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thanks

its  -75 because it under sea level ?

i might be wrong

We can find the change thusly :

-5 - (-80)  =

-5  + 80  =

75 feet

Let N be the number

Then   27% of N  = 5......so......

.27*N  = 5     divide both sides by .27

N = 5 / .27   = 18.5185  (185 repeating)

1/8.........each spin is independent of the results that occured before........we have a 1/8 chance of landing in any sector with every spin.....

I assume that the man is 900 ft from the house and the helicopter is directly over this house....so.....the height, h, of the helicopter can be found thusly:

tan (49)  = h / 900

h = 900*tan (49)  = about 1035.33 ft

a + b = 3

a - b =  -1      add these equations

2a = 2       divide both sides by 2

a = 1

So....if ab  = 2, then.....

(1)b = 2    so b  = 2

And    a/b =   1/2

Here's a graph of all the equations and their solution at the intersection point (1,2)......I have substituted  x, y for a, b

https://www.desmos.com/calculator/0bye1246yo

5a*95=? a=37

5(37) *95 =  17575

Thanks Alan, I am not as good a detective as you ://

a quarter

1/4

or if there is any room for confusion  (1/4)

Looking at the numbers supplied carefully, I think the following was intended:

Nbr on die.        Nbr of appearances.

       1.                        2

       2.                        7

       3.                        9

       4.                        4

       5.                        6

       6.                        0

So, numbers less than 3 occur 9 times (2 + 7) out of 28.  

Probability = 9/28

Hi Mellie is is great to see you on the forum again :))

Both guests have given great answers.  Thanks guests.

I will assume that you are only talking about irrational numbers where the irational bit is a surd.

(a) Give an example of two irrational numbers which, when added, produce a rational number.
\(\sqrt5 \quad and \quad(-\sqrt5)\\ 3+\sqrt2 \quad and \quad 3-\sqrt2\\ \)

Any two numbers where the one has has the negative radical of the other one.
That is not very mathematically precise but I expect you know what I mean.

Now let's consider just the addition of radicals.

(b) Suppose that  a and  b are positive integers such that both sqrt a  and  sqrt b are irrational. For what values of  and  is  rational? Prove your answer.  None I think.....

(c) Again assuming  a and  b positive integers such that both  sqrt a and  sqrt b are irrational, for what values of and  is  rational? Prove your answer.

Lets see.

First you should fully understand this proof.

Prove  sqrt(2) is irrational.

rectangular block -

volume: 126m3 

length: 7m

breadth: 6m

height: 3m

question: a litre of paint can cover 20m2. how many litres of paint will it take to paint all but (except) the base of the block?

Sides are 7m by 6m and the height is 3m

So areas

long side     A=7*3=21m^2

other long side     A = 21

short side   A =6*3=18

other short side also 18

top = 7*6=42

Total area to be painted = 21+21+18+18+42 = 120m^2

120 divided by 20 = 6 cans of paint     

y=(x-sinx)+ (x-cosx)

y=x-sinx+ x-cosx

y= 2x - sinx - cosx

There is nothing to solve but here is the graph.

A googol is a number.

1  googol = 10¹⁰⁰      

10¹⁰⁰  is 1 followed by 100 zeros so it is a very big number :)

In Australia, guys, used like this, refers to girls as well as boys so I am not being sexist.  

Thanks guys you are both correct of course :))

If you want to enter 2⁹ you can

enter it as  2 [ x^y ] 9 = using the calc keys

or you you can type in 2^9 and press equals.

2^9 = 512

Use the distance formula to get the distance between those two points. Thats the radius. Then use tha area and circumference formulas.

Actually if you skech it you can get the radius really easily. :)