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Yes the hypotenuse is always the same......it is the longest side of a right triangle.

The OTHER two sides are called LEGS. (or sometimes just 'sides')

~jc

The easiest way for you to determine is to multiply them ALL by 100.

A. .1 X100=10,   .01 X 100=1

B. .8 X 100=80    .91 X 100=91

Now, you can decide which is greater in each category.

IF it is compounded ANNUALLY, then

fv=pv(1+i)^n     fv=future value  pv=present value (7000)    i=interest in decimal form (.051) and n= number of periods (18)

fv=7000 (1 + .051)^18 =  $ 17137.48

~jc

56

2 x 28

2x2x14

2x2x2x7

2 * cubic root(7)

Sorry....didn't know what you needed

I need it in radical form

C'mon,   use the calculator to get   

3.8258623

700/12=58.33kph-Brittany's average speed from A to B

700/14=50.00kph-Brittany's average speed from B to A

58.33 - 50=8.33kp-differnce in speed due to wind

But it slowed her down by 2 hours, therefore this slowdown is due to:

8.33/2=4.16 kph- being the wind speed.

Thanks, jc........here's another way

Let r be Brittany's normal rate   and w be the  wind speed....and Distance / Rate = Time....so......

700 /[ r + w]  =  12  →  700  = 12r + 12w  →  700 - 12r  = 12w   → [ 700 - 12r]/ 12    = w   (1)

700/ [r - w] = 14    (2)

Substituting (1)  into (2)  for  w, we have in the denominator

r - [700 -12r] / 12    =   [12r - 700 + 12r]/12   =  [24r - 700] / 12 .....and we have

700  / ([ 24r - 700] / 12)  = 14

12* 700  =  14 [ 24r - 700]

26(700) = 14*24r     and solving for r, we have

r = 54.167 km/hr

And the wind speed is given by :

w =   [700 - 12(54.167)'] / 12   = about 4.166  km/hr

Do you mean  tan ( (-1)(6)(91) )    ??

                        tan (-546) =   - .1051

or INVERSE tan (6*91)

= arctan (546) =   89.895 degrees   

Heck, you MIGHT mean  arctan(6)  *91  =  7328.92

~jc

In it SIMPLEST form, divide both sides by '12' to get

5:6

~jc

Fair enough Hayley.

Also, sometimes posts disappear temporarily when they move from the first page to the second page.

Maybe it happens other times too.  I don't understand why but I know that it happens.  

If you have the address then it comes up fine but if you are just searching visually it simply is not there.   :(

Find common denominator to compare

19/50         2/5 * 10/10 = 20/50

Now is 19/50 > 20/50    ???   I think NOT!

~jc

thanks i have a lot of trouble with this type of math it really helped thanks alot

12/15=4/5-miles-average speed per minute(not acceleration).

It is good to see you ~jc,  The children have been pining over your absense. :)

I mean there is 'zero' acceleration if there is no change in velocity (constant velocity)

what do u mean?

OK.......Chris and I found a couple of issues with your question....    95% is not 'pure'

and 75% is disinfectant level conc....but you asked for 70%.....

Hence our different answers.....  Pick the one you need...Haha

Interesting you asked for 70 % ethanol and not 75%

v= volume needed of 95%   then 500-w  is the amount of water needed

.95 (v)  = .70 (500)       (since the AMOUNT of ethanol is the same before and after)

.95v  = 350

Solve for v       

v= 368.42

So you'll need 500 - 368.42 water = 131.58 ml

~jc

Pure ethanol  couldn't have a concentration of "95%"....if it's pure, it's 100% ethanol....!!!!

And pure water has a concentration of  0%  ethanol  .......so.....let the amount of pure ethanol to be mixed = x

And....the amount of pure water = 500 - x .......and we have....

100x + 0 (500 - x)  = 70 (500)

100x  = 35000    divide both sides by  100

x = 350 ml  of pure ethanol 

And the amount of water  = 500 - 350  = 150 ml

From A to B   Rate = 700/12 = 58.33   This equals her speed PLUS wind speed

(assuming the wind speed is added to her speed and subtracted from her speed)

From B to A    Rate = 700/14 = 50 km/hr  this equals her speed MINUS wind speed

Bike + wind = 58.33

Bike - wind = 50.

Add them together

2 bike = 108.33

Bike speed = 108.33/2 = 54.17 km/hr

Bike + wind = 58.33

54.17 + wind = 58.33

Wind speed = 58.33- 54.17 = 4.16 km/hr

~jc

I see guest says it is 120....

120=2*60

=2*2*2*30

=2*2*2*2*15

=2*2*2*2*3*5

factors

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120   I get 16 factors.....are some of them wrong.  

Mmm i guess my logic was up the  creek.  I now think the answer must be less than 120 ....

Thanks Guest.   

We've been through this before....acceleration is a CHANGE in Velocity.....no change in velocity, no acceleration.

~jc

cos (3z + pi) = 0      using a trig identity, we have :

cos(3z)cos(pi)  - sin(pi)sin(3z)     =  0

-cos(3z)  = 0

cos(3z)  = 0

cos(z)  = 0   at   pi/2 + n*pi

So

3z  = pi/2 + n*pi       divide both sides by 3

z = pi/6  + n* (pi/3)   where n is any integer

Circumference=Diameter X Pi

Diameter=Radius X 2