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And everyone likes Banana "Pi"......

3+8=11

3+8=11

A power of a half means square root so

$$25^{1/2}=\sqrt{25}=5$$

lOOK HERE

YES that sounds right !    Excellent logic there   LOL

(5x-3)^2+6(5x-3)  =

(5x - 3)(5x - 3  + 6) =

(5x-3)(5x + 3)  =

25x^2 - 9

None...they don't even allow fresh fruit in.........

You have it upside-down Anonymous!  The slope is (y2 - y1)/(x2 - x1), so (6 - 8)/(6 - (-4)) = -2/10 = -1/5.

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If the sin is 5/12 in the second quadrant, then x = -√[12^2 - 5^2] = -√119

So, the cosine = -√119 / 12 ....  and the tangent =  - 5/ √119 

$$\\y=kx\qquad $Where k is the constant of variation$\\\\
4.5=k*-1.5\\\\
4.5/-1.5=k\\\\
k=-3\\\\
check\\\\
-3*2.8=-8.4\quad $Yes that is what it needed to be $$$

First use sin^-1(5/12)  (or asin(5/12) which is the same thing).  This will give an angle in the first quadrant. 

Next subtract this angle from 180°, to give an angle whose sine is also 5/12.

Then use cos and tan on this angle (you should find that both cos and tan values are negative).

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Maybe you might like to watch this video

What is the given event?!!!!!

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The ball will displace its own volume of water, namely (4/3)*pi*4^3 cubic inches.

This will appear as an increase in height, h, of the water in the tank such that pi*(20^2)/4*h =  (4/3)*pi*4^3

or h = (4/3)*4^4/20^2 in.

$${\mathtt{h}} = {\frac{\left({\frac{{\mathtt{4}}}{{\mathtt{3}}}}\right){\mathtt{\,\times\,}}{{\mathtt{4}}}^{{\mathtt{4}}}}{{{\mathtt{20}}}^{{\mathtt{2}}}}} \Rightarrow {\mathtt{h}} = {\mathtt{0.853\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

so h ≈ 0.853 in.

(Note: The cross-sectional area of the tank is given by pi*diameter^2/4).

With a quadratic equation there are always two roots (though one might be repeated), so, if x1 and x2 are the roots, then the equation could be expressed as y = (x - x1)*(x - x2)  or y = -(x - x1)*(x - x2).  You would need extra information to determine which of these two it is (one is concave up, the other is concave down).

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Why Natthada?

This is a teaching site.  Just giving answers doesn't help people to learn .  Maybe you could explain a little?

Anon if you want more of an explantion it is up to you to ask for it.

According to Wikipedia, the land area of Canada is about 3,500,000 sq mi   Sweden is about 158,000 sq mi

So   3,500,000 / 158,000 = about 22 Swedens could fit into Canada

We need to calculate the time for the stone to fall...we have

-9.5 = -4.9t^2      divide both sides by -4.9

1.94 = t^2            take the square root of each side

t = 1.39 secs.

Since sound travels at 343m/s...the time for the sound to travel back up the well =  9.5m / 343m/s  = about 0.028 sec.

So the splash is heard [1.39 + 0.028 ] = about 1.418 seconds after the stone is dropped

17, 576,000 / 260,000  = 67.6.... I LOVE my maths  

We can calculate this by first finding a side length, s ....we have

43.3 = (1/2) s^2 (sin 60)  =

43.3 = (1/2) s^2 (√3/2)      mutiply both sides by 4/√3

(43.3)(4/√3) = s^2        take the square root of both sides

s = about 10

So the altitude is (10/2)√3  = 5√3  = about 8.66 linear units

Check......  (1/2)bh = (1/2)(10)(5√3)  = about 43.3

Sometimes, this is difficult....for instance, let's suppose that someone told you the zeroes of a function were 0 and 2

The volume held by the hemisphere is

(2/3)pi*(2 in)^3  =  (16/3) pi  in^3

And the cylinder holds twice as much, so....

(32/3)*pi in^3  = pi * (1.25 in)^2 * h      where h is the height  ...   divide both sides by pi

(32/3) in^3 = 1.5625 in^2   * h       solve for h

Height of cylinder  = (32/3) in^3 / 1.5625 in^2   = about 6.826 in

by the way, you could delete the 0s from the answer and it'll still be correct

lol all you have to do is make it into a decimal so that there is only one digit before the decimal, in this case you would only leave the nuumber "1" before it and then the rest of the digits behind the decimal. Then you would count the ammount of times you would need to move the decimal over from after the digit before the decimal (in this case number 1) to behind the last digit (in this case 0). Once you find this number, you square it to 10.

Answer: 1.433000000 x 10^9