All Answers 358181 Answers

70-80 million, as of last month.

I'm still holding out for the Law of Sines.

34' of arc means that the other angles of the triangle must be about 89.71 degrees.

$$\frac {Diameter}{sin 0.567}=\frac{92919800}{sin 89.71}$$

I get 919532.

Approximating the distance to the edge of the sun is the same as the other (frontal) distance.

Q2

$${\frac{{\mathtt{9}}{!}}{\left({\mathtt{2}}{!}{\mathtt{\,\times\,}}{\mathtt{3}}{!}\right)}} = {\mathtt{30\,240}}$$      permutations.

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Q5

KING      Big square photo of himself and Smaller square on of wife      Totally = 1865cm^2

QUEEN     Big square phot of herself and tiny square on of husband       Totally = 1865cm^2

The lengths of all the photos is an exact number of cm.

$$x^2+y^2=1865$$

We  can solve this with just a little sensible trial and error.

$${\sqrt{{\mathtt{1\,865}}}} = {\mathtt{43.185\: \!645\: \!763\: \!378\: \!368\: \!2}}$$

So for the  2 that are a long way apart one is are going to be just a little smaller than this number and the other will be little.

Try 43

$${\sqrt{{\mathtt{1\,865}}{\mathtt{\,-\,}}{{\mathtt{43}}}^{{\mathtt{2}}}}} = {\mathtt{4}}$$                                 ok so the first 2 queens ones are    4cm and 43cm

Now lets think about the 2 that are close together.  

think about     

$${\mathtt{2}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}} = {\mathtt{1\,865}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{{\sqrt{{\mathtt{1\,865}}}}}{{\sqrt{{\mathtt{2}}}}}}\\
{\mathtt{x}} = {\frac{{\sqrt{{\mathtt{1\,865}}}}}{{\sqrt{{\mathtt{2}}}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{30.536\: \!862\: \!969\: \!204\: \!940\: \!9}}\\
{\mathtt{x}} = {\mathtt{30.536\: \!862\: \!969\: \!204\: \!940\: \!9}}\\
\end{array} \right\}$$

okay so the two close together will be near 30

Try 30

$${\sqrt{{\mathtt{1\,865}}{\mathtt{\,-\,}}{{\mathtt{30}}}^{{\mathtt{2}}}}} = {\mathtt{31.064\: \!449\: \!134\: \!018\: \!134\: \!1}}$$

Try 29

$${\sqrt{{\mathtt{1\,865}}{\mathtt{\,-\,}}{{\mathtt{29}}}^{{\mathtt{2}}}}} = {\mathtt{32}}$$

Bingo, the Kings ones are   29cm and 32 cm

The King's pictures were    32cm x 32cm       and      29cm x 29cm

and

The queen's were              43cm x 43cm       and      4 cm x 4cm

$${\mathtt{a}} = \underset{{\tiny{\text{Error: Unknown Identifier}}}}{{\mathtt{a}}}$$

On the fifth column from left....you will see buttons like $$x^y,x^2,x^3$$

these buttons can help you set power without setting the power to , 2 3 or y...just type the number and click on them and press enter and there your work would be done!

That is different.

$${\mathtt{0.05}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\mathtt{1\,320}}$$

x= 26400

 Thanks for answering anon.

34' means 34 minutes and

1 minute is 1/60 of a degree so

34' =  $${\frac{{\mathtt{34}}}{{\mathtt{60}}}} = {\frac{{\mathtt{17}}}{{\mathtt{30}}}} = {\mathtt{0.566\: \!666\: \!666\: \!666\: \!666\: \!7}}$$    degrees 

This is bigger than the google value but not as much bigger as you thought.    :))

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tan(17/60)=r/92919800

r=tan(17/60)*92919800

d=2*tan(17/60)*92919800

$${\mathtt{2}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\frac{{\mathtt{17}}}{{\mathtt{60}}}}\right)}{\mathtt{\,\times\,}}{\mathtt{92\,919\,800}} = {\mathtt{919\,002.812\: \!968\: \!937\: \!2}}$$

diameter of the sun = $$9.19*10^5\;\; miles$$

I could have used sin if I wanted to the answer would have been close enough to the same.

Effectively that is what anon beneath here has done.  Only they did it using the sine rule.  Makes no difference. :)

According to google it is  $$8.64*10^5 \;\;miles$$     so my answer is ok.

$${\mathtt{201}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{100}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{299}}{\mathtt{\,\times\,}}{{\mathtt{y}}}^{{\mathtt{199}}}$$

It is easier if you take the arithmetic sequence of each number individually. For instance, the first coefficients 3 and 5. You can see that the difference is 2.

For the arithmetic sequence, since a constant amount is added to each progression use:

A_n=A₁+2(100-1) ;A₁ would be the beginning term.

i'd have the lights one.......the other one is kinda bit formal.....its good with family......but i like lights more

wau?

6p-15 dollars

trying to figure out what someone makes if they make 5 cents out of every dollar and get 1320 dollars

66

if this is a ratio.

A square does not have a radius !

Question makes no sense

maybe this will help

$$cos 2\theta=cos^2\theta-sin^2\theta$$

and that is the difference of 2 squares. 

$$\frac{30g}{cm^2}\div 10cm^2\\\\
=\frac{30g}{cm^2}\times \frac{1}{ 10cm^2}\\\\
=3gm/cm^4$$

If you google parabola and go for pictures you will see lots of them.  They are vaguely u-shaped.

Hi Rosala,

tutor?

there are several sites found by just googling.

Well you could use Desmos but you would have to generate yourown table from the values on the graph.

Umm of hand I do not know of a specific one.

You can't generate the graph without either a table or a function so why wouldn't you get your table directly from the function?

I'd probably use excel for this 

In microsoft excel you have to generate the table from the function THEN you can graph it from the table. 

nvm,  the pulldown |help|

a truck with a 16-inch radius wheels is driven at 77 feet per second. find the measure of the angle through which a point on the outside of the wheel travels each second.

one revolution = 2pi*r = 32pi     inches

77 feet = 77*12 = 924"

$$\\\frac{924}{32\pi}\approx 9.19 \;\;rev/sec\\\\\\
\frac{924}{32\pi}\times 2\pi=57.75\;\; radians/sec$$

Rounded to the nearest

Hundredth  4.33

Tenth  4.3

Whole number 4

Since the actual angle that the sun subtends is 0.53 degrees, you are going to get a v. large and different number (using 34 degrees).

You can use the Law of Sines or the Pythagorean Theorem (with certain assumptions).

cos (x/2 + 20°) = 0.39 for 0° < x ≤ 720°

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}^{\!\!\mathtt{-1}}{\left({\mathtt{0.39}}\right)} = {\mathtt{67.045\: \!500\: \!598\: \!607^{\circ}}}$$

$$\\\frac{x}{2}+20 = 67^0, (360-67)^0=293^0\qquad $to the nearest degree$\\\\
\frac{x}{2}=57^0\;\;or\;\; 273^0\\\\
x=114^0\qquad or \qquad 546^0$$

$$\left({\frac{{\mathtt{8}}}{{\mathtt{9}}}}\right){\mathtt{\,\times\,}}{\mathtt{100}} = {\frac{{\mathtt{800}}}{{\mathtt{9}}}} = {\mathtt{88.888\: \!888\: \!888\: \!888\: \!888\: \!9}}$$

$$88.\bar{8}\%$$

= 88.89%     to the nearest 100th of a percent.