cosx<=1

cos x is negative so it can be in the 2nd or 3rd quadrant

1st quad equivalent = 180-101.962

$$\left({\mathtt{180}}{\mathtt{\,-\,}}{\mathtt{101.952\: \!855\: \!890\: \!702}}\right) = {\mathtt{78.047\: \!144\: \!109\: \!298}}$$   

$$\left({\mathtt{180}}{\mathtt{\,-\,}}{\mathtt{101.952\: \!855\: \!890\: \!702}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{180}} = {\mathtt{258.047\: \!144\: \!109\: \!298}}$$    this is the 3rd quad soln

$$x\approx 180(2n-1)\pm\;78.047^0 \qquad \mbox{Where }n\in\;\;\mbox{integers}$$ 

I think that looks alright. 

Here is a good lesson on scientific notation.  See if you can work it out yourself.

Just divide both sides by 4 and your answer will magically appear!

sin(60°) is +(√3)/2, so we want to look for the quadrants where sin is negative.  These are the 3rd and 4th quadrants.  

In these quadrants sin(180°+60°) = -(√3)/2 and sin(360°-60°) = -(√3)/2.

So we have that 7x = 240° and 7x = 300°

x = 240/7 ≈ 34.29° and x ≈ 42.86° 

Of course we can also add multiples of (360/7)° to these.

What you wrote was mm.  This means millimetres; metres would just be m (1mm = 0.001m).  

Um I was doing calculations and my unit notation in meters for waves. Is that not correct? Or where in lies the difference. Thanks agian for a great reply and the time to answer. I have to absorb all that in case it pops up in the exam. Cheers.

Please do not post the same question twice.

If you become a member, which is very easy to do, then you can edit your question if you want to change something a little bit.  

$${\mathtt{0.8}}{\mathtt{\,\times\,}}{\mathtt{30}}{\mathtt{\,\times\,}}{\mathtt{0.45}}{\mathtt{\,\times\,}}{\left({\frac{{\mathtt{357\,586}}}{{\mathtt{3.14}}}}\right)}^{{\mathtt{0.5}}}{\mathtt{\,\times\,}}{\mathtt{0.453}} = {\mathtt{1\,651.001\: \!192\: \!954\: \!173\: \!023\: \!8}}$$

I just put it straight onto the site calc and this is your answer.

It is not 987.3

Yout question is ambiguous - you need to use brackets.

anyway just use the site calc.

This is one interpretation.

$${\frac{\left({\mathtt{3}}{\mathtt{\,-\,}}{ln}{\left({\mathtt{759}}\right)}\right)}{{\mathtt{8}}}} = -{\mathtt{0.454\: \!000\: \!222\: \!174\: \!453\: \!7}}$$

Sorry DragonSlayer, I have answered all your messages now. 

A different method/calculator will not help you, it is what it is, approximately 1651.

Check to see that you have typed it in correctly.

Thanks DragonSlayer but you need to learn how to explain it.  This can be very difficult to do but you should accept the challenge.  I shall give it a go.

Write this as 2sec²x - 2secx - 4 = 0

This factors as 2(secx + 1)(secx - 2) = 0

So secx = -1 and secx = 2

Given that sec = 1/cos,  can you take it from here?

Income to Tribune = $1.79x

Cost to Tribune     = $(0.74x + 982,000)

Profit = Income - Cost = $(1.05x - 982,000)

The following might help.

For a general quadratic of the form a*x² + b*x + c the maximum (or minimum) occurs at x = -b/(2a).  In this case that is -4/(-2) = 2.