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Oops  !!!!..... I made a slight error....I'll go back and edit it....sorry!!!!

That's what I thought it was but it seemed to easy ;)  thanks 

OK.......got it......

The area = 2 pi *r * h   =    2pi (6.2) (2) = about 78m^2

Take 32 multiply it by 64 

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x/32=64  
x=64 x 32 

x = 2048

81 divided by 7 = 12 ish 12 x 2 is 24 so around 24/82 people have over due books 

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moderater. can you tell me where  you got the 6.5 from? also, isnt' sinus the across leg/hypotenuse? why'd you use the sinus of 23.5?

 (7*(7-6+2)^2)-6=7*(1+2)^2-6=7*3^2-6=7*9-6=63-6=57

(7*(7-6+2)^2)-6  =  [ perform all the operations in the innermost parentheses, first   ]

(7*(1 + 2)^2) - 6 =  

(7* (3)^2) - 6 =  [ evaluate the exponent ]

(7 * 9)  - 6 =     [multiply within the parentheses  ]

63 - 6 =

57

2x+x=3x

149 (.60)  = $89.40   = sales price

discount = 149 - 89.40 = $59.60

EDIT

The term "cathetus"  is new, to me.....I think the more common term is "leg"

If the angle across from d  is  66.5°........then the remaining angle opposite the other leg is [90 - 66.5] = 23.5°

And using the Law of Sines, we can find the other leg, x

5.2 / sin 66.5  = x / sin 23.5

x = (5.2) sin 23.5 / sin 66.5   = about 2.26

And the hypotenuse is   sqrt (5.2^2 + 2.26^2 )  =  about  5.7

y=  -x - 2 

Notice that the greatest number that divides both 16 and 20  is 4

So.......as Gatsaki has said, each group will have 4 members.....4 groups of sixth graders and 5 groups of seventh graders

Find the equation of the tangent to the curve with equation y = x^3 +2x^2 -3x + 2at at the point where x = 1.

The derivative (slope) at any point on the curve is given by:

y ' = 3x^2 + 4x - 3

And at x = 1 , f(1) = y = (1)^3 + 2(1)^2 - 3(1) + 2 =  2

And the slope at x = 1  ..... =  3(1)^2 + 4(1) - 3  = 4

And the equation of the tangent line at this point is given by

y - 2 = 4(x - 1)

y = 4x - 4 + 2

y = 4x - 2

Here's a graph of the situation :   https://www.desmos.com/calculator/a5uden7nol

You will have 9 groups and the max will be 4 people in each group

1/9  = .1111 repeating

2/9 = .2222 repeating

3/9 = .3333 repeating

4/9 = .4444 repeating

I assume that this is :

6.25  = r²      

Take the pos/neg square roots of both sides

(plus/minus) 2.5

The number of separately identifiable permutations is given by :

8!  / [5! * 3!]  = 56

the answer is 4

An integer  can be defined as a number that is usually plotted on the number line, i.e, the whole numbers, 0, and the negatives of the whole numbers......so we have

.......-3  -2  -1   0  1  2  3.........   [ and these extend in both directions ]

24 * ( 2 + 3/4)  =

24 * ( 11/4)  =

(24 / 1) * (11/4)  =

(24 / 4)  * (11 / 1) =

6 * 11   =

66

You have enough  !!!

Note that, by definition, sqrt(-1)  = i

So, for example

sqrt(-16)   = sqrt(-1) * sqrt(16)   =      i * 4    = 4i

If 1 cm represents 300,000 cm

Then  4.3cm  =    (4.3)(3000,000cm) = 1,290,000cm  = 12.km