All Answers 356329 Answers

A "slick way" to answer this question, is to label the three sides of the triangle, \(x, y, z\) . Then, we have \(x^2+y^2+z^2=1800\), but we know that \(x^2+y^2=z^2\) in a right triangle, so we have \(z^2+z^2=1800\) or \(2z^2=1800\), and \(z^2=900, z=30\) .

Thus, the length of the hypotenuse is \(\boxed{30}\) .

For, problem 2, I suppose you are including the numbers in between.

I suggest you using a strategy called "complementary counting," subtracting the unwanted from the total.

We can first check the multiples of nine are between 1 and 1000, which is from 9 all the way up till 999, and that is 111 integers.

There are a total of 1000 numbers, and the answer should be \(1000-111=\boxed{889}\) integers.

18 24 30 is a possibility.  (a multiple of 3-4-5 common rt triangle)   Hypotenuse = 30

Thanks!

what is the answer to life the universe and everything:
42

\(-\frac{1}{3}+2z=-\frac{5}{6}\\ -\frac{2}{6}+2z=-\frac{5}{6}\\ 2z = -\frac{3}{6}\\ 2z = -\frac{1}{2}\\ z = -\frac{1}{4}\)

18-12 = 6         6 / 4 = + 1.5

20 would be 2 S.D. away from the mean     12 + 2 S.D. = 12 + 2(4) = 20

Here is my take:

Generally, you  have ASSETS and LIABITIES.....

Assets are positives and are weighed against negative LIABILITIES to calculate your NET WORTH

Borrowing money increases your LIABILITY

.Her LIABILITY went up 20    liabilities are a negative......she now OWES 20 to her dad.,,,,,,

JUst use a graphing calculator or website to graph the two fxns..... where the graphs intersect is the solutions to the system of equations

Here is desmos:

-x^2+3x+8 = 2x+2    rearrange

0 = x^2 -x-6     factor

(x-3)(x+2) = 0    means x = 3 and -2

Sub into one of the equations to find the y values    x = 3  y = 8        x = -2  y= -2     (using equation  y = 2x+2)

Thanks, tertre   !!!

(.45) (.45)  =  .2025

So....the last answer is correct

.

thanks

"D"   is correct....

(always good to commit to memory the values of the standard bell curve...as shown above)

Similar Q has been posted multiple times.    One standard deviation ABOVE 76 = 84    and has a z-score .8413   so approx 16% of the population is ABOVE this score  ....but that does not fit the answers......so look at the NEGATIVE z-score table for the value nearest .16  

Between -1.- and - 0.9 standard deviations represents this 16%  ...I'll just use -1.0

76 - 1.0(8) = 68        scores below 68 represent 16% of the scores

 thanks

Also, remember that tan A= sin A/ cos A.

Thus, we have \(2*\frac{\sqrt{3}}{2}*\frac{\sqrt{3}}{3}=\frac{3}{3}=\boxed{1}.\)

sin 60  = sqrt (3) /2

tan 30  =  1 /sqrt 3

So

2 [ sqrt (3) / 2 ] * [ 1 /sqrt (3) ]   =

sqrt (3)  / sqrt (3)   =  

1  

I think it is D   the probabilities should add to no more than 1.0 if all of the Px's are included in the table

10 pounds is BELOW the mean     11.6 - 10 = 1.6     1.6/1.3 = 1.231 standard deviations below the mean

Look at your negative z -score table 1.23  corresponds to the fraction .1093

  ....this is how many books weigh LESS than 10 pounds....the remainder   (1-.1093) will weigh MORE than 10 pounds

(1-.1093)(136) = ~~ 121 books weigh more than 10#

(Thanx CHris for spotting my typo!)

Exp Value   = (0)(.35)  + (1)(.25) + (2)(.05) + (3)(.2) + (4)(.15)  = 1.55